What is the y-intercept of the line y=4x-3?

Answer:

[tex]a=12\text{ or } -4[/tex]

Step-by-step explanation:

The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

[tex]10=\sqrt{(a-4)^2+(5-(-1))^2}[/tex]

Solve for a. Square both sides and simplify:

[tex]100=(a-4)^2+(6)^2[/tex]

Simplify:

[tex]64=(a-4)^2[/tex]

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

[tex]\pm\sqrt{64}=\pm8=a-4[/tex]

Solve for a:

[tex]a-4=8\Rightarrow a=12\text{ or } a-4=-8\Rightarrow a=-4[/tex]

So, our two possible points are (12, 5) or (-4, 5).

Answer:

sin A = [tex]\frac{12}{37}[/tex]

Step-by-step explanation:

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{37}[/tex]

Answer:

C = 25 + 3n

Step-by-step explanation:

Andre has a summer job selling magazine subscriptions.

We are told that:

Andy earns $25 per week plus $3 for every subscription he sells.

Let us represent

C = Total amount of money he makes this week

n = the number of magazine subscriptions Andre sells this week.

Hence, Our Algebraic expression =

C = $25 + $3 × n

C = 25 + 3n

Answer:

100 cm

Step-by-step explanation:

This is a linear function with an equation of y = 20x.

Plug 5 in for x to get 100 as your answer.

Answer: 100 cm

Step-by-step explanation: Since the car can travel 20 cm per second and it traveled 80 cm in 4 sec, then it can travel 100 cm in 5 seconds

(Tip: If it asks to show your work, try drawing a ratio table and write the centimeters it travels per second .)

Answer:

IT'S (x+9)(x-9)

Step-by-step explanation:

Answer:

1224.05

Step-by-step explanation:

formula:

PV(e^(it))

550*e^(.04*20)=1224.0475 which rounds to 1224.05

Answer:

D) 7x+5

Step-by-step explanation:

hope it helps.

Answer:

[tex]D) 7x + 5[/tex]

Step-by-step explanation:

[tex]2(2x+1)+3x+3[/tex]

[tex]2(2x)+2 \times 1+3x+3[/tex]

[tex]4x+2 \times 1+3x+3[/tex]

[tex]4x+2+3x+3[/tex]

[tex]7x+2+3[/tex]

[tex]7x+5[/tex]

Answer:

Min: 1

Q1: 2.75

Med: 12.5

Q3: 8.25

Max: 19

Step-by-step explanation:

Answer:

this just helped me so much

Step-by-step explanation:

Omg ilysm and thank you for spreading such positivity Muaahhh<3

Answer:

they look like their curved at about  70? 65? and they would be the same

Step-by-step explanation:

Answer: Both C and D are 76

Step-by-step explanation:

Because this is a isosceles triangle both C and D are the same. Subtract 28 from 180 and you get 152. So D and C combined equals to 152 so divide that by 2 an you get 76.

Answer:

x=44 and y=21

Step-by-step explanation:

The large one is x

The small one is y

According to given conditions,

x+y=65[Sum of two number is 65]—Equation(1)

x-23=y [Smaller number is less than 23 than larger]——Equation (2)

From equation (2) we can write,

x-y=23——-Equation(3)

Now adding equation (1) and (3) we get,

x+y+x-y=65+23

=>2x=88

=>2x/2=88/2 [Both sides are divided by 2]

=>x=44

Now putting the values in equation (2) we get,

44–23=y

=>y=21

Large, x=44 and Small, y=21

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

Answer:

False

Step-by-step explanation: 5x3 is 15 and 25 is greater than 15 so the inequality is false.

Answer:

x ={-3, -4, -5 , -6, -7, ...}

Answer:

(x-2) (x+2)

Step-by-step explanation:

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

Answer:

Yes it is

Step-by-step explanation:

Because 4 ×-2=-8

Answer:

2 blocks

Step-by-step explanation:

if you go from zero to -3 on the number line and then go to the right by 5 units, you wind up at 2

Answer:

Lines of latitude run in horizontal parallels and represent distance north or south from the equator, measured in an angle from the centre of the Earth. The equator represents 0° and each pole represents 90°

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Use the sight line on the top of the aiming beam to align the beam with the North Star. Use the protractor to measure the angle between the beam and the horizon (which is 90º to the plumb line). This angle is your latitude.

Answer:

6

Step-by-step explanation:

If you use the distance formula, which is [tex]\sqrt{(x_{2}-x_{1})+(y_{2}-y_{1})[/tex] and you plug everything in, you get 6.

Answer:

A. y ≥ 2x – 2

Step-by-step explanation:

Answer:

3x*59x=

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

The opposite angles of a parallelogram are equal, so 4x + 2 = 8x - 50. By subtracting 4x from both sides of this equation, we get that 2 = 4x - 50. Adding 50 to both sides yields 52 = 4x, and dividing by 4 gives us that x = 13.

By substituting this, we see that the measure of angle A is 4(13)+2, which is 54 degrees. Angle B is supplementary to angle A, so its measure is 180-54, which is 126 degrees.

Answer:

b

Step-by-step explanation:

sorry if it's not correct

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Answer:

the answer is B

Step-by-step explanation:

because it is in the form ax^2+bx+c

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

Answer:

32.9 degrees

Step-by-step explanation:

cos (x) = 21/25

cos^1 (21/25)

= 32.856 --> round to 32.9

Answer:

32.9°

Step-by-step explanation:

You can see that relative to the angle that is x, we are given the side lengths that are adjacent and the hypotenuse. The trig function associated with this is cosine, and we get:

cos(x) = adj / hyp --> 21 / 25

To find x as the angle, we use the function arccosine,

x = arccosine(21/25)

x = 32.85988038°

And this rounds up to 32.9°

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°