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Pepsi [2]
3 years ago
7

If ΔMTV is reflected across the y-axis, what are the resulting coordinates of point M? A) (-2, 5) B) (-5, 2) C) (5, -2) D) (-2,

-5)
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer:

the answer for your question is b

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
PLEASE HELP Provide 3 examples of how Franklin Delano Roosevelt changed the course of history 5-8 sentences PLEASE SOMEONE WHO W
Vesna [10]
Well, there are a lot of ways in which President Roosevelt impacted the US. He brought a nation to the brink of disaster from the Great depression and helped overcome it with his New deal which gave a lot of people jobs and helped rebuild America because of the CCC, among other programs in the New Deal. He also guided America through World War 2 and created peace between nations by signing the Atlantic Charter which then was the basis for the United Nations. As you can see President Roosevelt did alot to help America, he was a very good president



8 0
3 years ago
Pls help i will mark brainlyest
Sergeeva-Olga [200]

Answer:

∠b=82°

Step-by-step explanation:

143°=∠c+∠b (exterior angle property)

143°=61°+∠b

∠b=143-61

∠b=82°

4 0
2 years ago
Help please!!! Solve 49^ x = 7
Maru [420]

The variable <em>x </em>is equal to 0.5

7 0
3 years ago
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Steel prices were $4.30 per foot and increased 10%. What is the new price ?
Artist 52 [7]
The new price is 4.73
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