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3 years ago

what is the equation in standard form of the line that passes through the point (4,-8) and has a slope of 1/4

1 answer:

6 0

Y = mx + b
slope(m) = 1/4
(4,-8)....x = 4 and y = -8
now sub and find b, the y int
-8 = 1/4(4) + b
-8 = 1 + b
-8 - 1 = b
-9 = b
so ur equation is : y = 1/4x - 9....but we need it in standard form

y = 1/4x - 9
-1/4x + y = -9...multiply everything by -4
x - 4y = 36 <====

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If cos A = 1/2, then what is the positive value of cos 1/2 A, in simplest radical form with a rational denominator?

stepan [7]

Answer:

$\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}$

Step-by-step explanation:

Given

$\cos A = \frac{1}{2}$

Required

Determine $\cos(\frac{1}{2}A)$

To do this, we make use of the following identity

$\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}$

Substitute: $\cos A = \frac{1}{2}$

$\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}$

Solve the numerator

$\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}$

$\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}$

Rewrite as:

$\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}$

$\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}$

Take square roots

$\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}$

3 0

3 years ago

Solve the inequality 1/4m≤−17 .

Anuta_ua [19.1K]

Answer:

$M\leq -68$

Step-by-step explanation:

This inequality is quite simple to solve.

Just multiply both sides by four and you have your answer:

$4*(1/4m)\leq4*-17$

$m\leq -68$

Hope this helps!

8 0

2 years ago

The green family went out for dinner at their favorite restaurant. the cost of their food came to $52.00. they must also pay 6%

riadik2000 [5.3K]

$52 × .06 = 3.12
52 + 3.12 = 55.12
55.12 × 0.15 = 8.27
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3 years ago

Which of these tables represents a function?

Ganezh [65]

The first one :)

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2 years ago

In a class 26 of students, 17 have a brother and 7 have a sister. There are 4 students who do not have any siblings. What is the

Anni [7]

Number of students = 26
Number of students without siblings = 4
⇒ Number of students with at least one siblings = 26 - 4 = 22

Number of students with brothers = 17
Number of students with sisters = 7
⇒ Number of students with both a brother and a sister = 17 + 7 - 22 = 2

P(student has a brother, given that they have a sister) = 2/7

Answer: 2/7

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3 years ago