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2 years ago

Determine the slope of the line that contains the given points J(-5, -2), K(5, −4)

Mathematics

2 answers:

Irina-Kira [14]2 years ago

4 0

Answer:

$-\frac15$

Step-by-step explanation:

Hello!

We can utilize the slope formula to find the slope.

Slope Formula: $S = \frac{y_2-y_1}{x_2-x_1}$

Remember that a coordinate is written in the form (x,y)

<h3>Find the Slope</h3>

$S = \frac{y_2-y_1}{x_2-x_1}$
$S = \frac{-4-(-2)}{5-(-5)}$
$S = \frac{-2}{10}$
$S = -\frac15$

The slope of the line is $-\frac15$ .

ioda2 years ago

3 0

Answer:

-1/5

Step-by-step explanation:

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - (-2)) / (5 - (-5))

Simplify the parentheses.

= (-4 + 2) / (5 + 5)

= -2 / 10

Simplify the fraction.

-2/10

= -1/5

This is your slope.

Learn with another example:

brainly.com/question/13166606

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Find the area of the shaded region.

luda_lava [24]

Answer:

The area of the shaded region is $11.6\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector of circle of angle 68.9 degrees minus the area of the isosceles triangle

step 1

Find the area of sector of the circle

The area of circle is equal to

$A=\pi r^{2}$

assume

$\pi =3.14$

$r=9.28\ cm$

substitute

$A=(3.14)(9.28)^{2}$

$A=270.41\ cm^{2}$

Remember that the area of a circle subtends a central angle of 360 degrees

using proportion Find out the area of a sector with a central angle of 68.90 degrees

Let

x -----> the area of a sector

$270.41/360=x/68.90\\\\x=68.90*270.41/360\\\\x=51.75\ cm^{2}$

step 2

Find the area of the isosceles triangle

Applying the law of sines

The area is equal to

$A=(1/2)r^{2}sin(68.90)$

we have

$r=9.28\ cm$

substitute

$A=(1/2)(9.28)^{2}sin(68.90)=40.17\ cm^{2}$

step 3

Find the area of the shaded region

$51.75-40.17=11.58\ cm^{2}$

Round to the nearest tenth

$11.58=11.6\ cm^{2}$

3 0

3 years ago

The endpoints of jk are j(–25, 10) and k(5, –20). what is the y-coordinate of point l, which divides jk into a 7:3 ratio

Trava [24]

The correct answer for this question is this one: <span>(-4, -11)
</span>In order to solve this,

Let k1 = 7/10 = fraction of the first part
Let k2 = 3/10 = fraction of the second part

Then, use solve for x and y

x = (k1(x2) +k2(x1)) / (k1+k2)
y = (k1(y2) +k2(y1)) / (k1+k2)

x = (7/10 * 5 + 3/10 * -25) / (7/10 + 3/10 )
<span>x = -8 / 2
x = -4

y = (7/10 * -25 + 3/10 * 10) / (7/10 + 3/10)
y = -14 + 3
y = -11

Hope this helps answer your question. Have a nice day!</span>

4 0

4 years ago

Read 2 more answers

The formula S = A((1+r)t+1−1r) S = A 1 + r t + 1 - 1 r models the value of a retirement account, where A = the number of dollars

tatiyna

So this is how you will arrive to the answer:

The following formula models the value of a retirement account,

S = (A [ ( 1 + r ) ^ (t + 1) - 1] / r)

wherein:

A = number of dollars added to the retirement account (each year)

r = annual interest rate

s = value of the retirement account after t years

The question is:

If the interest rate is 11% then how much will the account be worth after 15 years if $2200 is added each year?

Round to the nearest whole number.

Solution:

The said formula contains the term t + 1 instead of the usual "t". Means that the formula applies only in the situation where the money is invested at the beginning of the year instead of the usual practice at the end

Given:

A = 2200
r = 0.11
t = 15

The accumulated amount:
F = A ((1 + r) ^ (t+1) - 1 / r

Substitute:

F = 2200 (1.11 ^ (15 + 1 ) - 1) /0.11
F = 86217.88664

If money is invested at the end of the year, then F = 80476.49, the difference being the investment of an extra 2200 over 15 years.

4 0

3 years ago

Read 2 more answers

PLEASE ANSWER FAST I WILL GIVE BRAINLIEST

ANTONII [103]

Answer: 10 units²

Step-by-step explanation:

We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.

We can get each triangle's area using the formula $A = \frac{1}{2}bh$