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3 years ago

What are the solutions to x2 + 8x + 7 = 0

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

8 0

$x^{2} +8x+7=0$
Product=7
sum=8
$x^{2} +x+7x+7=0$
x(x+1)+7(x+1)=0
(x+7)(x+1)=0
x=-7, -1

3241004551 [841]3 years ago

6 0

X^2 + 8x + 7 = 0
x^2 + 7x + x + 7 = 0
x(x + 7) + 1(x + 7) = 0
(x + 7) (x + 1) = 0

x = -7 or x = -1

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How do I do this again ?

AVprozaik [17]

The formula for the area of a trapezoid is a=1/2(b1+b2)h

So 10*5 = 50 *4 = 200 then divided by 2 is 100 so the answer is 100

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3 years ago

Can anyone help me with this <br><br> All of them

Svetllana [295]

Answer:

Hence x = 60 and y = 50

e = 85 degrees

f = 158 degrees

Step-by-step explanation:

1) The sum of the interiror angle of the triangle is equal to the exterior

Given

Interior angles = y and 70

Exterior angle = 120 degrees

According to the law;

y + 70 = 120

y = 120-70

y = 50°

Sum of angle in the triangle is 180

x + y + 70 = 180

x + 50 + 70 = 180

x + 120 = 180

x = 180-120

x = 60

Hence x = 60 and y = 50

2) The sum of angles on a straight line is 180 degrees

40 + 55 + e = 180

95 + e = 180

e = 180 - 95

x = 85 degrees

3) Sum of angle at a point is 360 degrees

Hence 130 + 36.8 + 35.2 + f= 360

130 + 72 + f = 360

202 + f = 360

f = 360 - 202

f = 158 degrees

4 0

3 years ago

Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked

ryzh [129]

Answer:

Option (2) is the answer.

Step-by-step explanation:

From the figure attached,

AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.

Here AB = d = 6 feet

CD = w = 32 feet

BC = f = 9 feet

Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.

$\frac{AB}{DE}=\frac{BC}{CD}$

$\frac{6}{h}=\frac{9}{32}$

h = $\frac{6\times 32}{9}$

h = 21.33 feet

h ≈ 21.3 feet

Therefore, height of the light post is 21.3 feet.

Option (2) is the answer.

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3 years ago

Which graph is defined by f(x) = |x2 − x − 2|?

Paha777 [63]

It should look like a parabola with the part below x-axis cut off. the left side starts from x=-1, opening upward & to the left, the right side starts from x=2, opening upward and to the right.

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3 years ago

The size of the largest angle in a triangle is 3 times the size of the smallest angle.

tamaranim1 [39]

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

The size of the largest angle in a triangle is 3 times the size of the smallest angle
The third angle is 10° more than the smallest angle
The size of the third angle is x

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

You can learn more about the triangles in brainly.com/question/1479138

#LearnwithBrainly

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3 years ago