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Pavlova-9 [17]
3 years ago
6

use the point-slope equation to identify the slope and the coordinates of a point on the line y – 4 = 1/2 (x – 1). the slope of

the line is . a point on the line is

Mathematics
2 answers:
mihalych1998 [28]3 years ago
7 0

Answer:

The slope of the line is \dfrac{1}{2} and a point on the line is (1, 4)  

Step-by-step explanation:

The general point slope of line passing through (x_1,y_1) and having slope as m.

y-y_1=m(x-x_1)

The given equation of the straight line,

y-4=\dfrac{1}{2}(x-1)

Comparing this to the general equation we get the point as (1, 4) and slope as \dfrac{1}{2}

Elden [556K]3 years ago
7 0

we know that

The equation of the line into point-slope form is equal to

y-y1=m(x-x1)

where

m is the slope

(x1,y1) is the point

In this problem we have

y-4=\frac{1}{2}(x-1)

therefore

<u>The slope is equal to</u>

m=\frac{1}{2}

<u>The point is equal to</u>

(1,4)

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What is the measure of angle 7?
goldenfox [79]

Answer:

measure of Angle 7 would also be (3y - 8), by the alternate exterior angles theorem

Hope this helps!

5 0
3 years ago
Part A: Plot the points A(-8,7) and B(6,-9). Mark the halfway point on AB and label it point M. What are the coordinates of M? P
vredina [299]

Answer:

a. M(x,y) = (-1,-1)

b. D(-4,-9)

Step-by-step explanation:

Given

A(-8,7) and B(6,-9).

Solving (a):

Determine the Midpoint M;

This is calculated as follows;

M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Where

(x_1,y_1) = (-8,7)

(x_2,y_2) = (6,-9)

Substitute these values in the formula

M(x,y) = (\frac{-8+6}{2},\frac{7-9}{2})

M(x,y) = (\frac{-2}{2},\frac{-2}{2})

M(x,y) = (-1,-1)

<em>Hence; the midpoint is (-1,-1)</em>

Solving (a):

Here, we have

C = (2,7)

M; Midpoint = (-1,-1)

Required: Determine D

This is calculated as follows;

M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Where

(x_1,y_1) = (2,7)

(x,y) = (-1,-1)

Substitute these values in the formula

(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})

Solving for x2

-1 = \frac{2 + x_2}{2}

Multiply both sides by 2

-2 = 2 + x_2

Subtract 2 from both sides

x_2 = -2 - 2

x_2 = -4

Solving for y2

-1 = \frac{7 + y_2}{2}

Multiply both sides by 2

-2 = 7 + y_2

Subtract 7 from both sides

y_2 = -2 - 7

y_2 = -9

Hence, the coordinates of D is

D(-4,-9)

7 0
4 years ago
Someone please solve this from 1 to 10
gladu [14]
4x - 6 = x + 9
4x - x = 9 + 6
3x = 15
x = 15/3
x = 5
==============
4 - 7x = 1 - 6x
4 - 1 = -6x + 7x
3 = x
==============
-4x - 3 = -6x + 9
-4x + 6x = 9 + 3
2x = 12
x = 12/2
x = 6
==============
41 - 2x = 2 + x
41 - 2 = x + 2x
39 = 3x
39/3 = x
13 = x
===============
6(2 + y) = 3(3-y)
12 + 6y = 9 - 3y
6y + 3y = 9 - 12
9y = - 3
y = -3/9
y = -1/3
==============
4x = 2(x - 5) - 2
4x = 2x - 10 - 2
4x - 2x = -10 - 2
2x = -12
x = -12/2
x = -6
===============
6x - 9x - 4 = -2x - 2
-3x - 4 = -2x - 2
-4 + 2 = -2x + 3x
-2 = x
==============
-2(2x + 3) = -4(x + 1) - 2
-4x - 6 = -4x - 4 - 2
-4x - 6 = -4x - 6
infinite solutions
================
3 + 6x = 9 - 6x
3 - 9 = -6x - 6x
-6 = -12x
-6/-12 = x
1/2 = x
==============
-9x + 6 = -x + 4
6 - 4 = -x + 9x
2 = 8x
2/8 = x
1/4 = x

I hope I read these correctly....not that easy...u got weird looking x's and ur 4's can almost pass for 6's



8 0
3 years ago
what is the radius of a circle with a circumference of 125 cm? round your answer to the nearest whole number .use 3.14
Lerok [7]

Answer:

19.9 i think

Step-by-step explanation:

125/3.14=39.8

39.8/2=19.9

hope i helped

5 0
4 years ago
Read 2 more answers
-8x – 14 = 7(-2 - 4x) + 4x<br> what is
Andru [333]

Answer:

<h2>x = 0</h2>

Step-by-step explanation:

-8x-14=7(-2-4x)+4x\qquad\text{use the diastributive property}:\ a(b+c)=ab+ac\\\\-8x-14=(7)(-2)+(7)(-4x)+4x\\\\-8x-14=-14-28x+4x\qquad\text{add 14 to both sides}\\\\-8x-14+14=-14+14-24x\\\\-8x=-24x\qquad\text{add}\ 24x\ \text{to both sides}\\\\-8x+24x=-24x+24x\\\\16x=0\qquad\text{divdie btoh sides by 16}\\\\\dfrac{16x}{16}=\dfrac{0}{16}\\\\x=0

8 0
3 years ago
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