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Ira Lisetskai [31]

3 years ago

7

How to solve for a, b,

1 answer:

professor190 [17]3 years ago

3 0

It looks like the length of a and b should be the same. You can use the Pythagorean theorem (only works with right triangles):

a² + b² = c² (c is the hypotenuse or the longest side of the triangle, a and b are the other side lengths of the triangle)

a² + (4)² = (5)²

a² + 16 = 25

a² = 9

a = 3

a and b have a length of 3

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Look at triangle ABC. What is the length of said AB of the triangle

Nuetrik [128]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
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A(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad 
B(\stackrel{x_2}{1}~,~\stackrel{y_2}{2})\qquad \qquad 
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d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
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AB=\sqrt{(1-4)^2+(2-5)^2}\implies AB=\sqrt{(-3)^2+(-3)^2}
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5 0

3 years ago

I need help with this question

Black_prince [1.1K]

Answer:

Step-by-step explanation:

The slope-intercept form is found by solving that equation for y.

If $y-3=\frac{1}{2}(x-1)$ then

$y-3=\frac{1}{2}x-\frac{1}{2}$ and

$y=\frac{1}{2}x-\frac{1}{2}+3$ and

$y=\frac{1}{2}x-\frac{1}{2}+\frac{6}{2}$ so

$y=\frac{1}{2}x+\frac{5}{2}$

The answer you have chosen is the correct one! Good job!

6 0

3 years ago

A rectangular garden has a walkway around it. The area of the garden is 6(6.5x + 2.5). The combined area of the garden and the w

Rasek [7]

According to the information given in the exercise, the following expression represents the area of the rectangular garden:

$6\mleft(6.5x+2.5\mright)$

And the following expression represents the combined area of the walkway around the rectangular garden and the area of the garden:

$6.5\mleft(8x+6\mright)$

You can identify that the word "combined" indicates that that expression was obtained by adding both areas.

Knowing the above, you can set up the following equation:

$6(6.5x+2.5)+A=6.5(8x+6)$

Where "A" is the area of the walkway around the rectangular garden.

Solving for "A", you get the following expression:

$\begin{gathered} A=6.5(8x+6)-6(6.5x+2.5) \\ A=52x+39-39x-15 \\ A=13x+24 \end{gathered}$

The answer is:

$13x+24$

7 0

10 months ago

What is the total measure of an average man's brain and heart in kilograms

serg [7]

The brain is about 1500kg when your about the age of fifteen

3 0

3 years ago

A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many

LenaWriter [7]

Answer:

There are 24 squares in the entire rectangle

Step-by-step explanation:

Trom the problem, we are given that one row covers 1/8 of the entire rectangle.

We are also told that this one row, contains three squares.

In other words, what this means is that three squares cover 1/8 of the entire rectangle.

The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.

In fraction, we can represent a whole using 1/1

We can set up a simple relation to this effect.

3 squares give 1/8 of the rectangle

x squares give 1/1 of the rectangle

cross multiplying, we have

x = 3 ÷(1/8) = 24

Therefore, there are 24 squares in the entire rectangle

7 0

2 years ago