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3 years ago

What is the equation in point-slope form of the line that passes through the point (-4, 5) and has a slope of 23?

Mathematics

2 answers:

Mice21 [21]3 years ago

8 0

Answer:

The answer is

$\huge y - 5 = 23(x + 4) \\$

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the points are (-4, 5) and a slope of 23

We have the final answer as

$y - 5= 23(x + 4)$

Hope this helps you

algol133 years ago

5 0

Answer:

hi how r u

Step-by-step explanation:

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In three hours, manufacturer z can make b ball bearings. manufacturer y can make b ball bearings in 4 hours. manufacturer x can

nekit [7.7K]

Each hour,
x makes b/6 bearings
y makes b/4 bearings
z makes b/3 bearings

Together, each hour, x, y and z together make
b/6+b/4+b/3=b(1/6+1/4+1/3)=b(2/12+3/12+4/12)=b(3/4)=3b/4 bearings.

Time to make b bearings =
b/(3b/4)=4/3 hours = 1 hour 20 minutes.

4 0

3 years ago

What is 2\20 divided by 2

Valentin [98]

$\frac{2}{20} \div 2 \\ \\ \frac{1}{10} \div 2 \\ \\ \frac{1}{10} \times \frac{1}{2} \\ \\ \frac{1 \times 1}{10 \times 2} \\ \\ \frac{1}{20} \\ \\$

The final result is: 1/20 or 0.05.

3 0

3 years ago

If 20 were added to each of the vlaues in a data set that originally had a standard deviation of 8, the standard deviation of th

Nitella [24]

Answer:

False (I assume it's a true/false question)

Step-by-step explanation:

Standard deviation measures how spread out the data is. If you add 8 to all the data values, the distribution of data moves to the right (on a graph) 8 units. The shifted data are no more and no less spread out than before. The standard deviation does not change.

3 0

3 years ago

Can someone please tell me the answer on this.

marishachu [46]

Answer: x = 31

Step-By-Step:

To Find x:

$\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180$ (Angle Sum Property Of Triangles)

(Remove the brackets)

$2x+20+x+10+2x-5=18$

(Group Accordingly)

$2x+x+2x+20+10-5=180$

= $5x+20+10-5=180$

= $5x\:+\:25$ $=180$

= $5x= 180 - 25$

= $5x = 155$

= $x=\frac{155}{5}$

= $31$

Therefore x = 31

So,

Angle A = x + 10 = 31 + 10 = 41

Angle B = 2*x + 20 = 2*31 + 20 = 82

Angle C = 2*x - 5 = 62 - 5 = 57

5 0

2 years ago

What is the surface area of a rectangular prism? length : 3 width : 3 height = 5

elixir [45]

Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area.
This surface area of this rectangle prism is 78.

4 0

3 years ago