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Keith_Richards [23]
2 years ago
15

Find the values of a and b so that the solution of the linear system is (-9,1).

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
6 0

Answer:

Step-by-step explanation:

we can write -9 instead of x and y=1 instead of 1

so we write solution again

-9a+1b=-31

-9a-1b=-41

-18a=-72

a=4

we should write 4 instead of a

-9(4)+1b=-31

-36+b=-31

b=5

a=4

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Segments DF, DH, and GF are tangent to the circle. Andrew was asked to find DF. Explain andrew's error.
ANEK [815]

Answer:

DF = 14

Step-by-step explanation:

Andrew was wrong in the assumption that DE = EF

Segments of tangents to a circle from the same external point are congruent

That is

EF = FG = 8

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5 0
3 years ago
Simplify the given expression. (p+6)(p-4)
vampirchik [111]

Answer:p2+2p−24

Step-by-step explanation:(p+6)(p−4)

=(p+6)(p+−4)

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8 0
3 years ago
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A line passes through the points (-1,-1) and (5,8) which points lie on the same line?
djverab [1.8K]

Answer: all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2}

Step-by-step explanation:

The slope of the line is

\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}

So, substituting into point-slope form, the equation is

y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}

Therefore, all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2} will lie on the same line.

7 0
2 years ago
Which of the following statements is true
Tresset [83]
Hello There!

The first statement is incorrect as congruent angles have the same measure but it doesn't have to 45°. It can be any value.
The second one is also incorrect. Congruent angles have the same measure but don't always total to 180° (which is what supplementary means). It would only be true if they are congruent right angles.
The third one is also incorrect as they don't always total to 90° either (Which is what complementary means). 
The fourth one is correct, this is because congruent angles are simply angles with the same measure.

In short, you're answer is 4. Congruent angles always have the same measure. 


Hope This Helps You!
Good Luck :) 
6 0
3 years ago
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