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3 years ago

Write an equation in slope-intercept form using the given points (19,-16), (-7,-15)

Mathematics

1 answer:

KonstantinChe [14]3 years ago

3 0

Answer:

y = 0.3x − 12.6

Step-by-step explanation:

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2 years ago

Lexi rode her bicycle 3 1/4 miles from her house to the park. Then she rode 1 mile from the park to the library. How many miles

antiseptic1488 [7]

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Step-by-step explanation:

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2 years ago

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artcher [175]

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Step-by-step explanation:

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3 years ago

Factor. 21x^2 -32x+12

baherus [9]

Through trial and error:
(7x-6)(3x-2)

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3 years ago

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

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3 years ago