2 years ago

How many solutions does the equation x^2-9x=-8 have?

1 answer:

8 0

X^2-9x=-8
x^2-9x+8=-8+8
x^2-9x+8=0
(x-8)(x-1)=0

x-8=0
x-8+8=0+8
x=8

x-1=0
x-1+1=0+1
x=1

There are 2 solutions, which are 1 and 8

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3 − m = −2 (m + 6); m = −15 Yes or No

Nimfa-mama [501]

Answer:

3 − m = −2 (m + 6); m = −15 Yes

5 (p + 3) = −35; p = −4 No

8q = 3 (10 + q); q = 6 Yes

Step-by-step explanation:

3 − m = −2 (m + 6)

3 - m = -2m - 12

m = -15

Answer is Yes

5 (p + 3) = −35

5p + 15 = -35

5p = - 50

p = -10

Answer is No

8q = 3 (10 + q)

8q = 30 + 3q

5q = 30

q = 6

Answer is Yes

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melisa1 [442]

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A boy who is flying a kite lets out 300 feet of string which makes an angle of 60o with the ground. Assuming that the string is

Aleks [24]

<h3>Answer :</h3>

See the attachment for better understanding.

Given : Length of string (AC) = 300ft

To Find : Height of the kite from ground (AB)

$:\implies\sf\:sin60^{\circ}=\dfrac{AB}{AC}$

$:\implies\sf\:\dfrac{\sqrt{3}}{2}=\dfrac{H}{300}$

$:\implies\sf\:H=\dfrac{300\sqrt{3}}{2}$

$:\implies\sf\:H=150\sqrt{3}$

$:\implies\:\boxed{\bf{\red{H\approx 260\:feet}}}$

Hope it helps !

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1.There are 3 High Schools and 14 Elementary Schools in the district. How can you write the ratio of High Schools to Elementary

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1. 3 high schools: 14 elementary schools

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What is the direct variation equation if y varies directly with x and y = -12 when x = 6?

Reika [66]

It would be A because -2 times +6 equals -12

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2 years ago