What is the area of the triangle in the coordinate plane?


36 units²

38 units²

66 units²

72 units²

Step-by-step explanation:

[tex] \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} [/tex]

[tex] \frac{y - ( - 1)}{9 - ( - 1)} = \frac{x - ( - 2)}{3 - ( - 2)} [/tex]

[tex] \frac{y + 1}{ \cancel{10}} = \frac{x + 2}{ \cancel{5} }[/tex]

[tex] \frac{y + 1}{2} = \frac{x + 2}{1} [/tex]

[tex]1.(y + 1) = 2.(x + 2)[/tex]

[tex]y + 1 = 2x + 4[/tex]

[tex]y = 2x + 4 - 1[/tex]

[tex]y = 2x + 3[/tex]

Answer:

16 blue, 11 yellow, and 4 red

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to picture

Added angles a and b as interior angles of same triangle with angle x to make solving simple.

Angle a is same as 42° since both angles intercept same arc AB.

Angle b is supplementary with 64° angle as linear pair

Some of the interior angles of a triangle is 180

The coordinate s (-4, 1) is lying on the 180 degrees of the vertex R.

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

There are four coordinates are given

P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)

Point S is just lying about 180 degree to the vertex R so the coordinates will be S ( -4,1)

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Answer:

y = 3x + 5

Step-by-step explanation:

y = mx + b (slope-intercept form)

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )  (point-slope form of linear equation)

~~~~~~~~~~~~~~~

Step-by-step explanation:

here you go hopw it helps you

Answer:

B. AA similarity postulate

The relationship between angle A and angle B is supplementary angles.

∠A  = 2(5) + 40 = 50 degrees

∠B = 5 + 125 = 130 degrees

Supplementary angles are angles that sum up to 180 degrees. The sum of the two angles for a supplementary angles is 180 degrees .

Therefore, the relationship between angle A and angle B is supplementary angles.

Therefore,

∠A + ∠B = 180 degrees

∠A  = 2x + 40

∠B = x + 125

2x + 40 +  x + 125  = 180

2x + x + 40 + 125 = 180

3x + 165 = 180

3x = 180 - 165

3x = 15

x = 15 / 3

x = 5

Therefore,

∠A  = 2(5) + 40 = 50 degrees

∠B = 5 + 125 = 130 degrees

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The amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formula for calculating compound interest is expressed as;

A = P(1 + r/k)^(k*t)

Where A is final amount, P is initial principal balance, r is interest rate, k is  number of times interest applied per time period and t is number of time periods elapsed.

Given that;

A = P(1 + r/k)^(k*t)

A = 40500(1 + 0.038/1)¹ˣ²⁰

A = 40500 × (1.038)²⁰

A = 40500 × 2.10837

A = $85389

Therefore, the amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

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Answer:

x € R

Step-by-step explanation:

In mathematics, every expression

divided by itself is equal to one

For this expression For every value that will be replaced by x will be equal to one

Answer: 2277 Newtons

Step-by-step explanation:

I will show you how to do this the Physics way, so first we must write down our given values.

gravitational field = gravity = 25.3 N/kg

Mass of the astronaut = 90kg

Fun fact: know that if you convert the Newtons to a different unit, Newtons = kg (m/s^2) so we can say that instead of N/kg, we can write it as m/s^2 because if we divide kg(m/s^2) with kg, you’ll end with m/s^2

If you’re in physics, we always work with m/s^2 for every acceleration that exists. So we basically have 25.3 m/s^2 for gravity.

To find the weight, we can use the F=ma formula but rewritten as Weight = mass * gravity

Weight = (90kg)(25.3 m/s^2) = Option D = 2277 Newtons

Answer:

120ft

Step-by-step explanation:

Answer:

The cross section is a trapezoid.

Step-by-step explanation:

Answer:

yes

the area of a circle is πr^2

A=πr^2

which means the area of a circle is dependent on the size of the radius of the circle.

Take for instance, the radius is 3cm and π= 3.142

A = 3.142×(3^2)

A = 28.278cm^2

Another example, if the radius of the circle is increased to 4cm, what will be the area.

A = 3.142×(4^2)

A = 50.272cm^2

Answer:

√10z^3(z - 1)(z + 1).

Step-by-step explanation:

The GCF is √10z* z^2

= √10z^3

So factoring we get

√10z^3(z^2 - 1)           The expression in brackets is difference of 2 squares so:

= √10z^3(z - 1)(z + 1)

Answer:

100 packages

Step-by-step explanation:

If 5 packages out of 100 are incorrect , then there's a 1/20 chance that a package has an incorrect weight

Therefore out of 2000

it's

[tex] \frac{1}{20} \times 2000 = 100[/tex]

Hope it helps

Sorry I'm not really good at explaining

Answer:

x-2

x+9

Step-by-step explanation:

Answer:

[tex]\frac{x-2}{x+9}[/tex]

Step-by-step explanation:

Factorizing Fraction 1

Factorizing Fraction 2

Now, multiply the fractions :

Answer:

Step-by-step explanation:

Given equation

Variables cancel and the equation simplifies as

Since we got both sides equal, it doesn't change with any value of x.

It means the equation has infinitely many solutions.

It has infinite solution

Answer:

Your answer is in the Picture.

Step-by-step explanation:

Visit cymath is you want to factor polynomial or simply for you.

⇒ open circle at (-2, 5) with a line to the left

⇒ closed circle at (-2, 3) with a line segment to an open circle at (0, 3)

⇒ closed circle at (0, 0) with a line segment to an open circle at (2, 0)

⇒ closed circle at (2, -3) with a line to the right

Answer:

congruent and parallel those are two of them i dont know the other 2 sorry

Step-by-step explanation:

Answer:

y = -0.2x+ 0.8

Step-by-step explanation:

If a line is perpendicular to another line then the slope of the line = the negative reciprocal of the other line

Here Line AB has the equation y = 5x - 1. Here slope = 5
This comes from the fact that if a line has the equation y= mx + c then the slope = m and the y intercept = c

If XY is the line perpendicular to AB then its slope = -1/5. Let the y intercept of XY be c

Then equation of line XY is: y = (-1/5)x + c = -0.2x + c (1)

Since it passes through (-1, 1) ie through x = -1, y=1, substitution these values into the above equation (1), we get

1 = (-0.2)(-1) + c or

1 = 0.2 + c or  

c = 0.8

Answer:

See below ~

Step-by-step explanation:

The functions which have a range ≥ -1 :

The first function (according to the attachment) is not part of this because on applying any value for x, it will be either less than or equal to -1.