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Alik [6]
3 years ago
9

???????? Help pls???????

Mathematics
1 answer:
77julia77 [94]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

A linear function graph can be represented by:

y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.

a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{400-100}{20-0}(x-0)\\\\y-100=15x\\\\y=15x + 100

b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.

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In 5 minutes, Joey eats 25 hot dogs. how many hot dogs did he eat in a minute?​
Colt1911 [192]
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25 ÷ 5 = 5

5 Per Min.
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What’s the value of X In this????
kkurt [141]

Answer:

x = 68 degrees

Step-by-step explanation:

Step 1: We know this is a isosceles triangle

Since we know it is a isosceles triangle it has 2 of the same angle so the unknown side(not x) is 59

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Angles in a triangle add up to 180 so we subtract 59 x 2 from 180 to get 68

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Find the average value of f over region
SVETLANKA909090 [29]
D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
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3 0
3 years ago
The question is in the picture please help
ahrayia [7]

Answer:

Claim 2

Step-by-step explanation:

The Inscribed Angle Theorem* tells you ...

... ∠RPQ = 1/2·∠ROQ

The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.

... 2·∠RPQ = ∠ROQ

The symmetric property of equality says you can rearrange this to ...

... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ

_____

* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.

You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.

4 0
3 years ago
The volume of a triangular prism is increased by a factor of 8.
Allushta [10]

Answer:

4

Step-by-step explanation:

3 0
4 years ago
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