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Kisachek [45]
3 years ago
8

5 STARS AND 20 POINTS PLEASE HELP ASAP

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

k=3

Step-by-step explanation:

Given

g(x) = mx + b

f(x) = (mx + b) + k,

both graphs have the same slope m,

the equation y = mx + b; where b is where the line crosses the y-axis

for g(x) the line crosses at b = 1

for f(x) the line crosses at b = 4

solve for k; k = 4-1 = 3

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in triangle PQR the measure of angle R=90, QP=73, RQ=55, and PR=48. what is the value of the sine of angle P to the nearest Hund
alexandr402 [8]

Answer:

P ≈ 48.89°(nearest hundredth)

Step-by-step explanation:

The triangle PQR forms a right angle triangle since angle R is 90°. The triangle has an hypotenuse , adjacent and opposite side.

Using the SOHCAHTOA principle one can find the sine ratio of angle P. Let us designate where each side represent.

opposite side(QR) = 55

adjacent side(PR) = 48

hypotenuse(PQ) = 73

sin P = opposite/hypotenuse

sin P = 55/73

P = sin⁻¹ 55/73

P = sin⁻¹ 0.75342465753

P = 48.8879095605

P ≈ 48.89°(nearest hundredth)

5 0
3 years ago
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Scilla [17]
The slope-intercept form is:
y = mx + b
where m = slope, and b = y-intercept.
You need a slope of 1, so m = 1.
You need a y-intercept of -1, so b = -1.
Replace m with 1 and b with -1 in the slope intercept form to get

y = 1x + (-1)

which simplifies to

y = x - 1
3 0
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The answer is a.......
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3 years ago
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3 years ago
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