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notka56 [123]
3 years ago
8

Determine the x- and y-intercepts of the graph of y=1/4 x−2

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0
First question : x=8 and y= -2
and once again, i dont know how t make a table
erica [24]3 years ago
5 0

Answer:


Step-by-step explanation:

Problem A

Basically all you have to do is put in 0 for x to give the y intercept and

0 in for y to give the x intercept. Here we go

x intercept

y =0

0 = (1/4)x -2     Add 2

2 = (1/4)x          Multiply both sides by 4

2*4 = x              Combine and switch

x = 8

===============

x = 0

y = (1/4)*0  - 2

y = -2

Intercept points

x_intercept: (8,0)

y_intercept: (0, - 2)

Problem 2

Essentially you make up the table by using random numbers meaning any number for x and solve for y.

x = -3

y = (-1/-3)(-3) + 1

y = -3/-3 + 1

y = 1 + 1

y = 2

--------------

y = 6

y = (-1/3)*6 + 1

y = -6/3 + 1

y = - 2 + 1

y = - 1

----------------

two other points are

(0,1) and

(-6,3)

To create the graph go to Desmos.

The red graph is y = (1/4)x - 2 The two intercepts are marked.

The blue graph is y = (-1/3)x + 1

The 4 points from the table  are on the blue line. The table is on your left.

If you see a mistake let me know. This is the noisiest place I've ever been in.


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A 4 wheeler that travels 52 miles on 5 gallons of gasoline. A second 4 wheeler travels 21 miles on 2 gallons of gasoline which c
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Second 4 wheeler:

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2 years ago
In △ABC, m∠A=19°, a=13, and b=14. Find c to the nearest tenth.
34kurt
We know that
Applying the law of sines

step 1
Find the value of angle B
a=13
b=14
A=19°
so

 \frac{a}{sin A} = \frac{b}{sin B} \\ a*sin B=b*sin A \\ sin B= \frac{b}{a}*sin A \\ sin B= \frac{14}{13} *sin 19 \\ sin B=0.3506 \\ B=arc sin(0.3506) \\ B=20.5°

step 2
with angle A and angle B find the angle C
A+B+C=180-----> solve for C
C=180-(A+B)------> C=180-(19+20.5)-----> C=140.5°

step 3
\frac{a}{sin A} = \frac{c}{sin C} \\ a*sin C=c*sin A \\ c=a* \frac{sin C}{sin A}  \\ c=13* \frac{sin 140.5}{sin 19}  \\ c=25.4

the answer is
the value of c is 25.4



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sqrt(86) = 9.273

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