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erma4kov [3.2K]
2 years ago
14

Helpppp pls. Rotate traingle TUV 90 degrees clockwise around the origin

Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0
T -1,-1 ect ect hope helps
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3 years ago
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
Find the Z scores that separate the middle 27% of the distribution from the area in the tails of the standard normal distributio
vekshin1
Z- score is a statistical tool that is used to determine the probability of finding a number or a value under a normal distribution plot. A normal distribution assumes that the mean is equal to zero and that the standard deviation is equal to 1. Using the z-score table, we can find the probability either on the right side or the left side. Using the table hence, we find the probability to the left of the value. The probability that is equivalent to the unknown z should be equal to 0.5 + (0.27/2) = 0.635. 0.5 comes from the assumption that the area under the curve on each side is 50% of the total. The equivalent z score is equal to z = 0.345. 
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3 years ago
Taylor wants to paint his rectangular deck that is 31 feet long and 27 feet wide. A gallon of paint covers about 350 square feet
liq [111]

Answer:

2.39

Step-by-step explanation:

31*27 = 837 divided by 350= 2.39142857143 round

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What is the solution to the system of equations? y= -5x + 3 y=1​
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> y(1) = -5x + 3
-3. -3

> -2 = -5x
÷-5. ÷-5

= 0.4 = x
8 0
3 years ago
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