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4 years ago

Solve for x in the equation x^2+10x+12=36.

1 answer:

3 0

Solve for x:
x^2 + 10 x + 12 = 36

36 = 36:
x^2 + 10 x + 12 = 36

Subtract 12 from both sides:
x^2 + 10 x = 24

Add 25 to both sides:
x^2 + 10 x + 25 = 49

Write the left hand side as a square:
(x + 5)^2 = 49

Take the square root of both sides:
x + 5 = 7 or x + 5 = -7

Subtract 5 from both sides:
x = 2 or x + 5 = -7

Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.

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Tina starts her paper route at the corner of two streets. She travels 8 blocks south, 13 blocks west, 8 blocks north, and 6 bloc

suter [353]

If the starting point is (0,0), then she goes to (0, -8), then to (-13, -8), then to (-13, 0), then to (-7, 0). (-7, 0) is 7 units from the starting point. So, 7 blocks.

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3 years ago

draw the line which will represent the graph of the equation y-2.5x=c if it's known it passes through the point K(2, -3)

Oksi-84 [34.3K]

The line will represent the graph of the equation y=2.5x-8.

The two points necessary to graph would be (2,-3) and (0,-8).

<h3>What is the slope-intercept form?</h3>

The slope-intercept form is y=mx+c

If the line passes through (2,-3),

let us plugin and find c.

So we get,

$-3-2.5(2)=c$

$-3-5=c$

$c=-8$

So, The equation of the line is y=2.5x-8.

To learn more about the equation visit:

brainly.com/question/2972832

8 0

2 years ago

Read 2 more answers

Help will mark brainlist if it correct If each edge of a cube is increased by 2 inches, the

Anastasy [175]

Answer:

D. sum of these edges is increased by 24 inches -- True

Step-by-step explanation:

Given a cube and its edge is increased by 2 inches.

To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.

Solution:

Let the side of original cube = a inches.

Formula for volume of cube:

$V =side^3 = a^3$

If the side is increased by 2 inches, the side becomes (a+2) inches.

So, new volume, $V' = (a+2)^3$

Using the formula:

$(x+y)^3 =x^3+y^3+3xy(x+y)$

$V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)$

So, $V' = V + 8+6a(a+2)$

Volume increased by 8+6a(a+2) [which is not equal to 8]

So, statement is false:

A. volume is increased by 8 cubic inches -- False

Each face in a cube is a square.

Area of each face, A = $side^2 = a^2$

New area, A' = $(a+2)^2$

Using the formula: $(x+y)^2 =x^2+y^2+2xy$

$A' = a^2+4+4a$

Area increased by 4+4a [which is not equal to 4 sq inches]

B. area of each face is increased by 4 square inches -- False

Diagonal of each face = $a\sqrt2$

Increase of 2 in the edge:

New diagonal = $(a+2)\sqrt2 = a\sqrt2+2\sqrt2$

So, increase of $2\sqrt2$ not 2.

C. diagonals of each face is increased by 2 inches -- False

There are 12 number of edges in a square.

So sum of all 12 edges = 12a

When edge is increased by 2, sum of all edges = 12(a+2) = 12a + <em>24</em>

An increase of 24.

D. sum of these edges is increased by 24 inches -- True

4 0

3 years ago

The statement AB = AB is an example of the ____ property

gladu [14]

<span>The statement AB = AB is an example of the Transitive property
</span>

8 0

4 years ago

A circle has a diameter of 15 centimeters and a central angle EOG that measures 210°. What is the area of sector EOG? Use 3.14 f

docker41 [41]

Area of the whole circle = 3.14 * 7.5^2

area of the sector = (3.14 * 7.5^2 * 210) / 360
= 103 cn^2 to nearest whole number

8 0

3 years ago