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True [87]
3 years ago
14

The first three steps of completing the square to solve the quadratic equation x^2+4x-6=0 are shown below.

Mathematics
1 answer:
ad-work [718]3 years ago
5 0
Take the sqrt of both sides of <span>(x+2)^2=10:

x+2 = plus or minus sqrt(10)

Solve for x:  x = -2 plus or minus sqrt(10)

Evaluate x:  x = -2 + sqrt(10)  AND  x = -2 - sqrt(10)       (answers)

</span>
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1. Given ΔQRS (is congruent to) ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV. Provide a detailed response bel
Morgarella [4.7K]
Because ΔQRS is congruent to <span>ΔTUV, the the segments GS and TV are also congruent due to the letter order (Q and T are first and S and V are 3rd.) Since they are congruent QS=TV. So 3v + 2 = 7v - 6
</span><span>
</span><span>Work: 
</span>3v + 2 = 7v - 6
      +6          +6
3v + 8=7v
-3v       -3v
<u>8</u> = <span><u>4v</u>
</span>4      4
2 = v

3(2) + 2 = GS
6+2 = GS
8 = GS

7(2) - 6 = TV
14-6=TV
8 = TV

Final Answer: 8=QS and 8=TV

 
3 0
3 years ago
Read 2 more answers
14. Explain why triangle ABC is similar to triangle ADE. (Hint: rays of light are parallel.)
dedylja [7]

Answer:

They are similar because both triangles are the same. Triangle ABC is just smaller than triangle ADE.

4 0
2 years ago
A. x=17<br>b. x=13<br>c. x=119<br>d. x=169​
seropon [69]

Answer:

the answer is: x=13

Step-by-step explanation:

We get the answer using Pitagoras.

5^2+12^2=x^2

so

x=\sqrt{5^2+12^2}=\sqrt{25+144}=\sqrt{169}=13

6 0
2 years ago
Read 2 more answers
It's just reflections please help​
Vadim26 [7]

Answer:

C. P'(-4,-7), Q'(-8,-7), R'(-3,3).

Step-by-step explanation:

When a shape is reflected over a line y=x, the values in the coordinates are just swapped.

P(-7,-4) becomes P'(-4,-7)

Q(-7,-8) becomes Q'(-8,-7)

R(3,-3) becomes R'(-3,3)

The answer is P'(-4,-7), Q'(-8,-7), R'(-3,3).

6 0
2 years ago
X - 9 = 6 <br><br> The solution to x =
Ivenika [448]

Answer:

x=15

Step-by-step explanation:

15-9=6

8 0
3 years ago
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