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saveliy_v [14]
3 years ago
13

Find the slope of the line that contains the points (-9, 4) and (-7, -2).

Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

Answer:

-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-4)/(-7-(-9))

m=-6/(-7+9)

m=-6/2

m=-3

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If
likoan [24]

It's easy to show that 7\tan(4x) is strictly increasing on x\in\left[0,\frac\pi8\right]. This means

M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3

and

m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7

Then the integral is bounded by

\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)

\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}

7 0
2 years ago
Please solve this and give answer
Nikolay [14]

Answer:

Step-by-step explanation:

4 0
3 years ago
Joel has a bag with 128 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Joel give his
Charra [1.4K]

Answer:

Joel  \:  \: gave \:  \:  his \:  \:  sister \:  \:  32  \:  \: pieces\:  \: of \:  \:  candy

Step-by-step explanation:

\frac{x}{128}  =  \frac{25}{100}

(x)100 = (25)128

(x)100 = 3200

\frac{(x)100}{100}  =  \frac{3200}{100}

x =  \frac{3200}{100}

x = 32

Joel  \:  \: gave \:  \:  his \:  \:  sister \:  \:  32 \:  \: pieces  \:  \: of \:  \:  candy

3 0
3 years ago
Does the system shown always, sometimes, or never have a solution when a > b?
AysviL [449]

Answer:

always have a solution

Step-by-step explanation:

A linear equation in standard form is given by:

Ax + By = C, where A,B, C are real numbers and A,B is not equal to zero.

Two linear equations with equations Ax + By = C and Dx + Ey = F

Therefore the first equation becomes: (A/B)x + y = C/B and the second equation becomes (D/E)x + y = F/E ]

Both equations are said have a solution if A/B ≠ D/E, they have no solution if A/B = D/E and they have infinite solutions if A/B = D/E, C/B = F/E.

Given that:

when a > b

ax + y = 8

bx + y = 5

Since a ≠ b, but a > b, the system has a solution

8 0
3 years ago
What decimal is equivalent to StartFraction 8 over 100 EndFraction
makkiz [27]

Answer:

8/100 is equivalent to 0.08

5 0
3 years ago
Read 2 more answers
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