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1 year ago

Find the slope of the line that passes through(5,7) and (7,6)

Mathematics

2 answers:

tekilochka [14]1 year ago

7 0

Answer:

Equation: y = -0.5x + 9.5.

katrin2010 [14]1 year ago

3 0

Answer:

-0.5 or -1/2

Step-by-step explanation:

The formula to find the slope of a line given two points if $\frac{y_2-y_1}{x_2-x_1}$ .

$\frac{(6)-(7)}{(7)-(5)}$
$\frac{-1}{2}$
$-0.5$

Therefore, the slope is -0.5 or -1/2.

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someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

Area of triangle ABD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

Area of triangle BCD

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

2 years ago

A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt

emmainna [20.7K]

Answer:

Step-by-step explanation:

given that a laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a) the probability that the battery life is at least 11.0 hours

$P(X\geq 11)\\\\=1-0.8667\\=0.1333$

(b) the probability that the battery life is less than 10.0 hours

= $P(X$

=97th percentile

= 11.844

d) The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

8 0

3 years ago

A family has two cars. The first car has a fuel efficiency of

Talja [164]

The first car consumed 21 gallons while the second car consumed 49 gallons. here is the how it's done.
for the first car gallons consumed is 15/50x70= 21 gallons
the second car consumed 35/50x70=49 gallons

8 0

2 years ago

Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?\

Yuliya22 [10]

Answer:

The directrix is y=6 and focus is (0,4)

The equation of the parabola is,

20-4y=x²

5 0

2 years ago

PLS HURRY ILL GIVE BRAINLIEST Which graph of ordered pairs shows a proportional relationship?

sp2606 [1]

Answer:

pretty sure is the first one

Step-by-step explanation:

a proportional relationship is a straight line that passes through the origin

8 0

2 years ago

Read 2 more answers