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VARVARA [1.3K]
2 years ago
14

Can someone help please

Mathematics
1 answer:
lutik1710 [3]2 years ago
6 0

Step-by-step explanation:

For no. 8

2x + 1°+ 33° = 90° { Being complementary angles }

2x + 34° = 90°

2x = 90° - 34°

2x = 56 °

x = 56° / 2

x = 28°

For no. 10

5x + 12 = 6x - 10 ( being vertically opposite angles)

6x - 5x = 12 + 10

x = 22

Hope it will help :)❤

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Fynjy0 [20]

Answer:5 minutes

Step-by-step explanation:

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3 years ago
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What second degree polynomial function has a leading coefficient of -2 and root 4 with a multiplicity of 2
OverLord2011 [107]

The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

<h3>How to write the polynomial?</h3>

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

If you want to learn more about polynomials:

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8 0
2 years ago
A is the point with coordinates (3,8) b is the point with coordinates (x,13) the gradient of an is 2.5 .work out the value of x
Solnce55 [7]

Answer:

x = 5

Step-by-step explanation:

The formula for the gradient is given by:

m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.

Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:

2.5 = (13 - 8)/(x - 3)

2.5(x - 3) = 5 (Multiply both sides by (x - 3))

x - 3 = 2 (Divide both sides by 2.5)

x = 5 (Add 3 to both sides)

Thus, the value of x is 5.

7 0
3 years ago
Find the area and perimeter of the triangle in the picture. (the missing unit is 8.5 if you need that to solve)
ratelena [41]
The perimeter is 44.5
The area is 72.25
6 0
3 years ago
HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Soloha48 [4]

<u>Answers:</u>

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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

<u>Explanations:</u>

<u>1a)</u> The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. <em>Our equation is now y=-10/3x+90.</em>

<u>1b) </u>To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

<em>Therefore, we can predict that when x is 21, y is 20.</em>

<u>1c) </u>To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

<em>Therefore, we can predict that when y is 150, x is -18.</em>

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

<u>2a) </u>The mean absolute deviation (or MAD for short) of a data set is calculated as such:

<u>Step 1) </u>Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. <em>Therefore, our mean is 63.</em>

<u>Step 2) </u>Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. <em>We now have a new set of values: 2, 5, 1, 2, and 4.</em>

<u>Step 3)</u> Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. <em>Therefore, the MAD (and the answer to problem 2a) is 2.8.</em>

<u>2b)</u> Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

3 0
3 years ago
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