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4 years ago

@Texischic101 Write 987% in decimal form. A) .0987 B) .987 C) 9.87 D) 98.7

Mathematics

2 answers:

torisob [31]4 years ago

7 0

The decimal form of 987% is 0.987.

Alex73 [517]4 years ago

7 0

the answer is 0.987 im pretty sure

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For each store, what is the ratio of the number of cans to the price.

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What is the property of a(ab)+(ab)b

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4 years ago

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Convert y=x squared +64x + 12 into graphing form

guajiro [1.7K]

$To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \ form \\ \\ y = a(x - h)^2 + k ,\\ \\ we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \ and \ vertex(h, k) \ is \ given \ by:$

$h = \frac{-b}{2a} , \ \ k = c -\frac{b^2}{4a} \\ \\y = a(x - h)^2+k$

opens up for a > 0, and down for a < 0

$y=x^2 +64x + 12\\ \\a=1,\ b=64 \ c = 12 \\ \\h = \frac{-64}{2}=-32 \\ \\ k = 12 -\frac{64^2}{4 }=12-\frac{4096}{4}=12-1024= -1012\\ \\y = (x+32)^2-1012 \\ \\ This \ means \ the \ vertex \ of \ the \ parabola \ is \ at \ the \ point \ (-32, -1012)\\ \\ and \ the \ parabola \ is \ concave \ up.$

3 0

4 years ago

Find the distance between points M and N. and if anyone could kinda explain how they got it so i can do the next ones on my own

WINSTONCH [101]

Answer:

$\sqrt{13} = D$

Step-by-step explanation:

Method #1

We can draw a right triangle on the graph upon where the points are located and use the Pythagorean Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

${3}^{2} + {2}^{2} = {c}^{2}$

$9 + 4 = {c}^{2}$

$13 = {c}^{2}$

$\sqrt{13} = c$

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

_______________________________________________

Method #2

We can use the Distance Formula:

$\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D$

N[−3, 2] M[−6, 0]

$\sqrt{[3 - 6]^{2} + [0 + 2]^{2}} = D$

$\sqrt{[-3]^{2} + 2^{2}} = D$

$\sqrt{9 + 4} = D$

$\sqrt{13} = D$

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

** You see? It does not matter which method you choose, as long as you are doing the work correctly.

I am delighted to assist you anytime.

4 0

3 years ago

Read 2 more answers

Which series of transformations shows that pentagon A is congruent to pentagon B?

Fantom [35]

The correct answer is:

B) A 90° counterclockwise rotation about the origin, followed by a reflection across the x-axis, followed by a translation 8 units right and 1 unit up.

Explanation:

The coordinates of the points of the pre-image are:
(3, 1)
(3, 4)
(5, 7)
(6, 5)
(6, 2)

The coordinates of the points of the image are:
(7,-2)
(4,-2)
(1,-4)
(3,-5)
(6,-5)

A 90° counterclockwise rotation about the origin negates the y-coordinate and switches it and the x-coordinate. Algebraically,
(x,y)→(-y,x).

When this is applied to our points, we get:
(3, 1)→(-1, 3)
(3, 4)→(-4, 3)
(5, 7)→(-7, 5)
(6, 5)→(-5, 6)
(6, 2)→(-2, 6)

A reflection across the x-axis negates the y-coordinate. Algebraically,
(x, y)→(x, -y).

Applying this to our new points, we have:
(-1, 3)→(-1, -3)
(-4, 3)→(-4, -3)
(-7, 5)→(-7, -5)
(-5, 6)→(-5, -6)
(-2, 6)→(-2, -6)

A translation 8 units right and 1 unit up adds 8 to the x-coordinate and 1 to the y-coordinate. Algebraically,
(x, y)→(x+8, y+1).

Applying this to our new points, we have:
(-1, -3)→(-1+8,-3+1) = (7, -2)
(-4, -3)→(-4+8,-3+1) = (4, -2)
(-7, -5)→(-7+8,-5+1) = (1, -4)
(-5, -6)→(-5+8,-6+1) = (3, -5)
(-2, -6)→(-2+8,-6+1) = (6, -5)

These match the coordinates of the image, so this is the correct series of transformations.

3 0

4 years ago