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3 years ago

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)

Mathematics

1 answer:

sashaice [31]3 years ago

4 0

Answer:

y = a*x + b

a is the slope and b is the y-intercept (at x=0)

is the general formula.

let's plug in the x and y information of the point, and slope.

3 = 1/4 * 8 + b

that seems like we can solve for b

3 = 2 + b

1 = b

the y-intercept is at (0,1)

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A football field is 120 yards long and 160 yards wide. How many square yards of grass is needed to cover the field? Show your ca

sleet_krkn [62]

Answer:

19,200 yds²

Step-by-step explanation:

The question is asking for how many square yards of grass is needed

This means that it is looking for the Area.

The formula for area is Length x Width = Area

120 (Length)

160 (Width)

120 x 160 = 19,200

The unit of measurement is yards...

19,200 yds²

8 0

3 years ago

Solve the triangle A = 2 B = 9 C =8

VARVARA [1.3K]

Answer:

$\begin{gathered} A=\text{ 12}\degree \\ B=\text{ 114}\degree \\ C=54\degree \end{gathered}$

Step-by-step explanation:

To calculate the angles of the given triangle, we can use the law of cosines:

$\begin{gathered} \cos (C)=\frac{a^2+b^2-c^2}{2ab} \\ \cos (A)=\frac{b^2+c^2-a^2}{2bc} \\ \cos (B)=\frac{c^2+a^2-b^2}{2ca} \end{gathered}$

Then, given the sides a=2, b=9, and c=8.

$\begin{gathered} \cos (A)=\frac{9^2+8^2-2^2}{2\cdot9\cdot8} \\ \cos (A)=\frac{141}{144} \\ A=\cos ^{-1}(\frac{141}{144}) \\ A=11.7 \\ \text{ Rounding to the nearest degree:} \\ A=12º \end{gathered}$

For B:

$\begin{gathered} \cos (B)=\frac{8^2+2^2-9^2}{2\cdot8\cdot2} \\ \cos (B)=\frac{13}{32} \\ B=\cos ^{-1}(\frac{13}{32}) \\ B=113.9\degree \\ \text{Rounding:} \\ B=114\degree \end{gathered}$ $\begin{gathered} \cos (C)=\frac{2^2+9^2-8^2}{2\cdot2\cdot9} \\ \cos (C)=\frac{21}{36} \\ C=\cos ^{-1}(\frac{21}{36}) \\ C=54.3 \\ \text{Rounding:} \\ C=\text{ 54}\degree \end{gathered}$

3 0

1 year ago

Does anyone know what to fill in?

riadik2000 [5.3K]

Answer:

$36.69

Step-by-step explanation:

Okay, so let's first write the equation:

2.59*10 + 3d = 135.97

Now, let's work on isolating d by first simplifying the equation:

25.9 + 3d = 135.97

25.9 + 3d - 25.9 = 135.97 - 25.9

3d = 110.07

3d/3 = 110.07/3

d = 36.69

Okay, now let's check:

2.59*10 + 3*36.69 = 135.97

25.9 + 110.07 = 135.97

135.97 = 135.97

Okay, so so it costs $36.69 per pair of shoe.

4 0

3 years ago

Solve for x. What is the solution to the system of equations? ( , )

labwork [276]

(3,-2) hope this helps Yall

5 0

2 years ago

X2 - 1 In Out 5 9 -3 -7 7 -20

DerKrebs [107]

Answer:

|4| = |7|

this is the answer of this question

4 0

3 years ago

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)​

Whar is the y-intercept of a line that has a slope of 1/4 and passes through point (8, 3)