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luda_lava [24]
2 years ago
10

What is the slope of the line that passes through the points (-3,-9) and (22,-4)

Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer: 1/5

Step-by-step explanation:

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Rewrite each expression more simply: 3y + 8y
ELEN [110]
Since they both have the same variable(y) you can add them together like a regular math problem. So:
3y+8y=11y
So your final answer would be 11y.
6 0
3 years ago
To the nearest tenth of a degree, find the sizes of the acute angles in the 5-12-13 triangle and in the 9-12-15 triangle. This e
Paha777 [63]

Answer:

Step-by-step explanation:

A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that

Hypotenuse² = opposite side² + adjacent side²

If hypotenuse = 13,

Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio

Sin θ = opposite side/adjacent side

Sin θ = 12/13 = 0.923

θ = Sin^-1(0.923) = 67.4°

The other acute angle is

90 - 67.4 = 22.6°

For 9-12-15 triangle

Sin θ = 12/15 = 0.8

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

For 13- 14-15 triangle,

Sin θ = 14/15 = 0.933

θ = Sin^-1(0.933) = 68.9°

The other acute angle is

90 - 68.9 = 21.1°

Another example would be 3-4-5

Sin θ = 4/5 = 0.933

θ = Sin^-1(0.8) = 53.1°

The other acute angle is

90 - 53.1 = 36.9°

3 0
3 years ago
1. If 3X + Y =P and X+Y=Q, what is X in terms of P and Q?
ch4aika [34]

'is' means =

so

X =

so

3X + Y = P

3X = P - Y

X = (P - Y) ÷ 3

5 0
3 years ago
Complete the point-slope equation of the line through (1, 3) and (5, 1). Use exact numbers.​
SpyIntel [72]

Answer:

The \ equation \ in \ point \ and \ slope \ form \ is; \ y - 3 = -\dfrac{1}{2} \cdot (x - 1)

Step-by-step explanation:

The coordinates of the points through which the line passes are (1, 3) and (5, 1)

The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

The slope of the given line is therefore m =\dfrac{1-3}{5-1} = \dfrac{-2}{4} = -\dfrac{1}{2}

The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)

Therefore, by substituting the known values, we have the equation in point and slope form as follows;

y - 3 = -\dfrac{1}{2} \cdot (x - 1)

7 0
3 years ago
Which scale would produce the largest scale drawing of an object when compared to the actual object?
STatiana [176]

Covert the ratios so they are all the same measurement type.

A. 5 feet = 5 x 12 = 60 inches.

The scale becomes 1:60

B. 1:30

C. 12 yards = 12 x 3 = 36 feet x 12 = 432 inches.

The scale is 12:432  = 1:36

D. 1 meter = 39.37 inches.

1 inch = 2.54 cm

39.37 x 2.54 = 99.99 inches

The scale converted to inches becomes 1 :100 inches.

The first number would be the size of the drawing, the second number is the size of the actual object

If you use all 4 scale factors for a real object that is 100 inches:

A would need 100/60 = 1.67 inches.

B would need 100/30 = 3.3 inches.

C would need 100/36 = 2.78 inches.

D would need 100/100 = 1 inch.

The larger scaled drawing would be B.

7 0
3 years ago
Read 2 more answers
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