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3 years ago

Solve the equation. Show your work. 1/a =6/18

1 answer:

6 0

Hey there, we cross mutliply, 1*18=6*a=18=6a, we flip the equation to 6a=18, divide both sides by 6, 6a/6=18/6. We come up with a answer of a=3

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Enter the correct value so that each expression is a perfect square trinomial

myrzilka [38]

Answer:

Step-by-step explanation:

1). x² - 10x + a²

By using the formula of (a - b)² = a² - 2ab + b²

x² - 2(5)x + a²

Therefore, for a perfect square of the expression a should be equal to 5.

Therefore, (x² - 10x + 25) will be the answer.

2). x² + 2ax + 36

= x² + 2(a)x + 6²

For a perfect square of the given expression value of a should be 6.

x² + 2(a)x + 6² = x² + 2(6)x + 6²

= (x + 6)²

Therefore, x² + 12x + 36 will be the answer.

3). $x^{2}+\frac{1}{2}x+a^2$

$x^{2}+2(\frac{1}{4})x+a^2$

To make this expression a perfect square,

a² = $(\frac{1}{4})^2$

$x^{2}+2(\frac{1}{4})x+(\frac{1}{4})^2$ = $(x+\frac{1}{4})^2$

Therefore, the missing number will be $\frac{1}{16}$ .

5 0

3 years ago

Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4

Vanyuwa [196]

Answer:

f(x) = 0.2x - 4 (incorrect)

f(x) = 0.5x + 2 (correct)

f(x) = 1/2x + 2 (correct)

y – 3 = 1/2(x – 2) (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

Step 1 : Find two coordinates

(0, 2) (-4, 0)

Step 2 : Find the slope

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

Step 3 : Find the y-intercept

Y-intercept is where the line intersects the y-axis

c = 2

Step 4 : Form the equation y=mx + c

Given Equations and their slope intercept forms:

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

6 0

3 years ago

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Please Help, This is Due in 4 Hours.

navik [9.2K]

Answer:

0.38 < 0.70

Step-by-step explanation:

7 0

2 years ago

Beginning at the origin, how far do you travel along the x-axis when plotting the point below?

Svetradugi [14.3K]

Answer:

6 because 6 is the x value

Step-by-step explanation:

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2 years ago

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A recipe for 5 batches of bagels uses 15 cups of flour. Ciro wants to know how many cups are needed for 1 batch. Johanna wants t

shutvik [7]

ciro needs 3 cups of flour johanna needs 20 x 15 cups

3 0

2 years ago

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