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2 years ago

For the straight line defined by the points (3, 59) and (5, 87), determine the slope and y-intercept. do not round the answers.

1 answer:

4 0

(3,59)(5,87)
slope = (87 - 59) / (5 - 3) = 28/2 = 14 <== ur slope

y = mx + b
slope(m) = 14
use either of ur points...(3,59)...x = 3 and y = 59
now we sub and find b, the y int
59 = 14(3) + b
59 = 42 + b
59 - 42 = b
17 = b <=== ur y int (0,17)

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A line parallel to the line 3x+4y+8=0 with y-intercept 4

Vitek1552 [10]

3x + 4y + 8 = 0
4y = -3x - 8
y = -3/4x - 2....slope here is -3/4. A parallel line will have the same slope.

y = mx + b
slope(m) = -3/4
y int (b) = 4

so ur equation is : y = -3/4x + 4

6 0

3 years ago

Read 2 more answers

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mojhsa [17]

Answer:

13.7142857143

Step-by-step explanation:

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2 years ago

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Tresset [83]

Answer:

2.56

Step-by-step explanation:

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So you just have to replace t with 0.4:

d = 16t^2

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2 years ago

Find the exact values of sin2 θ for cos θ = 3/18 on the interval 0° ≤ θ ≤ 90°

mote1985 [20]

Answer:

$sin(2\theta)=\frac{\sqrt{35} }{18}$

Step-by-step explanation:

Recall the formula for the sine of the double angle:

$sin(2\theta)=2*sin(\theta)*cos(\theta)$

we know that $cos(\theta)=\frac{3}{18}$ , and that $\theta$ is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what $sin(\theta)$ is:

$cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }$

With this information, we can now complete the value of the sine of the double angle requested:

$sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}$

6 0

2 years ago

ANSWER ASAP 30 POINTS!

Slav-nsk [51]

So take 13, 8 and 4 and add those together to get the budget she needs for the month.
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3 years ago