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rodikova [14]
3 years ago
15

What is the y-intercept of the line with the equation y = 4 x + 2? a. -2 b. 4 c. 2 d. Negative one-half

Mathematics
2 answers:
maxonik [38]3 years ago
7 0
The y intercept is 2
AysviL [449]3 years ago
6 0

Answer:

the correct answer is c

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2/3y=-3x-9 pleaseeeeeeeeee
charle [14.2K]
The slope is -4.500
Hope this helped :)
3 0
3 years ago
Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7
bearhunter [10]

Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

4 0
3 years ago
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
The sum of the squares of two consecutive even integers is 884. determine the integers.
Digiron [165]

Answer:

(2x+1)(1) = 84. 2x+1= 84. 2x = 83.

Step-by-step explanation:

5 0
2 years ago
1/2(x + 5)2 + 2 = 42.5
Monica [59]

Answer:

x=35.5

Step-by-step explanation:

reduce numbers

remove parentheses

add the numbers

move constant to the right

subtract numbers

7 0
3 years ago
Read 2 more answers
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