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3 years ago

Build a 5-digit number from the part

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

This how you digit the answer 5 10

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A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What

vladimir2022 [97]

Answer:

The perimeter of the triangle is $12\ units$

Step-by-step explanation:

Let

$A(-3,1),B(1,1),C(1,-2)$

we know that

The perimeter of triangle is equal to

$P=AB+BC+AC$

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

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

step 1

Find the distance AB

$A(-3,1),B(1,1)$

substitute in the formula

$AB=\sqrt{(1-1)^{2}+(1+3)^{2}}$

$AB=\sqrt{(0)^{2}+(4)^{2}}$

$AB=4\ units$

step 2

Find the distance BC

$B(1,1),C(1,-2)$

substitute in the formula

$BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}$

$BC=\sqrt{(-3)^{2}+(0)^{2}}$

$BC=3\ units$

step 3

Find the distance AC

$A(-3,1),C(1,-2)$

substitute in the formula

$AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}$

$AC=\sqrt{(-3)^{2}+(4)^{2}}$

$AC=5\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=4+3+5=12\ units$

6 0

3 years ago

Which function is odd? Check all that apply.

kvasek [131]

<em></em> $The\ function\ is\ odd\ if\ f(-x)=-f(x)\\\\We\ know:\\\sin x;\ \tan x\ and\ \cot x\ are\ odds.\\\cos x\ is\ even\ /\cos(-x)=\cos x/\\--------------------\\\\A.\ y=\sec x\\\\\sec(-x)=\dfrac{1}{\cos(-x)}=\dfrac{1}{\cos x}=\sec x-\fbox {NO}\\\\B.\ y=\sin x-\fbox{YES}\\\\C.\ y=\cot x\\\\\cot(-x)=\dfrac{\cos(-x)}{\sin(-x)}=\dfrac{\cos x}{-\sin x}=-\dfrac{\cos x}{\sin x}=-\cot x-\fbox{YES}\\\\D.\ y=\csc x\\\\\csc(-x)=\dfrac{1}{\sin(-x)}=\dfrac{1}{-\sin x}=-\dfrac{1}{\sin x}=-\csc x-\fbox{YES}$

6 0

4 years ago

Read 2 more answers

How do u express a ratio as a decimal

Viktor [21]

Perform the indicated division ... divide the numerator by the denominator.
The quotient is the decimal form of the ratio.

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3 years ago

7b minus 3 how do you say that question

Mumz [18]

Uhhhh... I think you just said it, elsewhere, 7 * b - 3

7 0

3 years ago

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Write the equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be

kvasek [131]

Answer:

y = 7x/8 - 53/8

Step-by-step explanation:

P(3,-4)

x = -7y/8 + 3

Isolate y and translate to slope-intercept form:

y = mx + b

x = -7y/8 + 3

x - 3 = -7y/8

8x - 24 = -7y

y = -8x/7 - 24/7

The slope of the equation is -8/7

The slope of the new equation will be perpendicular to the slope of the given equation which means it is the negative reciprocal.

y = mx + b where m = -1/(-8/7) = 7/8

y = 7x/8 + b

Plug in know values and solve for b:

-4 = 7(3)/8 + b = 21/8 + b

-4 - 21/8 = b

b = -32/8 -21/8 = -53/8

Plug in b into the equation:

y = 7x/8 - 53/8

7 0

3 years ago