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3 years ago

In point slope form: passes through (1, -3), slope = -1?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

5 0

Answer:

y + 3 = -1(x-1)

Step-by-step explanation:

sub (1, -3) and slope = -1:

y - (-3) = -1(x - 1)

Topic: Coordinate Geometry

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Solve by elimination 5x-14y=22 -6x+7y=3

Airida [17]

5x - 14y = 22 ⇒ 5x - 14y = 22
-6x + 7y = 3 ⇒ 12x - 14y = -6
 -7x = 28
 -7 -7
 x = -4
 5x - 14y = 22
 5(-4) - 14y = 22
 -20 - 14y = 22
 + 20 + 20
 -14y = 42
 -14 -14
 y = -3
 (x, y) = (-4, -3)

3 0

3 years ago

In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and FG = 30 feet. Find the measure of ∠F to the nearest degree.

Mamont248 [21]

Answer:

∠F = 42° to the nearest degree

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle.

Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle

Please check attachment for the diagrammatic representation of the triangle

From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine

mathematically;

Cosine of an angle = length of adjacent/length of hypotenuse

$Cos F = \frac{30}{38}\\Cos F = 0.7895\\F = Cos^{-1} 0.7895\\$

F = 42.07

∠F = 42° to the nearest degree

4 0

3 years ago

Read 2 more answers

8 less then a number n is -13

Oliga [24]

Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

3 0

3 years ago

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of

saveliy_v [14]

Answer:

l = w + 3cm

l = w + 3cmp = 2l + 2w = 58cm

l = w + 3cmp = 2l + 2w = 58cm 

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cm

l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cmStep-by-step explanation:

I hope this helps you.

5 0

3 years ago

Rate of change from the line

Ghella [55]

$\textbf{Answer:}$