Answer:
The other end of the rope was not tied to anything
Step-by-step explanation:
The dog was tied to a rope of 15 feet long and the bone was 30 feet away from where he was tied. The rope used to tie the dog is 15 ft long . But the other end of the rope wasn't tied to anything, this simply means the dog can easily approach and get the bone 30 ft away from where it was tied.
The other end of the rope was not tied to anything . This implies that the dog can simply reach the bone without breaking a sweat. The 15 feet rope was only tied to the dog , so it does not stop the dog from reaching a bone that is 30 ft away.
Solve for y. 2y + 10 = –3y
Answer:
y = -2
Step-by-step explanation:
2y + 10 = -3y
subtract 2y from both sides
10 = -5y
divide by -5 for both sides
-2 = y
consider the following function f(x)= -9 (1/3) x+3
Answer:
x = 1
Step-by-step explanation:
Download photomath and you can find out.
Answer:
Part A: What is the y-intercept for f(x)? Write your answer as a fraction.
-1/3
Part B: What is the x- intercept for f(x)?
undefined
Part C: Find f(-1)
-1
Step-by-step explanation:
Hope this helps those on Section 7 Topic 4
Which three lengths could be the lengths of the sides of a triangle? 6 cm, 22 cm, 10 cm 7 cm, 25 cm, 11 cm 9 cm, 22 cm, 11 cm 10 cm, 14 cm, 23 cm
Answer:
10 cm, 14 cm, 23 cm
Step-by-step explanation:
Answer:
10 cm, 14 cm, 23 cm
Step-by-step explanation:
DEF is a right angle ?
Answer:
False
Step-by-step explanation:
Since we want to test if it is a right triangle, we can use Pythagorean Theorem
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
In the given triangle, 23 and 26 are the legs, since they are shorter sides. 42 is the hypotenuse, since it is the longest side.
Therefore, a is 23, b is 26 and c is 42. Substitute these values into the equation
23^2+26^2=42^2
Evaluate the exponents
529+676=1764
Add 529 and 676
1205=1764
This statement is not true, 1205 is not equal to 1764. Therefore this is not a right triangle.
Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
A X <-9
B. x > 3
O c. xx-3
D. X>7
Work Shown:
5(3-x) < -2x+6
15-5x < -2x+6 .... distribute
15-5x+5x < -2x+6+5x ... adding 5x to both sides
15 < 3x+6
15-6 < 3x+6-6 ... subtracting 6 from both sides
9 < 3x
3x > 9 ... flip both sides of inequality, flip the inequality sign
3x/3 > 9/3 ... dividing both sides by 3
x > 3
Notice that when going from 3x > 9 to x > 3, the inequality sign does not flip. The sign only flips if you divided both sides by a negative number.
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
31 units
39 units
41 units
49 units
Answer:
41 Units
Step-by-step explanation:
You have to use Pitagora.
Diagonal (d) = √9²+40² = √1681 = 41
The length of a diagonal is 41 units.
Length of a diagonalUsing Pythagorean theorem formula
Diagonal (d) =√width²+length²
Let plug in the formula
Diagonal (d)=9²+40²
Diagonal (d) =81+1600
Diagonal (d)=√1681
Diagonal (d) =41 units
Inconclusion the length of a diagonal is 41 units.
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The diameter of a circle measures 28 m. What is the circumference of the circle?
Use 3.14 for y, and do not round your answer. Be sure to include the correct unit in your answer.
28 m
EX
Answer:
87.92 m
Step-by-step explanation:
The formula to calculate the circumference of the circle is:
Diameter * Pi ----> 28 * 3,14
Final answer:
The circumference of a circle with a 28 meter diameter is calculated using the formula C = \\(pi) \\times d, resulting in 87.92 meters as the circumference.
Explanation:
The question requires us to find the circumference of a circle given its diameter, which measures 28 meters. To calculate the circumference, we use the formula C = \\(pi) \\times d, where \\(pi) is approximately 3.14 and d is the diameter of the circle. Since the diameter is 28 meters, the circumference is calculated as follows:
C = 3.14 times 28 m = 87.92 m.
Therefore, the circumference of the circle is 87.92 meters.
Which statement is true
Answer:
A
Step-by-step explanation:
I believe a is true but I'm not a hundred percent sure
Answer:
Answer A
Step-by-step explanation:
13/14 goes to 26/28, which is greater than 25/28.
If 5<2x+3<11, what is the possible range of value of -4x-6
Answer:
-10 > (-4x - 6) > -22
Step-by-step explanation:
Given inequality is 5 < 2x + 3 < 11
Now we will multiply this inequality by (-2) resulting,
5(-2) > (2x + 3)(-2) > 11(-2)
-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)
Therefore, the possible range of (-4x - 6) is between -22 and -10.
Find the inverse of the function.
y = X - 9
Answer:
x=y+9
Step-by-step explanation:
so what we do here is take x-9 and add 9 to both sides giving us y+9=x all we do is put x first and y+9 last and we have the inverse
The side lengths of three triangles are shown in the table. Which of the triangles is a right triangle?
Answer:
Triangles I and III are right triangles, because they are similar to a 3-4-5 right triangle.
Step-by-step explanation:
The Pythagorean theorem tells you of the relationship between the sides of a right triangle. A set of integer side lengths that satisfies the Pythagorean theorem is called a Pythagorean triple. There are an infinite number of these, and there are formulas for finding them.
The smallest Pythagorean triple is {3, 4, 5}, and it is generally the first one you learn about. It is special for a variety of reasons. One of them is that it is the only Pythagorean triple that is an arithmetic sequence. Any multiple of a Pythagorean triple is also a set of side lengths that will form a right triangle.
__
If we multiply the {3, 4, 5} triple by 2/10, we get {6/10, 8/10, 1}, which matches the side lengths of Triangle I in your list. Multiplying by 1/13 gives {3/13, 4/13, 5/13}, which matches the side lengths of Triangle III in your list. That means both Triangles I and III are right triangles.
__
The Pythagorean theorem tells you that a right triangle with sides a, b, and hypotenuse c will satisfy the relation ...
c² = a² +b²
If the triangle is isosceles, such that a=b, then the hypotenuse will be ...
c² = a² +a² = 2a²
c = a√2
In reduced terms, the sides of an isosceles right triangle have the ratios ...
{1, 1, √2}
That is, there is no rational Pythagorean triple that describes an isosceles triangle. Triangle II cannot be a right triangle.
_____
Additional comment
Just so that you can see {3, 4, 5} is a Pythagorean triple, we show you ...
5² = 3² +4² ⇔ 25 = 9 + 16
Other small integer triples that may be seen in math problems are ...
{5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, {11, 60, 61}, {12, 35, 37}
The coordinate (0,0) is a point on the graph y = 2x.
True
False
What is the distance from (8,3) and (3,1) on the coordinate plane?
Answer:
C
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (8, 3) and (x₂, y₂ ) = (3, 1)
d = [tex]\sqrt{(3-8)^2+(1-3)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-2)^2}[/tex]
= [tex]\sqrt{25+4}[/tex]
= [tex]\sqrt{29}[/tex] → C
Plz answer with explanation will mark brainliest
Answer:
20 minutes
Step-by-step explanation:
2 feet below sea level is -2
The opposite is 2 feet above sea level +2
They are +2 ft at 20 minutes
Answer:
C
Step-by-step explanation:
2 feet below sea level: depth = +2
Opposite: -2
Time: at 50 minutes
Which expression is not equal to the expression shown?
33 3-4
3 3 4 34
3*+34
37 - 30
30+
30
3
3 * 36
*3*
33 x 34
30*34
Answer:
Step-by-step explanation:It’s actually the fourth one because all of them equal 2187 the only one is the last one because it equals 1/2187
I don’t know which one is write and stuck between C and D ?
Answer:
maybe D
Step-by-step explanation:
I'm thinking D because if do
[tex] - 6 - 4 = - 10[/tex]
but also it doesn't make 16 when you do
[tex]4 \times 6 = 24[/tex]
Select the graph that represents h=-16t^2+80
Answer: your graph should look like the picture down below!!
Step-by-step explanation:
Vetex: (0,80)
Focus: (0, 5119/64)
Axis of symmetry: x=0
The graph for the given exponential function is shown in the figure.
What is a exponential function?An exponential function is defined as a function with a positive constant other than 1 raised to a variable exponent. It is a Mathematical function in the form f (x) = a^x, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
For the given situation,
The exponential function is h = -16t^2+80.
Plot this exponential function in the graph.
We can obtain the graph shown below.
From the graph, the vertex is (0,80)
Hence we can conclude that the graph for the given exponential function is shown in the figure.
Learn more about exponential function here
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Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?
Answer:
age of Sam= 15 years
age of Nina = 25 years
Step-by-step explanation:
Let Nina's age be X years
Let Sam's age be Y years
Five years ago Nina's age will be X- 5 years
Five years ago Sam's age will be Y- 5 years
Given in question
Five years ago, Nina was twice as old as Sam
writing it mathematically using X and Y we have
Nina's age = 2 * Sam's age
X- 5 = 2 *(Y- 5)
X = 2 *(Y- 5) + 5 = 2Y - 10 + 5 = 2Y - 5 _________________equation A
__________________________________________________________
Five years in future Nina's age will be X+ 5 years
Five years ago Sam's age will be Y+ 5 years
Given in question
In five years, she will be 1.5 times as old as Sam
writing it mathematically using X and Y we have
Nina's age = 1.5 * Sam's age
X+5 = 1.5 *(Y+ 5)
X = 1.5*(Y+5) -5 = 1.5Y +7.5 - 5 = 1.5Y +2.5 _________________equation B
_______________________________________
in equation A we have X = 2Y - 5
in equation B we have X = 1.5Y + 2.5
equating equation A and B we have
2Y - 5 = 1.5Y +2.5
=> 2Y - 1.5Y = 2.5 + 5
=> 0.5Y = 7.5
=> Y = 7.5/0.5 = 15
from equation A we have
X = 2Y - 5 (substituting the value of Y = 15 in equation we have)
X = 2*15 - 5 = 25
Therefore age of Sam= 15 years
age of Nina = 25 years
Answer:
Nina's 25 and Sam's 15
Step-by-step explanation:
I need help with this
Answer:
(b +4)(b +9)(c -5)(c +9)(k +2)(k +3)Step-by-step explanation:
Consider the product ...
(x +a)(x +b) = x^2 +(a+b)x +ab
You will notice that the linear term (a+b)x has a coefficient (a+b) that is the sum of the factors of the constant term (ab).
For problems like this, it is useful to be able to factor the constant term, so you can choose the factors with the appropriate sum.
Signs are important. If the constant is positive, its factors will have the same sign, both positive or both negative. If the constant is negative, its factors will have opposite signs.
__
1. b^2 +13b +36
Factors of 36 are ...
36 = 1·36 = 2·18 = 3·12 = 4·9 = 6·6
The sums of these are 37, 20, 15, 13, and 12. So, the factor pair we're looking for is 4 and 9. The factorization is ...
= (b +4)(b +9)
__
2. c^2 +4c -45
The middle term is positive, so the larger magnitude factor will be positive. Factors of -45 are ...
-45 = -1·45 = -3·15 = -5·9
Sums of these factors are 44, 12, 4. So, the factor pair we're looking for is -5 and 9. The factorization is ...
= (c -5)(c +9)
__
3. k^2 +5k +6
6 = 1·6 = 2·3 . . . . sums are 7 and 5 ⇒ factors of interest are 2 and 3
= (k +2)(k +3)
Solve for x and y:
x+y=5 x−y=a
PLEASE I NEED MY ANSWER TILL TOMORROW MORNING!
Answer:
x=[tex]\frac{a+5}{2}[/tex] y=5-[tex]\frac{a+5}{2}[/tex]
Step-by-step explanation:
x+y=5
y=5-x
x-y=a
x-(5-x)=a
2x-5=a
2x=a+5
x=[tex]\frac{a+5}{2}[/tex]
x+y=5
[tex]\frac{a+5}{2}[/tex] +y=5
y=5-[tex]\frac{a+5}{2}[/tex]
Answer:
x=5/2 + a/2, y= 5/2 - a/2
Step-by-step explanation:
We can solve this system using addition of the equations
x+y=5
x-y=a
2x =(5+a)
x=(5+a)/2= 5/2 +a/2
x=5/2 +a/2
x-y=a
y = x - a , x=5/2 + a/2
y= 5/2 + a/2-a
y= 5/2 - a/2
Read more on Brainly.com - https://brainly.com/question/12520369#readmoreStep-by-step explanation:
what is 2 square root of 45 in simplest radical form?
Answer:
6√5
Hope this helps :)
What percentage of Coach passengers did not check bags
Answer:
35.2%
Step-by-step explanation:
Add all of the passengers up for the total.
10 + 81 + 14 + 57 = 162
The fraction for how many Coach passengers that did not check their bags is:
57/162
Simplify to a decimal and multiply by 100 to get percent.
Answer: 41.3
Step-by-step explanation:
WILL NAME BRAINLIST!!
Deepak wrote an equation to show the total value of a stack of quarters. The equation is y = 0.25 x, where y represents the total value and x represents the number of quarters. Which table below represents this information?
(these letters will represent the pictures in order.)
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
The fourth graph makes sense, and follows Deepak's equation. To check if a graph follows an equation, all you have to do is substitute the values of x and y into the equation and see if they follow the equation.
Answer:
it would be the last one
Step-by-step explanation:
It takes 32 men to renovate 6 flats in 24 days.
(a) How many flats can 48 men build in 40 days?
Answer:
[tex]3[/tex]
hope this helps
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? (2 points)
Group of answer choices
4x2 + 216x + 2,592 = 0
4x2 + 216x − 684 = 0
2x2 + 216x − 3,276 = 0
x2 + 108x + 3,276 = 0
Answer:
4x2+216x-684x
Step-by-step explanation:
solnA) The dimensions of the table are in inches
Let
x=the thickness of the border
we know that the table and the border must have an area of 3,276 square feet
convert the dimensions of the table to feet
remember that; 1ft =12in
36in=3ft
72in=6ft
i.e; 3,276 = (6+12x)*(3+2x)
solve for x
3276=6×3+ 6×2x +2x×3+ 4x²
3276=18+12x+6x+4x²
4x²+18x+18-3276=0
4x²+18x-3258
solnB) The dimensions of the table are in feet
Let
x=the thickness of the border
we know that the table and the border must have an area of 3,276 square feet
i.e 3,276 = ()×()
solve for x
3,276 = 72×36 + 72×2x + 2x×36 + 4x²
3,276 = 2,592 + 144x + 72x + 4x²
4x² + 216x + 2,592 + 3276 = 0
4x²+216× - 684= 0
therefore; the quadratic equation can be used to determine the thickness of the border =
4x² + 216x - 684 = 0
f K = {(x, y) | x - y = 5}, is Set K a function?
Answer:
Yes, because the linear function x - y = 5 is a function
Step-by-step explanation:
x - y = 5 can look like y = x - 5 with slope 1 and y-intercept -5
so this is a function which makes set K a function.
What is the difference
between:
1X + 3) = 10 & 1X1 + 3 = 10
Step-by-step explanation:
The difference is 1 times +3 is like 1×3=3
Unlike 1 times 1 + 3 =1×1+3=4
Answer:
Step-by-step explanation:
1x +3 is like 1×3=3
1 x 1 + 3 is basically 1×1+3=4
Natalie is opening a clothing store. She plans to start by selling gym shorts. It
costs her $7 for each pair of shorts, $3 per box for the shorts, and $0.25 a
bag. Natalie also spends $650 on rent, $55 on electricity, and $20 on
advertising each month. What is the cost function for Natalie's clothing store
per month?
A. C= 10.25n+ 725
B. C = 7.00n + 725
C. C = 725n+ 10.25
D. C = 7.25n+ 725
O
Answer:A
Step-by-step explanation:
The cost function for Natalie's clothing store per month is C = 10.25n + 725.
Explanation:The cost function for Natalie's clothing store per month can be calculated by adding up all the costs she incurs. This includes the cost of the gym shorts, the cost of the boxes for the shorts, the cost of the bags, and the monthly expenses for rent, electricity, and advertising.
The cost of each pair of shorts is $7, the cost of each box is $3, and the cost of each bag is $0.25. The monthly expenses are $650 for rent, $55 for electricity, and $20 for advertising.
Therefore, the cost function for Natalie's clothing store per month can be expressed as: C = 7n + 3n + 0.25n + 650 + 55 + 20, where n represents the number of gym shorts sold.
Simplifying the expression, we get: C = 10.25n + 725
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The circumference of a
circle is 75.5 ft. What is the radius and
diameter of this
circle? Use 3.14 for Pi.
Round your answer to the
nearest hundredth place
In a normal quadratic function how many
times does it cross the x intercept?
Answer:
0, 1, 2
Step-by-step explanation:
Hi there!
A quadratic function can have either 0, 1 or 2 x-intercepts. This means that the graph of a quadratic function can intercept the x-axis 0, 1 or 2 times.
Attached are some graphical representations of all three cases.
I hope this helps!