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3 years ago

Find the y intercept. I already found the slope is 9.

Mathematics

1 answer:

jeka57 [31]3 years ago

8 0

The slope-intercept form: y = mx + b

We have the slope m = 9, therefore: y = 9x + b.

Next. We have the table:

x | -5 | -2 | 1 | 3 | 4 |

y |-46|-19| 8 |26|35|

(1, 8) → x = 1, y = 8

substitute the values of x and y to the equation:

8 = 9(1) + b

8 = 9 + b |-9

b = -1

Answer: y = 9x - 1 → y-intercept is -1.

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Cuboid ABCDEFGH is shown

gtnhenbr [62]

Answer:

The angle formed between CF and the plane ABCD is approximately 47.14°

Step-by-step explanation:

The given parameters are;

BC = 6.8

DE = 9.3

∠BAC = 52°

We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;

sin∠BAC = BC/(The length of a line drawn from A to C)

∴ The length of the line drawn from A to C = BC/sin∠BAC

The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63

∴ AC = 8.63

By trigonometry, we have;

The angle formed between CF and the plane ABCD = Angle ∠ACF

$tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}$

$tan\angle ACF = \dfrac{FA}{AC}$

In a cuboid, FA = BG = CH = DE = 9.3

$\therefore tan\angle ACF = \dfrac{9.3}{8.63}$

$\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}$

The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°

4 0

3 years ago

Plssss help!!<br><br> find the area of the regular polygon

Pavel [41]

Answer:

wiat ill work this out for you

Step-by-step explanation:

7 0

2 years ago

Points C,D,E and G are ___ points

Firlakuza [10]

C, D, E, and G are FOUR points.

3 0

3 years ago

Find the area of the figure

fiasKO [112]

Step-by-step explanation:

there is one central rectangle :

from (-4, 2) to (2, -2).

that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).

and then there are 3 additional triangles

(2, -4) (2, 2) (6, 2)

(-4, -2) (2, -2) (2, -4)

(-6, 2) (-4, 2) (-4, -2)

with the leg lengths

(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4

(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2

(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4

the area of the rectangle is

6×4 = 24 square units

the area of the first triangle is

6×4/2 = 3×4 = 12 square units

the area of the second triangle is

6×2/2 = 6 square units

the area of the third triangle is

2×4 = 8 square units.

so, the total area is

24 + 12 + 6 + 8 = 50 square units.

7 0

2 years ago

Rewrite the function y= x^2 + 14x + 4 in vertex form

Step2247 [10]

Vertex form is basically commplete the square
y=a(x-h)^2+k

y=x^2+14x+4
take 1/2 of 14 and square it, (7^2=49)
add that and its negative to right side
y=x^2+14x+49-49+4
factor perfect squaer
y=(x+7)^2-49+4
y=(x+7)^2-45

answer is A

4 0

3 years ago