If a line has a slope of 4 and contains the point (-2, 5), what is its equation in
point-slope form?
O A +5=4(x-2)
OB. J-5= 4(x-2)
C. + 2 = 4(x-5)
O D.y-5=4(x+2)

Answer: (0, 1), (-1, -3)

Given two equation's:

Solve them simultaneously:

[tex]\sf 2x^2 + 6x + 1 = -4x^2 + 1[/tex]

[tex]\sf 2x^2 + 4x^2 = 1 - 1[/tex]

[tex]\sf 6x^2 + 6x = 0[/tex]

[tex]\sf 6x(x + 1) = 0[/tex]

[tex]\sf 6x = 0, \ x + 1 = 0[/tex]

[tex]\sf x = 0, \ x = -1[/tex]

(a) When x = 0,     y = −4(0)² + 1 = 1

(b) When x = -1,    y = -4(-1)² + 1 = -3

Solution: (x, y) → (0, 1), (-1, -3)

Answer:

System of equations

[tex]\large \begin{cases}y=2x^2+6x+1\\y = -4x^2+1\end{cases}[/tex]

To solve the given system of equations, use the substitution method:

[tex]\large\begin{aligned}2x^2+6x+1 & = -4x^2+1\\2x^2+6x+1+4x^2-1 & = 0\\6x^2+6x & = 0 \\6x(x+1) & = 0\\\implies x+1 & = 0 \implies x=-1\\\implies 6x & = 0 \implies x=0\end{aligned}[/tex]

Therefore the x-values of the solutions are:

        [tex]\large \begin{aligned}x & =-1\\x & =0\end{aligned}[/tex]

Substitute the found values of x into the second equation to find the y-values:

[tex]\large \begin{aligned}x & =-1 & \implies &-4(-1)^2+1 =-3 & \implies & (-1,-3)\\x & =0 & \implies & -4(0)^2+1 =1 & \implies & (0,1)\end{aligned}[/tex]

Therefore, the solutions of the system of equations are:

(-1, -3) and (0, 1)

Answer:

The standard form of the number will be written as 63 158

Answer:

D.) 7 and -4

Step-by-step explanation:

Coefficients are numbers placed directly before a variable.

(7) is a coefficient because it is placed before x².

(-4) is a coefficient because it is placed before x. The negative is included.

(6) is not a coefficient because it is not altering any variable through multiplication/division.

Answer:

13.2 Kilometers an Minute, or 220 Kilometers an Hour

Step-by-step explanation:

26,400 divided by 2 = 13.2 (Minutes) Divided by 60 = 220 (Hours).

Answer:

C and H

Explanation:

All others are not the same shape, they tend to be pointing in different directions.

Answer:

a c h g f

Step-by-step explanation:

The turtle that would most likely win the race is the turtle 7

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

Outcome   Frequency

2                    1

3                    2

4                    3

5                   4

6                   5

7                    6

8                    5

9                    4

10                   3

11                    2

12                    1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race

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Answer:

You count the cat's ears as the area of a right triangle, the middle as the area of a rectangle, and the cat's chin as the area of a semi-ellipse.

Answer:

[tex]\huge\boxed{\sf |AB|=10 \ units}[/tex]

Step-by-step explanation:

Coordinate of A = [tex](x_1,y_1)[/tex] = (-7,-6)

Coordinate of B = [tex](x_2,y_2)[/tex] = (1,0)

We will use distance formula to find the length of AB.

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB|=\sqrt{(1-(-7))^2+(0-(-6))^2} \\\\|AB|=\sqrt{(1+7)^2+(6)^2} \\\\|AB|=\sqrt{(8)^2+36} \\\\|AB|=\sqrt{64+36} \\\\|AB|=\sqrt{100} \\\\\boxed{|AB|=10 \ units}\\\\\rule[225]{225}{2}[/tex]

The commission on the sales will be $118.2.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%

The commission amount will be:-

7.5 % of $1576 will be calculated as:-

Commission = 1576 x 0.075

Commission = $118.2

Therefore the commission on the sales will be $118.2.

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The bearing of point A from point B is 223°.

We have given that,

The bearing of point B from point A is 043°.

We have to determine the bearing angle,

Suppose that we have the angle BAD=43 degrees.

So angle CBA=43 degrees.

A bearing is an angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing.

For example, 30° clockwise from the north is usually written as 030°.

Angle EBA= 180+∠CBA

=180°+43°

=223°

Therefore the bearing of point A from point B is 223°.

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Answer:

200

Step-by-step explanation:

20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200

Answer:

200

Step-by-step explanation:

40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20

it would help to set up proportions like:

40    20

/    =  

x      100

and cross multiply and divide.

The explicit formula of the function d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]

The function is given as:

d(1) = 2.7

d(n) = d(n-1) x (6.1)

The above means that the function is an exponential function, and it has the following parameters:

First term, d(1) = 2.7

Common ratio, r = 6.1

The explicit formula of an exponential function is:

[tex]d(n) = d(1) * r^{n-1[/tex]

So, we have

[tex]d(n) = 2.7 * 6.1^{n-1[/tex]

Hence, the explicit formula of d(n) is [tex]d(n) = 2.7 * 6.1^{n-1[/tex]

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Answer:

The answer is C

Step-by-step explanation:

Irregular polygons are polygons with unequal sides and angles.

Answer:

26

Step-by-step explanation:

Angles that form a linear pair are supplementary, and thus have measures that add to 180 degrees.

4x+3+2x+21=180

6x+24=180

6x=156

x=26

The better deal based on the information is mortgage A as it's cheaper.

From the information given, the loan amount for mortgage A will be:

= 3% × $4500

= $135

The loan amount for mortgage B will be:

= 6% × $7500

= $450

From the information, the better deal is mortgage A.

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The volume of each individual brick is 72 cubic inches.

The volume of a rectangular prism of height H, width W, and length L is given by:

V = L*H*W

In this case we have:

Then, replacing these in the volume equation, we get:

V = (8 in)*(4 in)*(2.25 in) = 72in³

So the correct option is the second one.

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Answer:

The volume of each individual brick is 72 cubic inches.

Step-by-step explanation:

How to get the volume of each brick?

The volume of a rectangular prism of height H, width W, and length L is given by:

V = L*H*W

In this case we have:

L = 8in

W = 4in

H = 2.25 in

Then, replacing these in the volume equation, we get:

V = (8 in)*(4 in)*(2.25 in) = 72in³

So the correct option is the second one.

Answer:

9 hr * 60 min/hr = 540 min. 540 min * 60 sec/min = 32,400 sec. Use the method described by panic mode: round the number down until there is only one non-zero digit left. Here, 32,400 rounds down to 30,000. Now count the number of zeroes; the result is the order of magnitude: 4. (You see this in scientific notation also: 30,000 = 3 × 10^4.)

Answer: undefined

Step-by-step explanation:

The slope of a vertical line is undefined because there is no rise/run and the slope formula would give you something over 0, which is undefined

Answer:

undefined

Step-by-step explanation:

the slope of the line graphed (a vertical line) is undefined.

No matter how large we set out slope, we will never reach a vertical slope. As we approach infinity, we will get closer, and closer, but we can never fully have a slope of a vertical line.

A slope of 1 means that we move up 1, over 1. A slope of 2 means that we move up 2, over 1. Even if we move up 5000, we still move over at least slightly (with a slope).

It is undefined because it does not run horizontally.

The name of the Platonic Solid shown below is a Hexahedron. Option D is correct.

A polyhedron with an identical number of faces meeting at each vertex as well as all congruent uniform polygonal faces is referred to as a platonic solid.

In the image attached, the polyhedron has 6 faces with 3 squares in each vertex. Therefore, we can conclude that the platonic solid is a hexahedron.

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Answer: Sally has 16 friends

Step-by-step explanation:

she has 40 balls

subtract by how many she gave away

40-8=32

she gave 2 to each friend

divide the balls left by 2

32/2=16

Sally has 16 friends

Answer:

4 units

Step-by-step explanation:

formula

d = √(x2-x1)^2 + (y2-y1)^2

then fill in the spots

d = √(-5.4+5.4)^2 + (-5.5+9.5)^2

the subtraction sign became an addition sign due to it being a double negative

Hope this helped

Answer:

B: A square is a quadrilateral

Step-by-step explanation:

Answer:

f(-2) = 14

Step-by-step explanation:

put -2 where x is

f(x) = 3x²-x

f(-2) = 3(-2)²-(-2)

f(-2) = 3(4)+2

f(-2) = 12+2

f(-2) = 14

Answer:

x = - 3

Step-by-step explanation:

using the slope formula

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

with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-4}{-3-x}[/tex]

since m is undefined, then the denominator must be zero, since division by zero is undefined , then equating the denominator to zero

- 3 - x = 0 ( add 3 to both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

The equation for the scatter plot will be,y=3x+15. Scatter plots are essential for determining relationships, if any, between the values of observable quantities or occurrences.

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection,

if any, between the values of observed quantities or events, scatter plots are crucial in statistics.

The equation of the trend line for the scatterplot below will be y=3x+15.

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Answer:

Step-by-step explanation:

(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope

y - 5 = 5/19(x + 19)

y - 5 = 5/19x + 5

y = 5/19x + 10