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bulgar [2K]
4 years ago
11

Translate the following phrase to an expression: the difference between twenty and twice a number. Evaluate the expression for n

= 3.
Mathematics
1 answer:
hichkok12 [17]4 years ago
7 0

Answer:

22-2n or 22-2(3)

Step-by-step explanation:

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If you spend 55 cents, how much change would you get from a one dollar bill?
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Please help with this<br><br> Find the area of the shaded regions.
Mice21 [21]

Answer:

The area of the shaded region is 7π square centimeters.

Step-by-step explanation:

Note that Circle B has a radius of 3 cm, and the two smaller circles, Circles O and C, both have a radius of 1 cm.

The area of a circle is given by:

\displaystyle A = \pi r^2

Therefore, the area of Circle B, the entire circle, is:

\displaystyle \begin{aligned} A_B &= \pi (3)^2  \\ &= 9\pi \end{aligned}

The area of Circle O is:

\displaystyle \begin{aligned} A_O &= \pi (1)^2 \\ &= \pi \end{aligned}

And likewise, the area of Circle C is:

\displaystyle \begin{aligned} A_C &= \pi (1)^2 \\ &= \pi \end{aligned}

The area of the shaded area is the area of the Circle B subtracted by the area of Circles O and C. Hence:

\displaystyle A_\text{shaded} =A_B - \left(A_ O + A_ C\right)

Substitute and evaluate:

\displaystyle \begin{aligned} A_\text{shaded} &= (9\pi ) - (\pi + \pi) \\ &= 9\pi - 2\pi \\\ &= 7\pi \end{aligned}

The area of the shaded region is 7π square centimeters.

8 0
3 years ago
Standard form of the equation that goes through (1, 2) with a slope of 7, please!
Radda [10]

Answer:

7x - y = 5

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Obtain the equation in point- slope form and rearrange into standard form.

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 7 and (a, b) = (1, 2)

y - 2 = 7(x - 1) ← in point- slope form

y - 2 = 7x - 7 ( subtract y from both sides )

- 2 = 7x - y - 7 ( add 7 to both sides )

5 = 7x - y , that is

7x - y = 5 ← in standard form

7 0
3 years ago
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