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2 years ago

W(x)=4x+5, find w(-8)

2 answers:

5 0

If I remember properly, the number in the parentheses will be substitute the x on the other side of the equation sign. So w(-8)=4(-8)+5, or -40+5 which is equal to -35

Genrish500 [490]2 years ago

3 0

Just Put -8 in for X 4(-8)+5 goes to -32+5 to 27

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AlladinOne [14]

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2 years ago

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A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

2 years ago

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What is the value of x, given that OP||NQ ?

Irina-Kira [14]

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6 0

2 years ago

Q(–1, a) is 4 5 units away from P(3, –2). Find all possible values of a

Natali [406]

Answer:

Step-by-step explanation:

Using the formula for calculating the distance between 2 points.

D = √(x2-x1)²+(y2-y1)²

Given

D = 45 units

The coordinates Q(–1, a) and P(3,2)

45 = √(3-(-1))²+(-2-a)²

45 = √4²+(-2-a)²

45 = √16+(-2-a)²

45² = 16+(-2-a)²

45² = 16+4+4a+a²

45² = 20+4a+a²

a²-4a+20-2025 = 0

a²+4a-2005 = 0

a = -4±√16+4(2005)/2

a = -4±√16+8020/2

a = -4±√8036/2

a = -4±90/2

a = -4+90/2

a = 86/2

a = 43

The possible values of a is 43

5 0

2 years ago

Chris works at a bakery. He bakes 14 loaves of banana bread. He sells 8 loaves to customers. Then he cuts the

Anvisha [2.4K]

Answer:

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Step-by-step explanation:

7 per loaf times 6 extras is 42

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2 years ago