Answer:
-b + 5
Step-by-step explanation:
translation
Final answer:
The y-coordinate of point S after reflection across the x-axis and translation is -b, as reflection across the x-axis changes the sign and translation to the right does not affect the y-coordinate.
Explanation:
The student is asking to find the y-coordinate of a point S after a reflection across the x-axis and a translation 5 points to the right of a point R with coordinates (a,b).
The reflection of the y-coordinate across the x-axis changes its sign, so the reflected y-coordinate of point R would be -b. Translating a point to the right does not affect the y-coordinate, so the y-coordinate of point S would remain -b after this translation. Therefore, the expression that represents the y-coordinate of S is simply -b.
Find the volume of the rectangular prism
Answer:
V = 490 cm^3
Step-by-step explanation:
V = l*w*h
V = 7*10*7
V = 490 cm^3
To find the volume of a rectangular prism, we use the formula
Volume = length × width × height.
Since the rectangular prism has a length of 10 cm, a width of 7 cm, and a height of 7 cm we can plug this information into the formula.
(10 cm) (7 cm) (7 cm)
10 × 7 = 70
70 × 7 = 490 cm³
QUICK PLEASE !!!!!
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 3x + 3Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
==============================================
From the table we have :
x = 1 → y = 6
x = 2 → y = 9
x = 3 → y = 12
x = 4 → y = 15
Calculate the slope (choice any two pairs, and calculate the slope):
(1, 6), (2, 9)
[tex]m=\dfrac{9-6}{2-1}=\dfrac{3}{1}=3[/tex]
We have the equation:
[tex]y=3x+b[/tex]
Put the coordinates of the point (1, 6) to the equation, and solve it for b:
[tex]6=3(1)+b[/tex]
[tex]6=3+b[/tex] subtract 3 from both sides
[tex]3=b\to b=3[/tex]
Finally:
[tex]y=3x+3[/tex]
Identify the x-intercept of m(x).
m(x)=x^2-2x-8/x^2-x-2
Answer:
[tex]\large\boxed{x-intercepts:-2\ and\ 4}[/tex]
Step-by-step explanation:
[tex]m(x)=\dfrac{x^2-2x-8}{x^2-x-2}\\\\\text{At the beginning we de}\text{fine the domain:}\\\\D:x^2-x-2\neq0\\\\x^2-2x+x-2\neq0\\x(x-2)+1(x-2)\neq0\\(x-2)(x+1)\neq0\iff x-2\neq0\ \wedge\ x+1\neq0\\\boxed{x\neq2\ \wedge\ x\neq-1}\\================================\\\text{The x-intercept is for}\ m(x)=0.\ \text{Therefore we have the equation:}\\\\\dfrac{x^2-2x-8}{x^2-x-2}=0\iff x^2-2x-8=0\\\\x^2+2x-4x-8=0\\x(x+2)-4(x+2)=0\\(x+2)(x-4)=0\iff x+2=0\ \vee\ x-4=0\\\\x=-2\in D\ \vee\ x=4\in D[/tex]
Help with this question !!!
Answer:
y=-x+2
Step-by-step explanation:
Take two points and solve for the slope using: (y2-y1)/(x2-x1)=m
Then take the slope and plug it into the slope-intercept equation, y=mx+b.
Finally, take a xy pair and plug it into your equation to solve for b.
What is the surface area of the composite figure
Answer:
The answer is 672.
Step-by-step explanation:
To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).
8 x 8 x 2 = 128
8 x 11 x 2 = 176
8 x 11 x 2 = 176
Then, add of the products together to find the surface area of the rectangular prism.
176 + 176 + 128 = 480
Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).
8 x 8 = 64.
64 ÷ 2 = 32.
SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).
32 x 4 = 128.
Now, let's tackle the square. All you have to do is find the area of the square.
8 x 8 = 64.
To find the surface area of the total square pyramid, add both surface areas.
128 + 64 = 192.
Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.
192 + 480 = 672.
Therefore, 672 is the answer.
Write the percent as a decimal
0.35%
Answer:
0.35 = 35%
Step-by-step explanation:
Move the decimal point two places to the right: 0.35 → 3.5 → 35.
Add a % sign: 35%
Answer 0.35 = 35%
Answer: 35
Step-by-step explanation: move the decimal right two spaces
are these triangles similar? if so, what postulate or theorem justifies that they are similar?
Answer:
Yes The triangles are similar by SAS Similarity Theorem
Step-by-step explanation:
we know that
Side-Angle-Side Similarity, states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar
In this problem
Angle L is congruent with Angle Z
so
Verify if the included sides are proportional
so
[tex]\frac{LJ}{ZY}=\frac{KL}{XZ}[/tex]
substitute the values
[tex]\frac{3}{1.5}=\frac{4}{2}[/tex]
[tex]2=2[/tex] -----> is true
therefore
The triangles are similar by SAS
The recipe for Jack's Famous Chili uses 222 teaspoons (\text{t})(t)left parenthesis, t, right parenthesis of red hot chili powder for each cup (\text{c})(c)left parenthesis, c, right parenthesis of tomato sauce.
His rival, Marsha, claims her chili is spicier. She makes chili in large quantities, and uses the chart below.
Whose chili is spicier?
Chili powder (\text{t})(t)left parenthesis, t, right parenthesis Tomato sauce (\text{c})(c)left parenthesis, c, right parenthesis
444 3.53.53, point, 5
888 7.07.07, point, 0
121212 10.510.510, point, 5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Jack's
(Choice B)
B
Marsha's
(Choice C)
C
They are equally spicy.
Answer: A=jack
Step-by-step explanation:
Answer:
Choice A (Jack)
Step-by-step explanation:
Hope this helps!
Which of the following could represent
the unit side lengths of a right triangle?
A 8,8; 16
C 12, 24, 36
B 2,4,5
D 8, 15, 17
Answer: D
Step-by-step explanation:
8²+15²=17²
jayden's old washing machine took 31 1/2 minutes to wash a load. He bought a new washing machine that takes 10% longer. How long does jayden's new washing machine take to wash a load?
Answer:
28.35
Step-by-step explanation:
10 percent of 31.5 = 3.15
31.5
-3.15
-------------
28.35
Answer:
34.45 minute or 34 and 9/20 minutes
Step-by-step explanation:
10 percent of 31.5 is 3.15
And 31.5+3.15=34.45
We add because it is 10% longer.
Probability: If you roll a regular 6-faced die 1200 times, about how many times would you expect to get a 4?
If you roll a six sided dice once, each outcome has a 1/6 probability.
This means 4 has a 1/6 probability.
If you roll a dice 1200 times....
1200 × 1/6 = 1200/6 = 200
You would expect to get a 4 200 times.
Answer:
200
Step-by-step explanation:
Divide 1200 by 6.
Help ME!!!!!! The question is : Write a positive or a negative number to represent each situation.
-3 because below is less and 3 less than zero is -3
6 because sea level would be zero and 6 above is 6
-5 cause your losing 5 pounds which means its 5 less so -5
4 because say you have zero dollars then you find 4 you now have positive 4
Which set of steps shows how to find f(-2) when f(x) = -2x – 3?
Answer:
f(- 2) = 1
Step-by-step explanation:
Evaluate f(- 2) by substituting x = - 2 into f(x)
f(- 2) = - 2(- 2) - 3 = 4 - 3 = 1
Explain how you can prove that three weeks is less then 24 days
Answer:
7 is the number of how many days are in a week. So 7 x 3 is 21. That is less than 24 days. 24 days is 3 weeks and 3 days.
Step-by-step explanation:
Well, there is 7 days in a week.
So, in 3 weeks, there are 3 times more days than 7 days.
Therefore, there are 21 days in three weeks, and 24 days are more than 21 days, or three weeks.
the sum of two odd consecutive numbers, the greater of which is equal to 2n+1.
Answer:
43 and 41
Step-by-step explanation:
2n-1+2n-3=84
4n-4=84
4n=88
n=22
2(22)-1 and 2(22)-3
44-1 and 44-3
43 and 41
write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.
.
Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.
What is the factored form of the following expression?
W^2 + 18w + 77
Answer:
(w + 11)(w + 7)
Step-by-step explanation:
Consider the factors of the constant term ( + 77) which sum to give the coefficient of the w- term ( + 18)
The factors are + 11 and + 7, since
11 × 7 = 77 and + 11 + 7 = + 18
w² + 18w + 77 = (w + 11)(w + 7)
Answer:
[tex]\large\boxed{w^2+18w+77=(w+11)(w+7)}[/tex]
Step-by-step explanation:
[tex]w^2+18w+77\\\\77=7\cdot11\\18=7+11\\\\w^2+18w+77=w^2+11w+7w+77=w(w+11)+7(w+11)\\\\=(w+11)(w+7)[/tex]
Other method:[tex]\text{Use:}\ (a+b)^2=a^2+2ab+b^2\\\\w^2+18w+77=0\qquad\text{subtract 77 from both sides}\\\\w^2+18w=-77\\\\w^2+2(w)(9)=-77\qquad\text{add}\ 9^2\ \text{to both sides}\\\\w^2+2(x)(9)+9^2=-77+9^2\\\\(w+9)^2=-77+81\\\\(w+9)^2=4\to w+9=\pm\sqrt4\\\\w+9=-2\ \vee\ w+9=2\qquad\text{subtract 9 from both sides}\\\\w=-11\ \vee\ w=-7\\\\(w-(-11))(w-(-7))=(w+11)(w+7)[/tex]
PLEASEEEEEEE HELP ME!
Answer:
DC = 6
Step-by-step explanation:
Given in the question,
radius = 3x
tangents to the circle = 12 + 5x and 8 + 7x
If you draw line from A to D, two right angle triangle will be form ADC and ADB
having radius = 3x
By using pythagorus theoremhypotenuse² = base² + height²Since, both triangle share same hypotenuse AD
so,
ΔADC ΔADBbase² + height² = base² + height²3x² + (8 + 7x)² = 3x² + (12 + 5x)²
3x² will be cancel out
(8 + 7x)² = (12 + 5x)²
64 + 112x + 49x² = 144 + 120x + 25x²
rearranging like terms
49x²-25x² +112x - 120x + 64 -144 = 0
24x² - 8x - 80 = 0
(x- 2)(x + 5/3)
x = 2
x = -5/3 rejected as radius can't be negative
So,
length of radius = 3x = 6
Which of the following points is a solution of y > |x| + 5?
(0, 5)
(1, 7)
(7, 1)
Answer:
[tex]\large\boxed{(1,\ 7)}[/tex]
Step-by-step explanation:
[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]
[tex]y>|x|+5\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(0,\ 5)\to x=0,\ y=5\\5>|0|+5=0+5=5\qquad\text{FALSE\ :(}\\\\(1,\ 7)\to x=1,\ y=7\\7>|1|+5=1+5=6\qquad\text{CORRECT\ :)}\\\\(7,\ 1)\to x=7,\ y=1\\1>|7|+5=7+5=12\qquad\text{FALSE :(}[/tex]
Factor completely.
48y^2 + 82y – 70
please help and show work. super confused :P
Answer:
2(8y-5)(3y+7)
Step-by-step explanation:
48y^2 + 82y – 70
2(24y^2+41y-35)
(8y-5)(3y+7)
2(8y-5)(3y+7)
Hope this helps! :)
Simplify to create an equivalent expression 6(7-3y)+6(y+1)
Answer:
6(7 - 3y) + 6(y + 1) = 42 - 18y + 6y + 6 =
-12y + 48 = 12(4 - y)
The expression 6(7-3y)+6(y+1) simplifies to 48-12y by distributing the 6 and combining like terms.
Explanation:To simplify the expression 6(7-3y)+6(y+1), we need to apply the distributive property and then combine like terms.
First, distribute the 6 into the parentheses: 6×7 - 6×3y + 6×y + 6×1.This simplifies to: 42 - 18y + 6y + 6.Then combine like terms (-18y and 6y): 42 - 12y + 6.Finally, add the constants (42 and 6): 48 - 12y.The simplified equivalent expression is 48 - 12y.
To check that the expression is reasonable, you can substitute values for y and see if the original and the simplified expressions yield the same result.
Thus, for the given equation, the result is obtained as: 48 - 12y.
What are the steps she used ?
Which of the statements below is true for the following set of numbers? 20, 15, 50, 85, 75, 60
The option (D) the range is 70 and the midrange is 35 is correct option (D) would be correct.
What is the range?It is defined as the difference between the maximum value in the data set to the minimum value in the data set.
The range is a quick yet effective technique to understand the distribution of the numbers in the data collection. Furthermore, since it simply calls for a simple arithmetic operation, it is simple to calculate. The standard deviation, a different measure of spread, can also be estimated using the range.
Range = max value - min value
Range = 85 - 15
Range = 70
Mid range = 70/2 = 35
Thus, the option (D) the range is 70 and the midrange is 35 is correct option (D) would be correct.
Learn more about the range here:
https://brainly.com/question/17553524
#SPJ2
Without specific statements to evaluate, we can't determine which is true for the set of numbers given. These numbers could represent heights in inches, and more context is needed to provide an accurate answer.
Explanation:The student may be asking which statement regarding the listed set of numbers is true. These numbers are 20, 15, 50, 85, 75, 60. Without knowing the specific statements, we cannot definitively say which one is true or false. However, we can examine the statistics provided for a different data set of students' heights and base our answer on typical statistical questions.
A true statement about this set could be related to trends, averages, medians, modes, ranges, or any other statistical measure. For example, if asked whether this set of numbers could represent a set of heights, the answer could be true, assuming these numbers are in inches since all fall within a plausible range of human heights.
More context or specific questions about the data set would be needed for a more precise answer. The reference information about the heights of students, percentile data, and uniform distributions provide examples of typical problems in a statistics class.
What is the circumference of the circle? Show steps please!
Area = r^2 x PI
to find r take the square root of the area:
r = √100 = 10
The circumference of a circle is the diameter times PI.
The diameter is 2 times r = 2 x 10 = 20
The circumference = 20PI m
The answer is C.
how do i find the length of side labeled y?
Answer:
y = 3
Step-by-step explanation:
The side labeled 'y' is the 'adjacent side' of the 30° angle. The hypotenuse of this right triangle is 2√3.
The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:
adjacent side y
cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.
2√3 2√3
Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3
If a/4 = 2/3, then (a - 4) would equal
Answer:
Step-by-step explanation:
First, evaluate a in the given equation a/4 = 2/3.
Cross-multiplying, we get 3a = 8, and then a = 8/3.
Then a - 4 would be 8/3 - 4, or 8/3 - 12/3, or -4/3 (answer)
3O POINTS!!!
3x2 - 36 ÷ y - (5 + 16)
What is the value of the expression when x = 7 and y = 6?
A.
120
B.
15
C.
2
D.
152
Answer:
A 120
Step-by-step explanation:
3x^2 - 36 ÷ y - (5 + 16)
Let x = 7 and y =6
3(7)^2 - 36 ÷ 6 - (5 + 16)
PEMDAS
Parentheses first
3(7)^2 - 36 ÷ 6 - (21)
Exponents
3*49 - 36 ÷ 6 - (21)
Multiplication and division from left to right
147 - 6 -21
Addition and subtraction from left to right
120
find the volume of the cylindrical to the nearest cubic foot that has a hieght of 3 ft and a radius of 5 ft
The volume of cylinder is 235.5 feet³
Step-by-step explanation:We know that
Volume of cylinder = πr²h
Putting the values
Volume of cylinder = 3.14* 5² * 3
Volume of cylinder = 235.5 feet³
Answer:
235.5 or 236
Step-by-step explanation:
The point ( -6 , 8 ) is reflected across the y axis. What is the coordinates of the reflection
The new coordinations would be (6,8)
Answer:
(6, 8)
Step-by-step explanation:
The y- axis (the vertical axis) acts as a mirror point. When reflecting over the y axis, the y value will stay the same. Think about looking into a mirror on your wall, your height is the same on both sides of the vertical reflecting object
The x-value will change and be the other side of the y-axis. It will be the same distance away from the y-axis that is was, but will have an opposite sign.
Here is was 6 units to the left of the y-axis (where x values are negative), now it is 6 units to the right of the y-axis (where x values are positive)
which of the following is a factor of 3x^3-12x?
3x-4
x+2
x+3
x-4
Answer:
x + 2
Step-by-step explanation:
3x^3 - 12x
=3x(x^2 - 4)
= 3x(x + 2)(x - 2)
so (x+2), (x - 2) and 3x are the factors of 3x^3 - 12x
answer:
x + 2
Answer:
x + 2
Step-by-step explanation:
given
3x³ - 12x ← factor out 3x from each term
= 3x(x² - 4) ← x² - 4 is a difference of squares, hence
= 3x(x - 2)(x + 2) ← fully factorised
hence x + 2 is a factor of the polynomial
53÷12=4R5 show equation
Answer:
53 divided by 12 is 4.4167
Step-by-step explanation: