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3 years ago

Mary was asked to find the slope of the line 3x - 4y = 12. She says the answer is 3/4

Mathematics

1 answer:

Vinvika [58]3 years ago

7 0

The correct answer is D. Choose two points on the graph and count the rise and the run between them. Graph D is the only one that also has a slope of 3/4 .

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I tried to do this but got confused ;0;

mafiozo [28]

Answer:

answer d 242 square feet

Step-by-step explanation:

5 0

3 years ago

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When 843219 to the power of 100 is multiplied out, what is the units digit

Nina [5.8K]

For this case we have the following expression:

$843,219$

When multiplying to the power of 100 we have:

$843,219 * 100 = 843,219 * 10 ^ 2 = 84,321,900$

We have to:

0: Unit

0: Ten

9: Hundred

1: One thousand unit

2: Ten thousand

3: One hundred thousand

4: Million unit

8: Ten million

Thus, the unit digit is 0.

Answer:

8 0

3 years ago

Please Help!!! Due: Monday On Ellipses - Pre Calc

eduard

25. Step-by-step explanation:

$\text{The general form of an ellipse is:}\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1\\\\\bullet \text{(h, k) is the Center}\\\bullet \text{a is the radius of x}\\\bullet \text{b is the radius of y}\\\bullet \text{the largest value between a and b is the major}\\\bullet \text{the smallest value between a and b is the minor}\\\bullet \text{the vertices are the (h, k) value plus the major (a or b) value}\\\bullet \text{the co-vertices are the (h, k) value plus the minor (a or b) value}\\\bullet \text{Length is the diameter}=2r\\$

$\dfrac{x^2}{16}+\dfrac{y^2}{25}=1\quad \text{can be rewritten as}\ \dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{5^2}=1\\\\\bullet (h, k)=(0,0)\\\bullet a=4\\\bullet b=5\\\bullet \text{b is the largest value so: b is the major and a is the minor}\\\bullet \text{Vertices are }(0, 0+5)\ and\ (0, 0-5)\implies (0, 5)\ and\ (0, -5)\\\bullet \text{Co-vertices are }(0+4, 0)\ and\ (0-4, 0)\implies (4,0)\ and\ (-4,0)\\\bullet \text{Length of major is }2b:2(5)=10\\\bullet \text{Length of minor is }2a:2(4)=8$

To find the foci, first we must find the length of the foci using the formula:

$(r_{major})^2-(r_{minor})^2=c^2$

Then add the c-value to the h (or k)-value that represents the major.

b² - a² = c²

25 - 16 = c²

9 = c²

±3 = c

The center is (0, 0) and the major is the y-value so the foci is:

(0, 0+3) and (0, 0-3) ⇒ (0, 3) and (0, -3)

26. Answers

Follow the same steps as #25:

Center: (0, 0)

Vertices (7, 0) and (-7, 0)

Co-vertices: (0, 3) and (0, -3)

foci: (2√10, 0) and (-2√10, 0)

length of major: 14

length of minor: 6

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=cos%283theta%29%20%3D-1%3Cbr%3E%0A" id="TexFormula1" title="cos(3theta) =-1&#10;" alt="cos

castortr0y [4]

Hello :
cos(3θ) = -1
cos(3θ) = cos(π)
general solution in : R is
3θ = (2k+1)π k in Z
θ = (2k+1)π/3
if θ in [0 , 2π] the solutions are :
k=0 : x = π/3
k=1 : x = π
k=2 : x = 5π/3

5 0

3 years ago

Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items ca

MakcuM [25]

Answer:

recyclble materials include Milk bottles, news papaers and soda cans

the rest is compost

20 items is the total

13 are recycble

13/20 as a decimal is 0.65

multiply by 100

and answer is

Step-by-step explanation:

6 0

3 years ago

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