258 divided by 6. divide using partial quotients

Angle b is three times the measure of angle a. Angle c is two times the measure of angle a. What are the measures of all the ang

rewona [7]

Answer:

30 60 90

Step-by-step explanation:

4 0

3 years ago

A rectangular prism measures 4 ½ inches long, 6 ½ inches wide, and 2 ½ high. How many cubes with side length of ½ inch are neede

natita [175]

Answer:

it's a volume question

Explanation:

First, find the volume of the small shape.

(

1

4

×

1

4

×

1

4

)

=

1

64

Then, divide the volume of the bigger shape.

(

4.1

2

×

5

×

3.3

4

)

=

675

8

Finally, divide the big shape volume by the small shape volume.

(

675

8

÷

1

64

)

=

5400

Smaller shapes will fit into bigger shapes.

Step-by-step explanation:

5 0

3 years ago

How can you use distributive property when factoring?

Crazy boy [7]

We can think of factoring as the opposite of the distributive property. If we take ax+bx, we just factor to get x(a+b) - it's the same thing. If you think of it like that, it provides great insight and a thoughtful memory strategy. Hope this helps!

5 0

3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!

Nataly [62]

Hello.

Firstly, let's isolate x on the equation:

$\mathsf{f(x) = 3x + 3} \\ \\ \mathsf{y = 3x + 3} \\ \\ \mathsf{-3x = -y + 3} \\ \\ \mathsf{x = \dfrac{-y + 3}{3}}$

Now, we can replace 'x' for 'y' and vice-versa:

$\mathsf{f^{-1}(x) = \frac{-x + 3}{3}`}$

Hope I helped.

4 0

3 years ago

Part 1: Linear Systems and Line Segments

Nataly_w [17]

Answer:

y=8(x−8)(x+0.5)

Step-by-step explanation:

Part 1: Linear Systems and Line Segments

Create and attach a 1 page ‘cheat’ sheet for the Linear Systems Unit.

Solve each system by graphing:

y = x+2, y = 4-1

2x – y + 9 = 0, x + y – 3 = 0

Solve by substitution:

x – 2y = 4, 2x – 3y = 7

Solve by elimination:

3x + 8y = -3, x + 8y = -5

4x – 5y = -22, 5x +6y = -3

Find the length of the line segment joining each pair of points. (Express to nearest 10th of a unit)

(2,5) and (5,7)

(-1, -3) and (-2, -4)

Find the midpoint of each line segment.

M (-2, 2), P (4, 8)

A (3, 3), J (-9, 3)

The Midpoint of AB is M(-2, 1). IF A(-7, 3), what are the coordinates of B?

Page Break

Part 2: Trigonometry

Create and attach a 1 page ‘cheat’ sheet for the Trigonometry Unit.

Solve each right triangle:

Shape E

Shape F 62⁰ D

150 cm

ShapeText BoxA

Shape15⁰

ShapeB C

Page Break

Solve each triangle:

Shape L

58⁰

56⁰

M 19 cm N

ShapeJ

58⁰

18 mm 15 mm

K L

Khalid wants to be sure his boat is safely anchored. He knows that the angle of depression that the boat makes with the horizontal when anchored should be less than 12⁰. The boat is 100 m above the seabed and the anchor cable is 440 m long. Is Khalid safely anchored? Explain.

Part 3: Polynomials

Create and attach a 1 page ‘cheat’ sheet for the Polynomial Unit.

Simplify

(4x - 3) + (5x+4)

(2x2 – 3x + 4) – (x2 + 4x - 1)

(-6x3 yz2 )(-2xy2 z)

Factor, if possible

7x + 42

X2 + 7x + 12

3x2 = 12x = 9

X2 + 9

5x2 – 20x + 20

Page Break

Part 4: Quadratics

Create and attach a 1 page ‘cheat’ sheet for the Quadratics Unit.

Graph the data and write the relation in the form of

y=a(x−h)2

y=ax−h2

X

Y

-6

32

-5

18

-4

8

-3

2

-2

0

-1

2

Graph the data and write the relation in the form of

y=a(x−h)2

y=ax−h2

X

Y

-1

-8

0

-4.5

1

-2

2

-0.5

3

0

4

-0.5

Graph the relation by plotting the vertex and 2 other points.

y=(x+1)2−1

y=x+12−1

y=−2(x−6)2+2

y=−2x−62+2

For each, write the relation in standard form:

y=ax2+bx+c

a=2, b=5, y intercept = 11

y=5x2+bx+c

, vertex at (1, 4)

a=−3

, passes through (2, 11) and (0, -5)

Factor:

x2−17x+66

x2−3x−18

x2+13x

x2−9

Find the zeros.

y=(x+3)(x−3)

y=x+3x−3

y=−10x2

y=8(x−8)(x+0.5)

4 0

3 years ago