Ask question

Ask question

All categories

2 years ago

10

Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)

2 answers:

MariettaO [177]2 years ago

8 0

Answer:

A

Step-by-step explanation:

NeX [460]2 years ago

6 0

So, a line parallel to <span>y - 5x = 10, will have the same slope as that equation, so what is that slope anyway? let's solve for "y".

</span> $\bf y-5x=10\implies y=5x+10\implies y=\stackrel{slope}{5}x\stackrel{y-intercept}{+10}$
<span>
alrite, so the slope is 5 then, well, then the parallel line will have the same slope.

so, we're really looking for the equation of a line whose slope is 5 and runs through 3,10.

</span> $\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 3}}\quad ,&{{ 10}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 5
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-10=5(x-3)
\\\\\\
y-10=5x-15\implies y=5x-5$ <span>
</span>

You might be interested in

The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part

erastova [34]

Answer:

$71.63 \: \: \mathrm{cm^2 }$

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

$d=\sqrt{w^2 + l^2}$

The width is 10 cm and the length is 12 cm.

$d=\sqrt{10^2 + 12^2}$

$d \approx 15.62$

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

$A=\pi r^2$

The $r$ is the radius of the circle, to find radius from diameter we can divide the value by 2.

$r = \frac{d}{2}$

$r=\frac{15.62}{2}$

$r=7.81$

Let’s find the area now.

$A=\pi (7.81)^2$

$A \approx 191.625$

Find the area of rectangle.

$A=lw$

Length × Width.

$A = 12 \times 10$

$A=120$

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

$191.625-120$

$71.625 \approx 71.63$

5 0

2 years ago

PLZ help me ASAP its due in a couple of mins!!! :((((( which one is it??

vichka [17]

Answer:

hey bud its d

Step-by-step explanation:

3 0

2 years ago

3(m - n + 2) + 6 - m

julia-pushkina [17]

Step-by-step explanation:

8 0

2 years ago

The formula of the triagle

Feliz [49]

a+b+c divided by 2 :))))

7 0

3 years ago

Which ordered pair is a solution to the equation y=-2x+10

wolverine [178]

Are there any answer choices?

7 0

2 years ago

Read 2 more answers