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AlexFokin [52]
3 years ago
9

A is (-2,1)

Mathematics
1 answer:
valkas [14]3 years ago
7 0

1) in order to solve this problem you must to obtain The value of K,  for it you know by definition  that the  horizontal slope  of the side BC  is zero ,

then m = Y2-Y/X2-X1,   0 = 5-K/4-6⇒0 = 5-K⇒K = 5

known this value for K   you ca find the equation of thE line that pass through  A and C

2) Following the same procedure in first place you calculate the slope with the points A(-2,1) Y C ( 4,5)

m= 5-1/4-(-2) = 2

now with any point  A  or C and the slope you obtain the line

A(-2,1)

y-y1 = m (x-x1) ,   Y-1= 2(X-(-2)⇒Y-1= 2X+4⇒Y=2X+4-1⇒Y =2X+3


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Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below.
NeX [460]

Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

5 0
3 years ago
How much must you add to -12 to get greater than 5
pav-90 [236]
At least 15 b/c is you add QWERTY to -12, you get zero and adding 5 to get 15 in total.
7 0
3 years ago
The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
IgorC [24]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0
3 years ago
B + 12 = 16; 2, 3, 4
Molodets [167]

Answer:

4

Step-by-step explanation:

b+12 =16

-12. -12

b = 4

hope this helps

5 0
3 years ago
9 11/12- 2 8/11 is a problem that i need help on
Vitek1552 [10]
Hey there!!

Okay here are the steps you can follow!

9 11/12  ---->  improper fraction  ----> 119/12
2 8/11  ---->  improper fraction  ---->  30/11

119/12  -  30/11
(119/12  -  30/11) * 132
11(119)  -  12(30)
1309 - 360
<u>949</u>
3 0
3 years ago
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