what is an equation of the line that passes through the points (-4,-7) and (2,8)

Answer:

.49 if you're dividing them.

Step-by-step explanation:

Answer:

4³

Step-by-step explanation:

using the rules of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

then

4² × [tex]4^{4}[/tex] / 4³

= [tex]4^{(2+4)}[/tex] / 4³

= [tex]4^{6}[/tex] / 4³

= [tex]4^{(6-3)}[/tex]

= 4³

Answer:

the first one

Step-by-step explanation:

Step-by-step explanation:

2x-10x+6=4x-6

2x-10x-4x=-6-6

-12x=-12

x=1

Answer:

Leading coefficient: 2

Exponential term: 2x⁵

Hope this helps.

Answer:

2 and ^5

Step-by-step explanation:

cause the coefficients are the bigger numbers in the beginning

Answer:yes

Step-by-step explanation:

Answer: The midpoint is 1/2

Step-by-step explanation: The formula we are using for this problem is (x1+x2/2, y1+y2/2) I substitute the points for the equation and it looked likes this (-1-6/2)(5-8/2) and got 5/2-3/2 and the final answer is 1/2!

Hope this helped C:

Answer:

( -3 1/2, -1 1/2)   or as a desimal (-3.5, -1.5)

Step-by-step explanation:

Brainliest please

Answer:

4:25 I think

Step-by-step explanation:

just added them all up I don't know if that's what you needed yho

Answer:

15:85 or 4:25

Step-by-step explanation:

jfhfjfjfjfjfndndndndndjdjfjfnnfjfjdjfjfjf

Step-by-step explanation:

this is practically a cylinder.

the volume of a cylinder is

ground area × height = pi×r² × height.

r being the radius (half of the diameter).

so, we have here

V = pi×10² × 13 = pi × 100 × 13 = 1300pi =

= 4,084.07045... cm³

1 liter = the content of a cube with 10 cm side length.

10×10×10 cm³ = 1000 cm³ = 1 liter.

the pan has a volume of 4,084.07045... cm³, so, yes, it has the capacity of 4 liters as 4×1000 cm³ (and a little bit extra).

60 percent of the original price is saved if the futon bed is purchased.

The original price of the futon bed is $500

The new price is $200

The first step is to calculate the price change

Price change= 500-200

= 300

The amount saved can be calculated as follows

300/500 × 100

= 0.6 × 100

= 60

Hence 60 percent of the original price which is $500 will be saved

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Answer:

12 yd

Step-by-step explanation:

Since the questions says "assuming that all intersecting sides meet at right angles" means that this shape is made up of 2 rectangles :

So Opposite 16 yd should be the 4 yd at the bottom + missing side

So the answer is 12 yd

Hope this helped and you understood and have a good day

The greatest common factor of 9ab², 108ab³ is 9ab².

The factor of a number is the number that divides a number evenly; without any remainders. The factors of a number can either be positive or negative. For example, a factor of 10 is 2. This is because 10 divided by 2 is 5. 2 divides 10 evenly.

The greatest common factor is the highest factor that is common to two or more numbers. The highest common factor of 10 and 20 is 10. This is because it is the greatest common factor that is common to both numbers.

Factors of  9ab², 108ab³ = 3ab², 9ab²

The greatest common factor = 9ab²

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Answer: The reason that you would use addition to check subtraction is because it is the easiest, fastest, and most reliable way to check your subtraction problem.

Step-by-step explanation:

for example. you do something like: 42 - 19 = 23

you just add 19 and 23. if you get 42 then that means your answer if correct.

hope it helps

Answer:

8 gallons

Step-by-step explanation:

For the given maximization problem there is  no the point in the feasible region which maximizes objective function C = 7x -3y.

A feasible region in any optimization problem is the collection of all the points where all the given constraints are satisfied.

For maximization problem, we will use the corner points of the feasible region and then we will check that on which corner point the objective function is maximum.

Given problem is:

Maximize Objective function C = 7x-3y

When the constraints are  (i) x≥0 , (ii) y≥0 , (iii) -x+5 ≤y

(iv) y ≤ (1/3)x +1

We will graph these constraints and  find the common shaded area.

x≥0,y≥0 represents that the point is in 1st quadrant

For -x+5 ≤y, we will use -x +5 =y

When x= 0 then y=5  and when y=0 then x=5 , then -x +5 =y is a line passing through (0,5) and (5,0)

and on putting (0,0) in -x+5 ≤y we get 5≤0 which is a false statement .

Therefore -x+5 ≤y is region starting with line -x +5 =y and going in direction to opposite to that of (0,0)

For y ≤ (1/3)x +1, we will use y = (1/3)x +1

When x= 0 then y=1  and when y=0 then x=-3 , then y= (1/3)x +1 is a line passing through (0,1) and (-3,0)

and on putting (0,0) in y ≤ (1/3)x +1 we get 0≤1 which is a true statement .

Therefore, y ≤ (1/3)x +1 is region starting with line y = (1/3)x +1 and going in direction of (0,0).

Thus we got the feasible region as shaded in the below attached figure.

The shaded area is unbounded , therefore no point of maximum exist on the feasible region.

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Probability is the measure of the likelihood that an event will occur in a Random Experiment.  The probability of selecting a senior from non geography is 0.1132

Probability is the measure of the likelihood that an event will occur in a Random Experiment

Given

                      Geography Majors           Non Geography Majors

Freshmen               15                                          14

Sophomores             11                                          16

Juniors                     13                                         11

Seniors                      14                                         12

The  total number of students are 106

The number of seniors in non geography is 12

So probability of selecting one senior from 106 is 12/106

Probability(senior of non geography)=12/106=0.1132

Therefore required probability is 0.1132.

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Answer:

1x - 19683

Step-by-step explanation:

(I have to assume you meant to simplify the equation)

27 to the third power can also be written as: 27 * 27 * 27

That equals 19683

So the equation would be: 1x - 19683

Answer:
The two shapes are similar, therefore, [tex]\frac{\text{KJ}}{\text{WZ}} = \frac{\text{JM}}{\text{YZ}}[/tex]

[tex]\frac{12}4 = \frac6n\\\to 3n = 6\\\to n =2[/tex]

The side length YZof a trapezoid WXYZ will be 2 cm.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The side lengths are given as:

JK = 12 cm

MJ = 6 cm

WX = 4 cm

WZ = n cm

From the diagram, the trapezoid JKLM is similar to the trapezoid WXYZ.

If the two polygons are similar then the ratio of the corresponding sides of the polygon is constant. The ratios are written as,

JK/WX = KL/XY = LM/YZ = MJ/ZW

JK/WX = MJ/ZW

12/4 = 6/n

3 = 6/n

n = 6/3

n = 2

The side length YZof a trapezoid WXYZ will be 2 cm.

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When you subtract a constant from y = x², the following happens to the graph: C. graph moves DOWN.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, the graph of any quadratic function is parabolic because it is a u-shaped curve. For the given quadratic function, the graph is a upward parabola because the coefficient of x² is positive.

In conclusion, when a constant is subtracted from y = x², we can reasonably infer and logically deduce that the graph moves down as shown in the image attached below.

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Complete Question:

When you subtract a constant from y = x²  what happens to the graph? Eg  y = x² - 2

answer choices

Graph moves UP

Graph moves to the RIGHT

Graph moves DOWN

Graph moves to the LEFT

The property which equality 2 demonstrate is: d. Associative property of multiplication.

The associative property of multiplication states that when three (3) numbers are multiplied, the end result (output) would always be the same regardless of the way the numbers are arranged (grouped).

This ultimately implies that, the associative property of multiplication suggest that the way in which factors are arranged (grouped) when multiplying three (3) numbers does not change the product.

Mathematically, the associative property of multiplication can be represented by this expression:

(a × b) × c = a × (b × c)  ≡ (8 × 5) × 6.75 = 8 × (5 × 6.75)

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Answer:

n = -4

Step-by-step explanation:

let the number = n

eight less than = .... minus 8

five times a number =n * 5

eight less than five times n = n * 5 minus 8 = n*5 -8

is means equal to

four more than = .... plus 4

eight times the number = n* 8

four more than eight times the number = n*8+4

n*5-8 is n*8 +4

n*5-8=8n+4

subtract 5n from both sides to put all variables and coefficients on one side

-8 = 3n + 4

subtract 4 from both sides to isolate the variable and coefficient

-12 = 3n

divide both sides by 3 to get n

n = -4

The volume of the figure in the nearest hundredth is 67 mi³

The formula for determining the volume of a sphere is expressed as;

Volume = 4/ 3 πr³

Where;

To determine the volume, we have to substitute the values of the parameters into the formula

Volume = 4/ 3 × 3. 14 × (4)²

Find the value of the square

Volume = 4/ 3 × 3. 14 × 16

Multiply through

Volume = 200. 96/ 3

Find the quotient

Volume = 66. 98

Volume = 67 mi³

Thus, the volume of the figure in the nearest hundredth is 67 mi³

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Check the picture below.

The solution is, the combined volume of the boxes is 180 unit cube.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

from the given diagram, we get,

there is two boxes in the diagram.

now, we have to find the combined volume.

here, we get,

the boxes are cuboids.

we know that,

Volume of  cuboid = length * width * height

V = l*w*h

here, we get, from the figure,

for 1st box, l = 3, w = 5 , h = 8

so, V  = 3 * 5 * 8 = 120

and, for 2nd box, l = 4, w = 5, h = 3

so, V = 4*5*3 = 60

we get, the combined volume 120 + 60 = 180

Hence, The solution is, the combined volume of the boxes is 180 unit cube.

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a. The stand form is f(x) = x^3 - 13x - 12

degree = 3

constant term = - 12

b. The stand form is g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

Given data

f(x) = (x + 1)(x+3)(x-4)

g(x) = 3(x + 1)(x+3)(x-4)

for f(x) = (x + 1)(x+3)(x-4) we have

f(x) = (x + 1)(x+3)(x-4)

f(x) = ( x + 1 ) ( x^2 - 4x + 3x - 12 )

f(x) = (x + 1) ( x^2 - x - 12 )

f(x) =  x^3 - x^2  - 12x +  x^2 - x - 12

f(x) = x^3 - 13x - 12

degree = 3

constant term = -12

g(x) = 3(x + 1)(x+3)(x-4)

g(x) = 3(x + 1) ( x^2 - 4x + 3x - 12 )

g(x) = 3(x + 1) ( x^2 - x - 12 )

g(x) = 3 (  x^3 - x^2  - 12x +  x^2 - x - 12 )

g(x) = 3 ( x^3 - 13x - 12 )

g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

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