A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?

Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect.  To find this point, first equate the equations and solve for x:

[tex]\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}[/tex]

Substitute the found value of x into one of the equations, and solve for y:

[tex]y=3\left(\dfrac14\right)+1=\dfrac74[/tex]

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

[tex]\left(\dfrac14,\dfrac74\right)[/tex]

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

Answer:

Make a table of values. Take numbers starting from 0 and plug them for t. This way you will get values for d. Since your answer is 3, you don't have a lot to plug in and calculate. Then make a graph where t is on the x-axis and d is on the y-axis. According to your d values you can make intervals of 10s, 20s or even 100s. Lastly just plot your data.

This is what I usually do and it works out fine.

Answer:

2

Step-by-step explanation:294/7=42

Answer: B

Step-by-step explanation:

A=a2

P=4a

Solving forA

A=1

16P2=1

16·722=  324in²

Answer:

Step-by-step explanation:

Ratio of side of the 30-60-90 triangle is x : x√3 : 2x

Side opposite to 30° is the shortest leg and it is a

Side opposite to 60° is the longest leg and it is a√3

side opposite to 90° is hypotenuse and it is 2a and it the longest side.

7) a = 8 (Which is opposite to 30°)

 w = 2a = 2*8

w = 16

v = √3a = √3 *8

v = 8√3

8) a√3 = 5√3   (Which opposite to 60°)

   a = 5√3 ÷√3

y = a ⇒y= 5

x = 2a

  = 2*5

x = 10

9) hypotenuse = 10

2a = 10

a = 10 ÷ 2

a = 5

x = a√3

x = 5√3

y = a

y = 5

Answer: A

Step-by-step explanation:

A centroid is the intersection point of the medians (which are the lines that connect a vertex of a triangle to the midpoint of the opposite side)

The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.

Find the slope (m):

Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)

Slope (m) = -3/1 = -3

Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:

-1 = -3(1) + b

-1 = -3 + b

-1 + 3 = b

2 = b

b = 2

Substitute m = -3 and b = 2 into y = mx + b

y = -3(x) + 2

y = -3x + 2

Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.

Learn more about equation of linear function on:

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Answer:

Step-by-step explanation:

A

Answer:h(13) = 18

Step-by-step explanation:

Answer:

The answer is x=2, -2

Step-by-step explanation:

The explanation is in the pic.

Answer:

[tex]X^2=2[/tex]

The tiny two means square, meaning multiply the number behind it by itself.

First, start with exponents, in this case, squares.

[tex]2*2=4[/tex]

Second, yet last, multiply eight by four.

[tex]8*4=32[/tex]

With that information, your answer is [tex]2[/tex]

Answer:4

Step-by-step explanation:

and ritz crackers are pretty good

only two day are left as u can see the graph from 40 percent to to percent

Answer:

c is the answer  try C

Step-by-step explanation:

Answer:

9&3

Step-by-step explanation:

I went and used the internet.....

$36,157

$139,450-$16,050=123,400

123,400×28% (or .28)=34,552

16,050×10% (or .10)=1,605

34,552+1,605=$36,157

Answer:

If you are looking for the least and the most, the answer for the least would be 3:4 and for the most 11:12

Step-by-step explanation:

Answer:

x^2 + x + 30

Step-by-step explanation:

I am assuming the second one is (x + 6).

Answer: x^2 + x - 30.

Step-by-step explanation: i took the test and put the answer the person above me gave and it was incorrect.

Answer:

The sum of 4 and a number

4+x

Divided by 2 is less than -6

4+x/2<-6

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:

True

Step-by-step explanation:

Trust

Answer:

A.

Step-by-step explanation:

Hope this helps.

pls give me brainiliest

Answer:

In the year 2026 population of both the states will be the same.

Step-by-step explanation:

It has been given in the question that the population y of State A in year x will be represented by the equation

-3x + y = 11,400

⇒ y = 11,400 + 3x --------(1)

Similarly, an equation that represents the population for State B is

-138x + y = 8,000

⇒ y = 138x + 8,000 -------(2)

If population y for both the states are equal then

3x + 11,400 = 138x + 8,000

11400 - 8000 = 138x - 3x

135x = 3400

x = 25.19 [After 25 years ]

Since  x = 0 represents the population of the states in the year 2000

therefore, population y will be the same in both the states in the year (2000 + 26)

= 2026

[tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]

======================================================

Explanation:

Refer to the drawing below. I started off with the original diagram given, then I split up the triangles HPF (red)  and GKJ (blue)

We're given that [tex]\angle GJK \cong \angle HFP[/tex]. If we had another congruent pair of angles, then we could use the AA (angle angle) similarity theorem to prove the triangles are similar. However, none of the answer choices mention another pair of congruent angles. Choices A and B are very close, but the [tex]\sim[/tex] should be [tex]\cong[/tex] instead. So we rule them out.

Focus on triangle GJK. Notice how the sides KJ and JG are surrounding the angle GJK. In other words, angle GJK is sandwiched between sides KJ and JG. Similarly, angle HFP is sandwiched between sides PF and FH in triangle HFP.

If we knew that the ratios KJ/JG and PF/FH were the same, then that would be enough info to use the SAS (side angle side) similarity theorem to prove the triangles similar. So that's why we go for [tex]\frac{KJ}{JG} = \frac{PF}{FH}[/tex]

There are other possible ways to write that equation.

Answer: 62480

Step-by-step explanation

you write down 67000 than subtract 4520 ,scrach the seven and make it a six and ad that 1 to the first zero scranche that out and make it nine add it to the next zero now ,0-0=0 , 10-2=8 ,9-5=4,4-6=2, move the 6 down you now have 62480 mph

Answer: 4

Step-by-step explanation:

Terms: Increased means adding, a product means multiplication.

1. Convert it into an equation: 6+4x=22

2. Then subtract 6 from the left side and pass it to the right to get 22-6= 16. Now, you have 4x=16.

3. Then you want to leave the x alone, so you divide both sides of the equation by 4.

4. Therefore, your answer is 4!

Hope this helps :)

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]

[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]

[tex]\sf\large\underline{\star To\: Find:-}[/tex]

[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]

Where,

[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]

[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]

[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)

[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]

Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]

___________________________________

Hope it helps you:)

Answer:

0; 60; 360°.

Step-by-step explanation:

1) to solve the given equation without limitation;

2) to apply the given limitation to the solution of the given equation.

all the details are provided in the attachment. The answer is marked with red colour.

Note, the provided way is not the shortest one.

The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

An equation is an expression used to show the relationship between two or more numbers and variables.

This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.

Hence:

Amount of rice harvested =  7,553 bushels per acre * 690 acres = 5211570 bushels

The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

Find out more on equation at: https://brainly.com/question/2972832

Answer: B

Step-by-step explanation:

if on edg just took the quiz

Answer:

∠A = 94°

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180°.

Therefore, if ∠A and ∠B are supplementary:

⇒ ∠A + ∠B = 180

⇒ (2x + 10) + (2x + 2) = 180

⇒ 4x + 12 = 180

⇒ 4x = 168

⇒ x = 42

To find ∠A, substitute found value of x into the expression for ∠A:

⇒ ∠A = 2(42) + 10 = 94°

Answer:

1

Step-by-step explanation:

On the Graph, When X is 4, Y is 1.

Hope This Helps! :) Please give brainliest if you can!

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that  1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

         250 milliliters of lemonade = 0.250 l of lemonade juice

         500 milliliters of orange juice = 0.500 l of orange juice

         250 milliliters of grape juice = 0.250 l of grape juice

         250 milliliters of apple juice= 0.250 l  of apple juice

         500 milliliters of cranberry juice =  0.500 l of cranberry juice

         500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

 4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

 2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

 2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

 2 juice containers of  pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

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