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denis-greek [22]

3 years ago

6

. Первый мастер может выполнить задание,

1 answer:

Pavel [41]3 years ago

8 0

1 and 6 percent off my head

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What is the value of the expression 5b+3c-20+3b-15c+4 when b= 2 and c= -3

Molodets [167]

Answer: 36

Step-by-step explanation:

5(2)+3(-3)-20+3(2)-15(-3)+4

10-9-20+6+45+4

-19+55

36

3 0

3 years ago

A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer

Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

$L_A \to$ length of play area A

$W_A \to$ width of play area A

$L_B \to$ length of play area B

$W_B \to$ width of play area B

$x \to$ Area of A

$y \to$ Area of B

From the question, we have the following:

$L_A = 1 + 4W_A$

$W_B = 2 + W_A$

$L_B = 2 + 3W_B$

$x = y$

The area of A is:

$x = L_A * W_A$

This gives:

$x = (1 + 4W_A) * W_A$

Open bracket

$x = W_A + 4W_A^2$

The area of B is:

$y = L_B * W_B$

$y = (2 + 3W_B) * ( 2 + W_A)$

Substitute: $W_B = 2 + W_A$

$y = (2 + 3(2 + W_A)) * ( 2 + W_A)$

Open brackets

$y = (2 + 6 + 3W_A) * ( 2 + W_A)$

$y = (8 + 3W_A) * ( 2 + W_A)$

Expand

$y = 16 + 8W_A + 6W_A + 3W_A^2$

$y = 16 + 14W_A + 3W_A^2$

We have that:

$x = y$

This gives:

$W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2$

Collect like terms

$4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0$

$W_A^2 -13W_A - 16 =0$

Using quadratic calculator, we have:

$W_A = -14.1$ or $W = 1.13$ --- approximated

But the width can not be negative; So:

$W = 1.19$

7 0

3 years ago

Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using

NikAS [45]

Answer:

$y=\frac{1}{3} x+6$

Step-by-step explanation:

$(3,7)(-6,4)$

Step 1. Find the slope (by using the slope-formula)

m = slope

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-7}{-6-3}$

$m=\frac{-3}{-9}$

$m=\frac{3}{9}$

$m=\frac{1}{3}$

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula $y=mx+b$ whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

$y=\frac{1}{3} x+b$

Find the y-intercept (b) by using a point and substituting their x and y values

$y=\frac{1}{3} x+b$

Point: (3, 7)

$7=\frac{1}{3} (3)+b$

$7=1+b$

$b=7-1$

$b=6$

Step 3. Write the equation in Slope-intercept form

$y=mx+b$

$y=\frac{1}{3} x+6$

3 0

2 years ago

Suppose you have 62 feet of fencing to go around a rectangular flower garden. You want

koban [17]

Answer:

Answer is 9 feet = 9 fe 2t

w= 9fe 2t

Step-by-step explanation:

7 0

3 years ago

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Powers of 10 with positive exponents are:<br> less than 1<br> greater than 1

nata0808 [166]

Answer:

greater than 1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers