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Hunter-Best [27]
3 years ago
14

What is length of segment QR? (Show all work)

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

x=15\ units

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side

so

In this problem

Applying the Midpoint theorem we have that

x=\frac{30}{2}=15\ units

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A line with a slope of 8 passes through the points (-1,1) and (0,k). What is the value of k?
Diano4ka-milaya [45]

Answer:

k = 9

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 8

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, k)

m = \frac{k-1}{0+1} = k - 1 = 8 ( add 1 to both sides )

k = 9

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2 years ago
Harrison gets paid $22 per hour working at Izzy’s Ice Cream. If he works 40 hours per week and pays $145 per week in taxes, what
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He makes $735.

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2 years ago
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Mr lance designed a class banner shaped like a the polygon shown. What is the name of the polygon?
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2 years ago
The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
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3 years ago
If you decided to build a ramp using the 1:16 slope - ratio requirement , what would be the length of the diagonal portion of th
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I spent a lil time on it but I’ll let you know in a lil but if I have the answer:)
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