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3 years ago

Evaluate: (8y+5) -2z; if y =3 and z =9

Mathematics

1 answer:

iVinArrow [24]3 years ago

5 0

Answer:

Step-by-step explanation:

(8y + 5) - 2z

y = 3, z = 9

Let's plug in the given values.

(8(3) + 5) - 2(9)

First let's multiply.

(24 + 5) - 18

Now simplify within the parentheses.

29 - 18

Subtract.

This is your answer.

Hope this helps!

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A circle has a radius of 3. An Arc in this circle has a central angle of 20 degrees. What is the length of the arc?

Alex

Answer:

Step-by-step explanation:

L=®/3602πr

L=20/360×2×3.14×3

L=1.04

6 0

3 years ago

PICTURE IS SHOWNN HELP

just olya [345]

C and D are correct because 25 > 35 so that's C.

Its also D because they are not equal.

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).

earnstyle [38]

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are two points on the line

= (1-3)/(4-2)

=-2/2

=-1

The point slope form is

y-y1 = m(x-x1) wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)

5 0

3 years ago

Select all the common denominators for 8/3 and 5/6 .......12, 24, 32, 36, 48

BabaBlast [244]

Hello.

The answer to your question is =
12, 3 x 4 and 6 x 2.
24, 3 x 8 and 6 x 4.
36, 3 x 12 and 6 x 6.
48, 3 x 16 and 6 x 8.

So it's pretty much everything except for 32.
Have a great day!

6 0

3 years ago

Read 2 more answers