Point A is located at (0, 4), and point C is located at (−3, 5). Find the x value for the point B that is located one-fourth the distance from point A to point C.

Answer:

(1,-5)

Step-by-step explanation:

4x + 2y = -6

-3x -2y = 7

in this case you can just add the two items together

x = 1

4(1) + 2y = -6

2 y = -10

y = -5

Answer:

Step-by-step explanation:

The question has asked who has taken fewer than 15 courses

There are 4 options that are fewer than 15: 10, 8, 8, 13

4/10  (10 is total number of options/students)

To find the percentage you...

Let's start with proving that side AB is parallel to side CD

First off, let's find the slope of line AB. So we'll use the slope formula.

[tex]A = (x_1,y_1) = (2,-1)\\\\B = (x_2,y_2) = (1,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{1 - 2}\\\\m = \frac{3 + 1}{1 - 2}\\\\m = \frac{4}{-1}\\\\m = -4\\\\[/tex]

The slope of AB is -4.

Now let's find the slope of line CD.

[tex]C = (x_1,y_1) = (6,5)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - 5}{7 - 6}\\\\m = \frac{-4}{1}\\\\m = -4\\\\[/tex]

The slope of CD is also -4.

Recall that parallel lines always have equal slope (but different y intercepts).

This proves that AB is parallel to CD.

--------------------------

We'll follow the same steps to show that AD is parallel to BC.

Find the slope of AD

[tex]A = (x_1,y_1) = (2,-1)\\\\D = (x_2,y_2) = (7,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - (-1)}{7 - 2}\\\\m = \frac{1 + 1}{7 - 2}\\\\m = \frac{2}{5}\\\\[/tex]

Now find the slope of BC

[tex]B = (x_1,y_1) = (1,3)\\\\C = (x_2,y_2) = (6,5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{5 - 3}{6 - 1}\\\\m = \frac{2}{5}\\\\[/tex]

We get 2/5 each time, so these lines are parallel as well.

--------------------------

In short, the first section shows that AB is parallel to CD. The second section proved that AD is parallel to BC.

Because we have two pairs of parallel opposite sides, we can say that ABCD is a parallelogram.

Edit: I have attached the diagram below.

Answer:

b,c

Step-by-step explanation:

The axis of symmetry is along the vertex

a has a vertex at x=1

b has a vertex at x = -1

c has a vertex at x=-1

d has a vertex at x =2

Explanation:

Notice how the vertical line through the center of these parabolas is at x = -1. In other words, the vertical line cuts through -1 on the x axis. Reflecting one half of the parabola over this line will result in the other half.

Answer:

156.7 mi

Step-by-step explanation:

Applying

Pythagoras theorem

a² = b²+c²............... Equation 1

Where c = distance to the earth horizon from point P

From the diagram in the question,

Given: a = (3959+3.1) mi = 3962.1 mi, b = 3959 mi

Substitute these values into equation 1

3962.1² = 3959²+c²

solve for c

15698236.41 = 15673681+c²

c² = 15698236.41-15673681

c² = 24555.41

c = √ 24555.41

c = 156.7 mi

Answer:

2. given

5. substitution

Step-by-step explanation:

that the perimeter is 12 is simply a given fact. in the same way as the shape of the object is defined as square.

nothing was calculated, this information is simply there at the beginning, is "given" to us.

step 5 simply takes step 3 and substitutes all sides by the same side, as (per definition) all sides in a square are equal. so, every side can stand in for every other side.

Answer:

A model is an estimate of a data set.

A useful model can be used to make predictions.

Step-by-step explanation:

There are various models used in mathematics which are used to predict variables. The regression model is used to predict the relation between two variables. There are various other models which help to predict the future events and outcome of these events.

Answer: b and d

Step-by-step explanation:

edge21/22

Answer:

5.1

Step-by-step explanation:

[tex]tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}[/tex]

0.4663 * 11 = x

x = 5.1293

x = 5.1

Answer:

ion even know

Answer: A

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

(2/3)^x-1=27/8

Rewriting the right hand side

(2/3)^x-1=(3/2)^3

We know that a^-b = 1/a^b  Hint: { 1/(3/2) = 2/3}

(2/3)^x-1=(2/3) ^-3

The bases are the same, so the exponents are the same

x-1 = -3

x -1+1 = -3+1

x = -2

Answer:

2 feet

Step-by-step explanation:

for area of a triangle it's (height times width) divided by 2, and 10 times 2 divided by 2 is 10

Answer:

Length of base of triangle = 2 feet

Step-by-step explanation:

Given:

Area of triangle = 10 square feet

Height of triangle = 10 feet

FInd

Length of base of triangle

Computation:

⇒ Area of triangle = (1/2)(Base)(Height)

⇒ 10 = (1/2)(Base)(10)

⇒ 10 = Base(5)

⇒ Length of base of triangle = 10 / 5

Length of base of triangle = 2 feet

as according to law if a number is multiplied at one side then it will be divide to other side

so

Step-by-step explanation:

plz mark me asbrain liest

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 – 9x

Add 9x to each side

x - 42+9x = 98 – 9x+9x

10x-42 = 98

Add 42 to each sid

10x-42+42 = 98+42

10x = 140

Divide by 10

10x/10 =140/10

x = 14

Answer:

36

Step-by-step explanation:

Number of points Fran won = points Fran had - points Calvin had

14 - (-22)

= 14 + 22

= 36

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The cost for purchase of 0 tokens is $60. This "initial value" is the y-intercept of the function.

The cost for each token is $1.00/10 = 1/10 (dollar), so the slope of the function is 1/10.

The slope-intercept form of the function can be written ...

  y = mx + b . . . . . for slope m and y-intercept b

  y = 1/10x + 60

__

The minimum value of this function is 60, so the range is y ≥ 60.

The function is defined for all real numbers, but only makes sense for all non-negative integers. So, we cannot claim the domain is all real numbers.

Answer:

(B, C, E)

Step-by-step explanation:

Let's evaluate each answer choice:

"The slope of the function is $1.00"

Wrong. The slope is how much one game token costs. It costs $1 per 10 tokens, not 1 token. To find the cost of 1 game token, you would divide 1 by 10, giving you a value of 1/10.

"The y-intercept of the function is $60"

Correct. The initial fee is $60, and this initial fee doesn't change, so it's the y-intercept.

"The function can be represented by the equation y = 1/10x + 60"

Correct. We just mentioned before that the slope is 1/10 and the y-intercept is 60.

"The domain is all real numbers"

Wrong. "All real numbers" also includes negative numbers. However, x represents the number of tokens bought, and you can't buy a negative amount of tokens.

"The range is {y| y >= 60}"

Correct. The range represents the total cost of a yearly membership. When you get the membership, you're ALWAYS going to have to pay $60, no matter how many tokens you buy after that.

Hope this helps (●'◡'●)

Answer:

1 is the wrong answer i dont know the answer plz help him

Step-by-step explanation:

sin X = 37/64

sin X = .578

X = sin ^-1 (.578)

X = 35.3°

hope it's correct

Answer:

B

Step-by-step explanation:

Answer:

isosceles triangle.

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

In isosceles triangle, two sides are equal and the angles opposite to these equal angles are also equal. The third side of the triangle is called base

Answer:

The answer is B because it's all real numbers since it won't stop

Step-by-step explanation:

The domain of the function shown is -∞ ≤ x ≤ +∞

The domain and range are the main characters of a function. The domain of a function is the inputs of the given function on the other hand the range signifies the possible outputs we can have.

Given is a graph we need to determine its domain,

We know,

The domain of a function represents the set of coordinates in the x-axis that belongs to the curve of the function itself. After a brief inspection, we see that function has an horizontal asymptote at y = 1, and no vertical asymptotes. Therefore, the domain of the function shown is -∞ ≤ x ≤ +∞.

Hence, the domain of the function shown is -∞ ≤ x ≤ +∞

Learn more about domain click;

https://brainly.com/question/28135761

#SPJ7

Explanation:

The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.

We'll follow this same idea for the y coordinates as well.

10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.

Therefore, the midpoint is (5,5).

Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.

Answer:

Perform a horizontal line test

Answer:

5•782×10^-5

Step-by-step explanation:

(5•9×10^4((9•8×10^5)

(59×10^-1×10^4)×(98×10^-1×10^5)

(59×98) (10^-1×10×4×10-1×10^5)

5782×10^-1+^4+^-1+^5

578×10^7

5•782×10^7-^2

5•782×10^-5

Thanks Hope It Help

Let’s start with the easy part: half of the base is 3.

Therefore, 3 x h + 1 = 18

3 x h = 3h and 3 x 1 = 3

3h + 3 = 18

To solve these equations, you have to do the inverse. First you would need to minus 3:

3h = 15

3h is a simpler way of saying 3 x h, so the inverse would be a divide.

h = 5

Answer:

Question 4:  [tex]y=\displaystyle -\frac{4}{5}x[/tex]

Question 5: [tex]y=-5x-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that pass through the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

[tex]\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}[/tex]

Therefore, the slope of the line is [tex]\displaystyle -\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex] as the slope (m):

[tex]y=\displaystyle -\frac{4}{5}x+b[/tex]

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into [tex]y=\displaystyle -\frac{4}{5}x+b[/tex]:

[tex]y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x[/tex]

Question 5

1) Determine the slope (m)

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

[tex]\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5[/tex]

Therefore, the slope is -5. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into [tex]y=-5x+b[/tex]:

[tex]y=-5x+(-3)\\y=-5x-3[/tex]

I hope this helps!

Answer:

D

Step-by-step explanation:

the slope of a line is simply the gradient given by the equation

y2-y1/x2-x1

x1 is 5, x2 is-5,y1 is 11 and y2 is -1

m=-1-11/-5-5

=-12/-10

=6/5