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mel-nik [20]
3 years ago
8

8m+8<9m-1 solve for M

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0
The answer for this math problem is: m>9
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Find the measure of arc RPQ
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If you have the radius:

You can use the Circumference which us equal to:

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3 years ago
Point C (4, 2) divides the line segment joining points A (2, -1) and B (x, y) such that AC: CB = 3.1 what are the coordinates of
IRINA_888 [86]

The coordinates of B are (\frac{14}{3} ,3).

Solution:

Given A(2, –1), B(x, y) and C(4, 2)

AB is a line segment C is a point on AB.

AC : CB = 3 : 1

To find the coordinates of B:

Section formula:

The point P(x,y) divides the line segment A(x_1,y_1) and B(x_2,y_2) in the ratio

m : n are \left(\frac{\mathbf{m} \mathbf{x}_{2}+\mathbf{n} \mathbf{x}_{\mathbf{1}}}{\mathbf{m}+\mathbf{n}}, \frac{\mathbf{m} \mathbf{y}_{2}+\mathbf{n} \mathbf{y}_{\mathbf{1}}}{\mathbf{m}+\mathbf{n}}\right)

Here, x_1=2, \ x_2=x, \ x_3=4, \ y_1=-1, \ y_2=y, \  y_3=2 and m = 3, n = 1

Using section formula,

$C(x_3,y_3)=\left(\frac{mx_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)

Substitute the given values in the section formula.

$C(4,2)=\left(\frac{3 \times x+1 \times 2}{3+1}, \frac{3 \times y+1 \times (-1)}{3+1}\right)

$C(4,2)=\left(\frac{3x+2}{4}, \frac{3y-1}{4}\right)

Equate the x-coordinates and y-coordinates.

$\frac{3x+2}{4}=4, \ \ \  \frac{3y-1}{4}=2

$\ 3x+2=16, \ \ \  \ 3y-1=8

$ 3x=14, \ \ \  \ 3y=9

$ x=\frac{14}{3}, \ \ \  \ y=3

Hence the coordinates of B are (\frac{14}{3} ,3).

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Matt hopes to score 120 points this season. He has scored 80% of his goal so far. Fill in the double number line diagram to find
iVinArrow [24]

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