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2 years ago

What is an equation of the line that passes through the point (-2,-8) and has a slope of 3?

Mathematics

1 answer:

Rudiy272 years ago

7 0

Answer:

y = 3x -2

Step-by-step explanation:

General equation of a line in the slope intercept form is

y = mx + b ,

where m is the slope and b is the y-intercept ( where intercepts the y-axis)

y = 3x + b ,

because is given slope is m = 3

For point (x = -2, y = -8) we have

-8 = 3 (-2) + b

-8 = -6 + b

-8 + 6 = b

-2 = b

The equation of the line that passes through the point (-2,-8) and has a slope of 3 is

y = 3x -2

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

Tems11 [23]

Answer:

The area of the triangle is $\sqrt{3}$

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is = $\frac{1}{2}(base \times height)$

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE = $\sqrt{(0-1)^2 + (0-1)^2}$

DE = $\sqrt{(-1) ^2 + (-1)^2$

DE = $\sqrt{1+1}$

DE = $\sqrt{2}$

Base = $\sqrt{2}$

Height is DF

DF = $tan(60^{\circ}) \times DE$

DF = $\sqrt{3} \times DE$

DF = $\sqrt{3} \times\sqrt{2}$

Now, the area of the triangle is

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

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

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

= $\sqrt{3}$

6 0

3 years ago

Evaluate 8 + 3e when e = 2. Need the Answer

alexandr402 [8]

Answer:

The answer is 14

Step-by-step explanation:

e=2

Substitute 2 in for e

8 + 3(2)

Solve

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3 years ago

What is the value of 2 thirds + 3 fourths

inn [45]

Step-by-step explanation:

⅔ + ¾

→ make the denominator equal of both the fraction

= 2/3 × 4/4 = 8/12

= 3/4 × 3/3 = 9/12

hence,

8/12 + 9/12

= 8 + 9/12 = 17/12

$\frac{17}{12} or \: 1 \frac{5}{12}$

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3 years ago

Find the surface area of the triangular prism. The base of the prism is an isosceles triangle. 25 points!!!!!

MissTica

I believe that this is the right answer 7056 cm 3

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3 years ago

1×+3=4×-6 need help finding this out

sladkih [1.3K]

Answer:

x = 3

Step-by-step explanation:

x + 3 = 4x - 6

add 6 to both sides

x + 9 = 4x

subtract x from both sides

9 = 3x

divide 3 from both sides

x = 3

3 0

3 years ago

Read 2 more answers