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3 years ago

Write the equation of the line from the graph.

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Answer: x=-5

Step-by-step explanation:

Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer

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Find the x in PQR, please

skad [1K]

Answer:

Answer is A

Step-by-step explanation:

Use the the pythagorean theorem

x=√12²+5²

x=13

4 0

3 years ago

Read 2 more answers

3^3x+1= 81<br> Solve the exponential function

Reil [10]

Answer:

x=1

Step-by-step explanation:

3^ (3x+1) = 81

Rewrite 81 as a power of 3

3^4

3^ (3x+1) = 3^4

Since the bases are the same, the powers are the same

3x+1 =4

Subtract 1 from each side

3x+1-1 =4-1

3x=3

Divide by 3

3x/3 = 3/3

x =1

8 0

3 years ago

Find an exact value.

Westkost [7]

Answer:

$\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}$ .

Step-by-step explanation:

Convert the angle $\displaystyle \left(-\frac{7\, \pi}{12}\right)$ to degrees:

$\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ$ .

Note, that $\left(-105^\circ\right)$ is the sum of two common angles: $\left(-45^\circ\right)$ and $\left(-60^\circ\right)$ .

$\displaystyle \cos\left(-45^\circ\right) = \cos\left(45^\circ\right) = \frac{\sqrt{2}}{2}$ .
$\displaystyle \cos\left(-60^\circ\right) = \cos\left(60^\circ\right) = \frac{1}{2}$ .

$\displaystyle \sin\left(-45^\circ\right) = -\sin\left(45^\circ\right) = -\frac{\sqrt{2}}{2}$ .
$\displaystyle \sin\left(-60^\circ\right) = -\sin\left(60^\circ\right) = -\frac{\sqrt{3}}{2}$ .

By the sum-angle identity of cosine:

$\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B)$ .

Apply the sum formula for cosine to find the exact value of $\cos\left(-105^\circ \right)$ .

$\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}$ .

$\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ$ . In other words, $\displaystyle \left(-\frac{7\, \pi}{12}\right)$ and $\left(-105^\circ\right)$ correspond to the same angle. Therefore, the cosine of $\displaystyle \left(-\frac{7\, \pi}{12}\right)\!$ would be equal to the cosine of $\left(-105^\circ\right)\!$ .

$\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}$ .

3 0

3 years ago

-6 to the power of 2 +5×(-6)-4=-70 right

Anna35 [415]

Answer:

Step-by-step explanation:

(-6)^2 +5*-6 -4

Power first

36 -30 -4

6-4

3 0

3 years ago

Write a mixed number that is equivalent to 16 over three

zzz [600]

Step-by-step explanation:

Set up the division problem in long division format.

Divide 16 by 3

. Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (5) by the divisor

Subtract 15 from 16

The result of division of 163 is 5 with a remainder of 1

Use the long division solution to convert the original fraction (163)
to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction (5), and the fraction portion of the mixed number will be the remainder of the original fraction division (1) over the denominator of the original fraction (3)

513

answer: 5 and one third

5 0

3 years ago

Write the equation of the line from the graph.​

Write the equation of the line from the graph.