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3 years ago

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer:

y - 2 = 1/3(x - 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the slope:

y - y1 = m(x - x1)

y - y1 = 1/3(x - x1)

Plug in the given point:

y - y1 = 1/3(x - x1)

y - 2 = 1/3(x - 3)

So, the correct answer is y - 2 = 1/3(x - 3)

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........I need help! Thanks in advance

Misha Larkins [42]

You can find the slope using the points.
9-18 -9 9
--------- = ------- = -------
-14+10 -4 4
Next, you can find the equation of the line.
y-9=9/4(x+14)
y=9/4x+40.5
Plug in 0 for x.
y=9/4(0)+40.5
y=40.5
So, the y-intercept is (0,40.5)
Plug in 0 for y.
0=9/4x+40.5
-40.5=9/4
x=-18
So, the x intercept is (-18,0)
I hope this helps!

8 0

3 years ago

In previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.82 inches. In a t

goblinko [34]

Answer:

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different

Step-by-step explanation:

Given that in previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.82 inches

But new balls showed mean of 92.6 inches with s = 1.72 inches

Sample size = 23

Since sample size is less than 30 and population std deviation is not know we use t test

$H_0: \bar x = 92.82\\H_a: \bar x \neq 92.82$

(Two tailed test at 5% significance level)

Mean difference = $92.6-92.82=-1.22$

Std error of sample mean = s/sqrt n = $\frac{1.72}{\sqrt{23} } \\=0.3586$

Test statistic t = mean diff/std error = -3.402

df = 23-1 =22

p value = 0.002559

since p value <5% we reject H0

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different

3 0

3 years ago

How do you solve for the segment area in a circle?

Aleks04 [339]

The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area = 209.4395102393 

segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = (1/2) * 346.412 
triangle DEF Area = 173.206 

segment area = 209.4395102393 -173.206

segment area = 36.2335102393 
segment area = 36.23 m

Source:
http://www.1728.org/circsect.htm

6 0

3 years ago

Anyone have the answers to “writing equations in slop-intercept form” Math 8? 8th grade. It’s 4 pages and due tomorrow.

Anettt [7]

Answer:

y=mx+b

Step-by-step explanation:

3 0

3 years ago

Finding slopes. Please do as many questions as you can.

Montano1993 [528]

Answer:

Step-by-step explanation:

slope are hard tbh

6 0

2 years ago

Read 2 more answers