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3 years ago

Solve x2 + 6x = 7 by completing the square. What is the solution set of the equation?

Mathematics

1 answer:

Vikentia [17]3 years ago

4 0

$x^2+6x=7$
$x^2+6x+9=7+9$
$(x+3)^2=16$
$(x+3)^2=4^2$
$x+3=4\lor x+3=-4$
$x=4-3\lor x=-4-3$
$\boxed{x=1\lor x=-7}$

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What are the coordinates of the vertices of the figure A'B'C'after the following transformation. (x,y) ---> ( y, -x)

topjm [15]

9514 1404 393

Answer:

A'(4, 4)
B'(4, 2)
C'(1, 2)

Step-by-step explanation:

Using the transformation ...

(x,y) ⇒ (y, -x) . . . . . . rotation 90° CW

we have ...

A(-4, 4) ⇒ A'(4, 4)

B(-2, 4) ⇒ B'(4, 2)

C( -2, 1) ⇒ C'(1, 2)

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2 years ago

6. All angles in the figure below are right angles. What is the area of the figure? (4 point)

jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

"I have added screenshot of the complete question as well as the diagram"

All the angles of the figure are right angles

From the attached figure: we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

as a rectangle

∵ Area of any rectangle A = L × H , where L, H are the dimensions

of the rectangle

∵ L = 9 units and H = 5 units

∴ Area of the rectangle = 9 × 5 = 45 units²

- The dimensions of the cutting part are 3 units and

[9 - (2 + 4) = 9 - 6 = 3 units]

∴ The cutting part is a square

∵ Area any square = S², where S is the length of the side of the square

∵ S = 3 units

∴ The area of the cutting part = 3² = 9 units²

∵ Area of the figure = area rectangle - area square

∵ Area the rectangle = 45 units²

∴ Area the square = 9 unit²

∴ Area the figure = 45 - 9 = 36 units²

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3 years ago

What is the value of the expression 11 − (fraction 1 over 2)4 ⋅ 48? 3 5 8 9

olga55 [171]

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3 years ago

Match each equation with a value of x that satisfies it

Alexus [3.1K]

Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

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2 years ago

Suppose you hit a fly ball with an initial upward velocity of 20 feet per second. Which of the following equations would be a re

baherus [9]

A=g≈-32

v=⌠a dt since a≈-32

v=-32t+C, where C is the initial velocity, which we are told is 20 ft/s

v=-32t+20

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h=-32t^2/2+20t+C, where C is the initial height, so what is a reasonable initial height? How about 3 ft since we are swinging a bat around maybe our waist level... maybe :P

h=-16t^2+20t+3

Your choices may have made a different assumption about the initial height of course but you did not show your choices, but certainly it will be:

h(t)=-16t^2+20t+hi, where hi is the initial height in feet.

This of course ignores air resistance and flight dynamics of a spinning ball with seams, which will make a significant difference in real life :)

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3 years ago

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