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TiliK225 [7]
3 years ago
5

Write the equation in POINT-SLOPE FORM of the line that passes through the points (4, 0) and (-2, 1).

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0
Slope = (1-0)/(-2-4) = -1/6

<span>POINT-SLOPE equation
y - 0 = -1/6(x - 4)

hope it helps</span>
You might be interested in
An amount of $180 is shared among three people in the ratio x: y: z.
sammy [17]

Answer:

$110 and $30

Step-by-step explanation:

To solve this, we need to know the total share which is,

4 + 11 + 3 = 18

Then, you need to know the fraction of the share over the total, such that

x = \frac{4}{18}

y =  \frac{11}{18}

z =  \frac{3}{18}

So if to find how much that'll be of the $180 for the largest and smallest share,

Largest:

\frac{11}{18}  \times 180 = 110

Smallest:

\frac{3}{18}  \times 180 = 30

6 0
3 years ago
1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2
erik [133]
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

 (2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
 


5 0
3 years ago
in 1991, a gallup poll reported this percent to be 79%. using the data from this poll, test the claim that the percent of driver
snow_lady [41]

We reject our null hypothesis, H₀, at a level of significance of =0.01 since the P-value is less than that threshold. There is compelling statistical data to indicate that since 1991, the proportion of drivers who love driving has decreased.

Given,

The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles.

In 1991, a Gallup poll reported this percentage to be 79%. using the data from this poll, test the claim that the percentage of drivers who enjoy driving their cars has declined since 1991.

To report the large-sample z statistic and its p-value,

Null hypothesis,

H₀ : p = 0.79

Alternative hypothesis,

Ha : p < 0.79

Level of significance, α = 0.01

Under H₀

Test statistic,

Z_0= \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n} }  }

Z₀ = -7.948

The alternative hypothesis(Ha) is left-tailed, so the P-value of the test is given by

P-value = P(z <-7.945)

            = 0.000     (from z-table)

Since the P-value is smaller than given level of significance, α=0.01 we reject our null hypothesis, H₀, at α=0.0.1 level Strong statistical evidence to conclude that the percentage of drivers who enjoy driving their cars has declined since 1991.

To learn more about hypothesis click here:

brainly.com/question/17173491

#SPJ4

5 0
1 year ago
PLEASE HELP ME ASAP!!!! A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region bet
den301095 [7]

Answer:

Depending on the shaded area, it will be less than 113 in², so not the last option

Step-by-step explanation:

Area of a circle is A= πr²

if it fits in 12 inch sides, 12 i the diameter and 6 is the radius

A= 3.14(6)²

A= 113 in²

Then, find what the shaded area is

4 0
3 years ago
Given that sine= 21/29, what is the value of cos 0, for 0° &lt;0&lt;90°? A -square root of 20/29 B -20/29 C 20/29 D square root
Stolb23 [73]

Answer:

Step-by-step explanation:

sin=y/r

cos=x/r

sin=21/29

cos=x/29

x^2+y^2=r^2

x^2+21^2=29^2

x^2+441=841

x=sqrt(841-441)

x=20

cos=20/29

                       

  Only              |

   sin +             |     All Positive

---------------------|-------------------

           only      |    Only cos +

            tan +    |

                     

4 0
3 years ago
Read 2 more answers
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