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marishachu [46]
2 years ago
8

Use the Distance Formula to find the distance between each pair of points. (5,8) and (3,10)

Mathematics
1 answer:
andrew-mc [135]2 years ago
5 0
The distance formula is shown here. If you plug your coordinates into the formula, you will get d=square root of (5-3)^2+(8-10)^2 which equals 2.828

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Given h(x) = 4x2 + 3x – 8, what is the value of h(–9) ?
fenix001 [56]

Answer:

h(-9) = -107

Step-by-step explanation:

h(-9) = 4(-9)2 + 3(-9) - 8 = -107

6 0
2 years ago
line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


5 0
3 years ago
This probability distribution shows the typical grade distribution for a Geometry course with 35 students . A B С DF Grade Frequ
Nataly [62]

Answer:

p=0.29

Step-by-step explanation:

Total ~ of ~students=35

Probability =10/35=0.29

<u>----------------------------</u>

hope it helps....

have a great day!!

4 0
3 years ago
Read 2 more answers
URGENT, PLEASE HELP! (3/5) -50 POINTS- !please no wrong answers for the points.! A) <img src="https://tex.z-dn.net/?f=y%20%3D%20
shtirl [24]

Answer:

B y = -1/2x + 7/2

Step-by-step explanation:

We know that it has a negative slope since the points go from the top left to the bottom right

We can eliminate A and D

The y intercept is where it crosses the y axis

It should cross somewhere between 2 and 4

C  has a y intercept of 9 which is too big

Lets verify with a point

x = -4

y = -4(-4)+9 = 16+9 = 25  (-4,25)  not even close to being near the points on the graph

checking B

y = -1/2 (-4) +7/2

  = 2 + 7/2 = 11/2 = 5.5  it seems  reasonable

5 0
3 years ago
Read 2 more answers
Order these ratios from least to greatest- 7:2, 12 to 4, 20/6, 21:14, 10:5<br> pls :,)
Brrunno [24]

Answer:

21:14, 10:5, 12 to 4, 20/6, and 7:2

Step-by-step explanation:

first simplify all the ratios.

the first one is already simplified

12 to 4 = 3 to 1

20/6 = 10/3

21:14 = 3:2

10:5 = 2:1

Next find the least common factor the the three digits, 1, 2, and 3 and which is 6.

Multiply the simplified factors into the least common factor. So 7:2 will be multiplied by 6 so it will be 21:6

Do it with the rest of the factors and get

21:6, 18 to 6, 20/6, 9:6, and 12:6

Finally order them from least to greatest,

9:6, 12:6, 18 to 6, 20/6, and 21:6

or

21:14, 10:5, 12 to 4, 20/6, and 7:2

4 0
3 years ago
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