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2 years ago

10

Find the equation of the line passing

1 answer:

STatiana [176]2 years ago

8 0

Answer: y = 4x + 1

explanation:
find the slope (y2 - y1)/(x2 - x1)
= (10-2)/(6-4) = 8/2 = 4

find y-intercept by using the slope to draw the line from one of the points

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given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the

Vinvika [58]

Check the picture below.

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)
\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}$

$\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)
\\\\\\
P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)$

3 0

3 years ago

Equation<br><img src="https://tex.z-dn.net/?f=%28z%20%2B%20%20%5Cfrac%7B6%7D%7B7%7D%20%29%20%2B%20%20%5Cfrac%7B2%7D%7B14%7D%20%2

ddd [48]

Given:

The equation is

$\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1$

To find:

The solution of the given equation.

Solution:

We have,

$\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1$

It can be written as

$\left(z+\dfrac{6}{7}\right)+\dfrac{1}{7}=-1$

$\left(z+\dfrac{6}{7}\right)=-1-\dfrac{1}{7}$

Multiply both sides by 7.

$7z+6=-7-1$

$7z+6=-8$

$7z=-8-6$

$7z=-14$

Divide both sides by 7.

$z=\dfrac{-14}{7}$

$z=-2$

Therefore, the value of z is -2.

5 0

3 years ago

What is the value of this expression? 4/15+3/5−2/3 Enter your answer in the box as a fraction in simplest form.

forsale [732]

Answer:

$\frac{4}{15} + \frac{3}{5} - \frac{2}{3}$

$\frac{4 \times 1}{15 \times 1} + \frac{3 \times 3}{5 \times 3} - \frac{2 \times 5}{3 \times 5}$

$\frac{4}{15} + \frac{9}{15} - \frac{10}{15}$

$\frac{4 + 9 - 10}{15}$

$\frac{13 - 10}{15}$

$\frac{3}{15}$

$\frac{1}{5}$

hope it helps you :)

have a great day

7 0

3 years ago

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A rectangular pyramid is sliced parallel to its base as shown in the figure. What is the shape of the resulting two-dimensional

Fed [463]

Answer:

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Step-by-step explanation:

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3 years ago

In the fruit bowl the ratio of apples, bananas, and pears is 4.2, 5. If the total

Sergio039 [100]

Answer:

5:11

Step-by-step explanation:

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2 years ago