Answer:
Step-by-step explanation:
hello :
1) Hello :
let A(-2,3) B(4,-5)
the slope is : (YB - YA)/(XB -XA)
(-5-3)/(4+2) = -8/6 =-4/3
2) Use the point-slope formula.
y - y_1 = m(x - x_1) you have :
m=0 x_1=4 y_1=6
an equation for this line is : y-6 =0(x-4)
so : y=6
A hole the size of a photograph is cut from a red piece of paper to use in a picture frame. On a coordinate plane, 2 squares are shown. The photograph has points (negative 3, negative 2), (negative 2, 2), (2, 1), and (1, negative 3). The red paper has points (negative 4, 4), (4, 4), (4, negative 4), and (negative 4, negative 4). What is the area of the piece of red paper after the hole for the photograph has been cut? 17 square units 25 square units 39 square units 47 square units
Answer: D.
Step-by-step explanation:
First, find the area of the two squares:
The photograph: (-3, -2), (-2, 2), (2, 1), and (1, -3).
The square is diagonally aligned, so we need to find the length between two points in order to find the area.
I will use (1, -3) and (2, 1).
There is a 1 unit length and a 4 unit height. We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:
1^2 + 4^2 = x^2
1 + 16 = x^2
x = square root of 17
The side length for the square of the photograph is the square root of 17, so the area of the photograph is 17 units^2.
The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.
Now that we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:
64 - 17 = 47 square units.
Answer:
D
Step-by-step explanation:
Let's plot these points (see attachment).
We need to find the area of the paper and then the area of the photograph and subtract the photograph area from the red paper area.
The area of the big paper is easy; the side lengths of the square are 8 by 8, so the area is 8 * 8 = 64 square units.
Now, to find the area of the photograph, we just need the length of one side because it's a square. We use the distance formula between any two adjacent points; let's do (-2, 2) and (2, 1):
d = [tex]\sqrt{(2-1)^2+(-2-2)^2} =\sqrt{1+16} =\sqrt{17}[/tex]
Then the area is (√17)² = 17.
Subtract 17 from 64:
64 - 17 = 47
The area is 47 square units, or D.
Simplify to create an equivalent expression.
Answer:
-8p-80
Step-by-step explanation:
The equivalent expression of the expression 4 (- 15 - 3p) - 4 (- p + 5) is (- 8p - 80). Hence option 1 is true.
Used the concept of the equation that states,
Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that,
The equation is,
4 (- 15 - 3p) - 4 (- p + 5)
Now simplify the expression by combining like terms and applying distributive property,
4 (- 15 - 3p) - 4 (- p + 5)
Apply distributive property,
- 60 - 12p + 4p - 20
- 8p - 80
Therefore, option 1 is true.
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4/10 has how many shaded parts as 2/5
Answer:
the same amount
Step-by-step explanation
4/10 half of four is 2
and half of 10 is 5
which is 2/5
56ml is >,<,or = 562cl
Answer:
56 ml < 562 cl
Step-by-step explanation:
56 ml converted into 5.6
562 cl is converted into 5620
use the formula
56 ml / 10 =5.6 ml
or times ten for cl
562 cl X 10= 5620
Will give brainliest!!!!
helpppp!!!
Answer:
28.4 in
Step-by-step explanation:
Igor recently immigrated to the UK. He was an experienced surgeon in his country but had to re-do his medical training in order to work in the UK.
a) Which point on the graph represents Igor's data?
b) The managing director of this hospital concludes that the salary of a surgeon is linked to their age. Give one reason why the scatter graph might support this conclusion.
(I know that the answer is that it correlates positively but you need this for the next question to make sense.)
c) How could we make this conclusion more reliable?
a) Igor's data point on the graph represents his salary and age after re-doing his medical training in the UK. b) The scatter graph might support the managing director's conclusion that salary is linked to age if there is a positive correlation between age and salary. c) To make the conclusion more reliable, other factors like years of experience and specialization should be considered.
Explanation:a) Igor's data point on the scatter graph would represent his salary and age after re-doing his medical training in the UK. This data point would likely be separate from the other data points for experienced surgeons in the UK.
b) The scatter graph might support the managing director's conclusion that salary is linked to age if there is a positive correlation between age and salary for the surgeons in the data. This means that as age increases, salary also tends to increase.
c) To make the conclusion more reliable, additional factors should be taken into account, such as years of experience, specialization, and performance ratings, as these factors may also contribute to salary differences among surgeons.
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If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?
A) segment EF over segment LM equals segment FG over segment MN
B) segment EF is congruent to segment LM
C)segment EF over segment LM equals segment EG over segment LM
D)segment EG is congruent to segment LM
Answer:
i think it is A
Step-by-step explanation:
9 10
TIME REMAINING
39:51
What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?
y = negative 3 x minus 5
y = 3 x minus 5
y = negative 3 x + 5
y = 3 x + 5
Answer:
3x+5
Step-by-step explanation:
Answer:
D : Y = 3x + 5
Step-by-step explanation:
on edge :) hope this helps
Phil's shadow is half as long as Phil is tall. If he were 4 inches taller and his shadow were 3 inches
shorter, his height times his shadow's length would be 100 square inches. How tall is Phil? How
long is his shadow?
Answer:
Phil is 16 inches tall and his shadow is 8 inches tall
Step-by-step explanation:
this is an algebra word problem.
1. Find the unknown and label it x.
Let Phil's shadow be x inches.
2. find other unknown quantities and define them with
Phil's height= 2x (phil is shadow is half as long as Phil is tall)
3. FInd the equation
if he was 4 inches taller (2x+4)
and his shadow was three inches shorter (x-3)
his height ( 2x+4) times the shadow's height (x-3) would be 100 square inches.
(2x+4) ×(x-3)=100
(2x+4)(x-3)=100
this is a quadratic equation and there are a number of ways to solve these. the two main ways are
1. quadratic equation
2. expanding and factorising
3. graphing
we will use 2. expanding and factorising for this problem. We need to make the right hand side = 0 by first factorising then rearranging.
(2x*x)+(2x*-3)+(x*4) +(4*-3)=100
2x^2 -6x+4x-3x-12=100
2x^2 -2x=112
2x^2 -2x-112=0
once factorised take out the common factor of 2
2(x^2-x-56)=0
now factorise what's in the brackets ( two numbers multiply to make 56 but add to make -1.
2(x-8)(x+7)=0
x-8=0 => x=8
x+7=0 x=-7 not possible
the shadow is 8 inces long. Phil is 16 inches tall.
Hope this is of help :)
Phil's height is 16 inches, and the length of his shadow is 8 inches.
To solve the problem, we will let Phil's height be denoted by h (in inches) and the length of his shadow be s (in inches).
1. Phil's shadow is half as long as Phil is tall.
2. If Phil were 4 inches taller and his shadow were 3 inches shorter, the product of his height and his shadow's length would be 100 square inches.
From the first condition:
[tex]\[ s = \frac{h}{2} \][/tex]
From the second condition, we can write the equation involving the modified height and shadow:
[tex]\[ (h + 4) \times (s - 3) = 100 \][/tex]
Next, substitute [tex]\( s = \frac{h}{2} \)[/tex] into the equation:
[tex]\[ (h + 4) \times \left(\frac{h}{2} - 3\right) = 100 \][/tex]
Simplify inside the parentheses:
[tex]\[ (h + 4) \left(\frac{h - 6}{2}\right) = 100 \][/tex]
Multiply both sides by 2 to eliminate the fraction:
[tex]\[ 2(h + 4) \left(\frac{h - 6}{2}\right) = 2 \times 100 \][/tex]
[tex]\[ (h + 4)(h - 6) = 200 \][/tex]
Expand the left-hand side:
[tex]\[ h^2 - 6h + 4h - 24 = 200 \][/tex]
[tex]\[ h^2 - 2h - 24 = 200 \][/tex]
Move 200 to the left side to set the equation to zero:
[tex]\[ h^2 - 2h - 224 = 0 \][/tex]
Now, we solve the quadratic equation using the quadratic formula [tex]\( h = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) where \( a = 1 \), \( b = -2 \), and \( c = -224 \):[/tex]
[tex]\[ h = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(1)(-224)}}{2(1)} \][/tex]
[tex]\[ h = \frac{2 \pm \sqrt{4 + 896}}{2} \][/tex]
[tex]\[ h = \frac{2 \pm \sqrt{900}}{2} \][/tex]
[tex]\[ h = \frac{2 \pm 30}{2} \][/tex]
This gives us two potential solutions:
[tex]\[ h = \frac{32}{2} = 16 \][/tex]
[tex]\[ h = \frac{-28}{2} = -14 \][/tex]
Since height cannot be negative, we discard ( h = -14 ).
Thus, Phil's height is:[tex]\[ h = 16 \text{ inches} \][/tex]
Using [tex]\( s = \frac{h}{2} \)[/tex]:
[tex]\[ s = \frac{16}{2} = 8 \text{ inches} \][/tex]
Find the interest on $5,200 at 6% for 2 and a half years. Which of the following equations would be used to solve this problem?
Answer:
$5,843 or $642
Step-by-step explanation:
At the end of 2 years, your savings will have grown to $5,842.
You will have earned in $642 in interest.
Answer:
(5200×.06) 2.5
Step-by-step explanation:
this would be the equation
help on this please i need help so much
Baseball games were played at a stadium on Tuesday, Wednesday, and Saturday. This table shows how many people attended the games on each day.
How many more people attended the game on Saturday than on Tuesday and Wednesday combined?
A. 3,195 people
B. 1,913 people
C. 1,127 people
D. 913 people
Day Attendance
Tuesday 21,827
Wednesday 18,632
Saturday 41,372
Answer:
D. 913 people
Step-by-step explanation:
solve for x^2 + 12x + 27=0
Step-by-step explanation:
everything has been explained in the image above
What is the solution to the following inequality?
4(2x – 6) + 3 < 19
Step-by-step explanation:
sub. 3 from both sides
distribute 4(2x-6)
8x-24<16
add 24 to both sides
8x<40
divide 8 from both sides
x<5
A jar contains 9 pennies, 10 nickels, 12 dimes, and 5 quarters. A coin is chosen, not replaced, then another is chosen. What is the probability of getting a nickel, then a dime? I need the answer in Fraction form.
Answer:
The probability of getting a nickel, then a dime is 2/21
Step-by-step explanation:
No. of pennies = 9
No. of nickels = 10
No. of dimes = 12
No. of quarters = 5
Total items = 9+10+12+5=36
So, Probability of getting nickel on first draw = [tex]\frac{10}{36}[/tex]
Now the nickle in not replaced
So, Total items = 36-1 = 35
So, Probability of getting dime on second draw =[tex]\frac{12}{35}[/tex]
So, the probability of getting a nickel, then a dime = [tex]\frac{10}{36} \times \frac{12}{35}=\frac{2}{21}[/tex]
Hence the probability of getting a nickel, then a dime is 2/21
Final answer:
The probability of selecting a nickel followed by a dime from a jar filled with various coins, without replacement, is calculated to be 2/21.
Explanation:
The question involves calculating the probability of selecting a nickel and then a dime from a jar containing various coins without replacement. Initially, there are 9 pennies, 10 nickels, 12 dimes, and 5 quarters, totaling 36 coins. To find the probability of selecting a nickel and then a dime, we first calculate the probability of picking a nickel, then multiply it by the probability of picking a dime afterwards.
Probability of selecting a nickel first: 10/36 (as there are 10 nickels out of 36 coins).
After a nickel is selected, there are 35 coins left, including 12 dimes. So, the probability of selecting a dime next is 12/35.
Therefore, the probability of selecting a nickel and then a dime, in that order, without replacement is (10/36) * (12/35) = 120/1260 = 1/10.5, simplifying to 2/21 when expressed in fraction form.
The diameter of a circle with radius of 8 cm is _____________.
Answer:
16 cm
Step-by-step explanation:
Diameter= 2(Radius)
Diameter=2(8)
Diameter=16 cm
The right answer is 16 cm.
You can find diameter by using the formula:
D=r*2
Hope it will help you
what can you tell about the average numbers of dogs treated by each veterinarian in the past year?
Answer:
On average, A New Leash on Life Animal Clinic treats MORE DOGS PER DAY than No Ruff Stuff Animal Hospital.
Step-by-step explanation:
Answer:
On average, A New Leash on Life Animal Clinic treats more dogs per day than No Ruff Stuff Animal Hospital.
Step-by-step explanation:
I took the quiz and got it right
George rolled four different types of paper into four different cylinders. Identical 10-cm rubber bands were placed around the cylinders to hold the
paper in place. Each number in the answer choices is the diameter of one of the cylinders. Which cylinder has the rubber band with the greatest
elastic potential energy?
A. 05 cm
B. 10 cm
C. 20 cm
D. 25 cm
Answer:
I am doing the same thing and I don't know what it is and I need help..
Step-by-step explanation:
I need help on this one too
Answer:
D
Step-by-step explanation:
In the diagram below, OA I OC. Find the value of x. Show your work.
The point where two lines meet is known as an angle. The value of x if OA is perpendicular to OC is 30 degrees
What is line geometry?The point where two lines meet is known as an angle.. From the given diagram;
(180 - 4x) + x = 90
Simplify the result
180 - 3x = 90
Subtract 180 from both sides
-3x = 90 - 180
-3x = -90
Divide both sides by -30
x = 90/3
x =30degrees
Hence the value of x if OA is perpendicular to OC is 30 degrees
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The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
C = pi times 2
C = pi times 4
C = StartFraction pi times 4 over 2 EndFraction
C = StartFraction pi times 4 over 4 EndFraction
The correct equation that can be used to find the circumference of the circle is:
C = π x 4.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The formula for the circumference (C) of a circle is:
C = π x diameter
We are given that the diameter of the circle is 4 cm.
Substituting this value into the formula, we get:
C = π x 4
Simplifying the expression, we get:
C = 4π
Therefore,
The correct equation that can be used to find the circumference of the circle is:
C = π x 4.
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Which answer choice shows the decimals in order from least to greatest?
A. 1.121, 1.53, 1.432, 1.21
B. 1.53, 1.432, 1.21, 1.121
C. 1.21, 1.121, 1.432, 1.53
D. 1.121, 1.21, 1.432, 1.53
Summarize what happens when the number of spins in experimental probability gets closer to 100.
a.
The outcomes get further from the theoretical probability for the same experiment.
c.
The outcomes stay the same.
b.
The outcomes get closer to the theoretical probability for the same experiment.
d.
The sample space gets larger.
Answer:
n sjn a
Step-by-step explanation:
Answer:
b.
The outcomes get closer to the theoretical probability for the same experiment.
Step-by-step explanation:
EDG2021
If the probability of a student spending time reading is 0.10, the probability of spending time watching TV is 0.90, and the probability of spending time reading and watching TV is 0.03, what is the probability of a student spending time reading or watching TV?
Answer:
0.103
Step-by-step explanation:
Answer:
0.103
Step-by-step explanation:
Spectators at the Super Circus were amazed to watch a cannon shoot a clown 212 feet into a net in 4 seconds. How many feet per second did the clown travel
To determine the clown's travel rate, divide the distance by time, resulting in a speed of 53 feet per second.
The student has asked how many feet per second the clown traveled if he was shot 212 feet into a net in 4 seconds. To find the rate of the clown's travel, we can use the formula for speed which is distance divided by time. So, we would take the total distance traveled, 212 feet, and divide it by the total time it took, which is 4 seconds.
The calculation would be:
Speed = Distance \/ Time
Speed = 212 feet \/ 4 seconds
Speed = 53 feet per second.
Therefore, the clown was traveling at a rate of 53 feet per second.
Need help on this, someone help me.
Answer:
I believe it is B
Step-by-step explanation:
What is the equation of a line whose slope is 9 and y-intercept is (0, -1)?
Answer:
y = 9x -1
Step-by-step explanation:
The slope is 9 and the y intercept ( where x is zero) is -1
We can use the slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 9x -1
Answer:
y=9x-1
Step-by-step explanation:
y=mx+b
m=9
b=-1
Answer: y=9x-1
PlZZ explain. I"m confused.
How to know if a number that is square rooted is rational or irrational?
Step-by-step explanation:
when you put the number and the square root in the calculator, always at the same time, you should either get a number with a bunch of numbers after the decimal point or not very many. for example, a rational number could be[tex]\sqrt{9[/tex] = 3 where as the numbers could be multiplied (3x3=9). and a irrational number is like [tex]\sqrt{5[/tex] = 2.2360679775, so they cannot be multiplied to get 5. hope this helps!
I need help with this math problem.
Answer:
X= 12
Y=-3
Step-by-step explanation:
Olivia is graphing the inequality x greater-than 12. She begins by drawing a number line and placing an open circle at 12.
A number line going from 7 to 17. An open circle is at 12.
Which could be Olivia’s next step?
shading the number line to the left of the open circle
shading the number line to the right of the open circle
shading the number line to the right and left of the open circle
shading in the open circle
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
how can you compare properties of two functions each represented in a different way
Properties of functions can be compared graphically using line graphs, bar graphs, or pie charts or algebraically. Ensure you're comparing similar properties like domain, range, minima, or maxima among others. Keep in mind the old rule, you can't compare apples and oranges - make sure quantities you are comparing are dimensionally consistent.
Explanation:Comparing properties of two functions each represented in a different way can incorporate various methodologies including algebraically or graphically analyses. This comparison can be facilitated using different kinds of plots such as line graphs, pie charts, or bar graphs. The key is to ensure you are comparing similar properties of the functions such as domains, ranges, minima, maxima, or continuity to name a few.
Line graphs are particularly useful in depicting relationships between two variables where one is on the x-axis and the other on the y-axis. This can be used to reveal trends, patterns or comparisons in the data. Pie charts illustrates how something is apportioned or distributed such as amounts or categories. Each slice signifies a proportion of the whole. Bar graphs, on the other hand, utilise the height of bars to depict relationships. Each bar represents a particular entity or category, and can also be subdivided for more comprehensive insights.
Remember, it's vital that you're comparing apples to apples - in other words, that the quantities or aspects of the functions you're comparing are dimensionally consistent.
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