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2 years ago

How would you solve this equation when -14-7=-7?

Mathematics

1 answer:

uysha [10]2 years ago

8 0

Answer:

r = -8/5

Step-by-step explanation:

-7 log4 (-10r) = -14

Divide each side by -7

-7/-7 log4 (-10r) = -14/-7

log4 (-10r) = 2

Raise each side to the base of 4

4^ log4 (-10r) = 4^2

-10r = 16

Divide each side by -10

-10r/-10 = 16/-10

r = -116/10

r = -8/5

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AlexFokin [52]

Answer:

$\large\boxed{PS=10\sqrt5}$

Step-by-step explanation:

ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

$\dfrac{QR}{RP}=\dfrac{RP}{RS}$

We have:

$QR=5,\ RS=20$

Substitute:

$\dfrac{5}{RP}=\dfrc{RP}{20}$ cross multiply

$RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10$

Use the Pythagorean theorem:

$PS^2=PR^2+RS^2$

Substitute:

$PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5$

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2 years ago

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2 years ago

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Find the measure of CDE

Free_Kalibri [48]

Step-by-step explanation:

Here,

CDE+27+103+50+35=360(BEING THE SUM OF PIE CHART

CDE+215=360

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5 0

2 years ago

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Determine the measure of angle A, to the nearest degree.

Effectus [21]

Answer:

(a) 17°

(b) 78°

Step-by-step explanation:

(a) sin A= 0.2896

to calculate for "A" check for sin inverse of 0.2896

A= sin^-1(0.2896) = 16.83

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(b) tan A = 4.7046

A= tan^-1(4.7046)

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nekit [7.7K]

Answer:

$\boxed{-9x^3-18x^2 + 15x}$

Step-by-step explanation:

(3x²+6x-5)(-3x)

Apply distributive law.

-3x(3x²)-3x(6x)-3x(-5)

Simplify.

-9x³ - 18x² + 15x

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2 years ago

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