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s344n2d4d5 [400]
2 years ago
5

Find the circumference of the circle. 7 m

Mathematics
1 answer:
Nutka1998 [239]2 years ago
8 0

Answer:

43.96m is the answer

Step-by-step explanation:

circumference of circle=2πr

=2*3.14*7

=43.96m

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Let P(x) = 3x³-ax+b. If P(1) = P(-1) and P(2)=16, find the values of a and b
kozerog [31]

P(1) = P(-1)

P(1) = 3 - a + b
P(-1) = -3 + a + b

-> 3 - a + b = -3 + a + b
-> 3 - a + b + 3 - a - b = 0
-> 6 - 2a = 0
-> a = 3.

P(2) = 24 - 2a + b -> 24 - (2a - b) = 16 -> 2a - b = 8
-> 6 - b = 8
b = -2.

So, a = 3 and b = -2

Recheck : P(1) = 3 - 3 + (-2) = -2
P(-1) = -3 + 3 + (-2) = -2 => P(1) = P(-1) (true)

P(2) = 24 - 6 + (-2) = 16.

6 0
2 years ago
Which list is in order from least to greatest?
NeX [460]

Answer:

The first option.

Explanation:

Since these numbers are given in scientific notation, we must first look at the exponent to determine whether or not it's big or small. Negative exponents are less, so we start with that. Immediately, that eliminates the second and third options as -8 is less than -6 and 3. The last two numbers given in the first and last options, however, both have 3 as the exponent. Now, we look at the number given in front. 2.5 is less than 7, so we know that the first option is in order from least to greatest.

4 0
2 years ago
(Please answer before 5:15 P.M tonight)
taurus [48]

The scale factor of dilation from ABC to A^{1} B^{1} C^{1} is 0.333.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of both triangles.

The coordinates of the triangle A^{1} B^{1} C^{1} are as follows;

A^{1} = (2, 3), B^{1} = (2, 1), and C^{1} = (3, 1).

The coordinates of triangle ABC are;

A = (4, 9), B = (4, 3), and C = (7, 3).

Step 2;

Next, we need to find the distances between at least two coordinates for both triangles.

The distances between vertical lines are found by calculating the difference in y values while for horizontal lines, the distances are found by calculating the difference between the x values.

The distance of A^{1} B^{1} = 3-1=2, the distance of B^{1} C^{1} = 3-2=1.

The distance of AB =9-3=6, the distance of BC = 7-4=3.

Step 3;

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the length of the AB.

So The scale factor for AB = \frac{2}{6} = \frac{1}{3} = 0.333.

The scale factor for BC = \frac{1}{3} = 0.333.

7 0
3 years ago
Extra Credit: Graph the function r(x) = |x −5| + 4. Compare the graph to the graph of f(x) = |x|. Describe the domain and range.
Vlad [161]

I forgot. Ill edit this when i remember

3 0
3 years ago
When constructing parallel lines , how can you verify the lines constructed are parallel
tamaranim1 [39]

Answer:

  compare the distance between the lines at one point to the distance between the lines at another point

Step-by-step explanation:

You can construct perpendiculars at different points and compare the distance between the lines at those perpendiculars. The distance between parallel lines is the same everywhere.

8 0
3 years ago
Read 2 more answers
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