work out the gradient of a line which has a gradient of 2 and passes through the point (1,4).

Answers

Answer 1
y=mx+c
m is gradient so y=2x+c
y=4 when x=1 so 4 = 2 x 1 + c
so c =2
so y=2x+2

Related Questions

Find the volume of a cylinder with a radius of 3cm and a height of 7 cm.

Answers

Answer:

The volume of the cylinder ≅ 197.82[tex]cm^{2}[/tex]

Step-by-step explanation:

The volume of a cylinder is equal to the area of the base times the height. We know the radius, therefore we can find the area of the base. The formula for the volume of the cylinder is as follows:

V = π[tex]r^{2}[/tex][tex]h[/tex]

(now substitute the values of "r" and "h", and get...)

V = π[tex]r^{2}[/tex][tex]h[/tex]

[tex]V = (3^{2} )(7)[/tex] x π

V = (9)(7)π

V = 63π

V ≅ 197.82[tex]cm^{2}[/tex]

Find x and y in the given figure

Answers

Answer:

x= 70°, y=40°

Step-by-step explanation:

2x=140

x= 70

y= 180-140= 40

140 + y = 180

y = 180 - 140

y = 40

2x + 40 = 180 (Angle Sum Property)

2x = 180 - 40

2x = 140

x = 140/2

x = 70

X = 70

Y = 40

Help me please, thank you!

Answers

Answer:

8

Step-by-step explanation:

18-10=8 units

Answer:

 8

Step-by-step explanation:

The total height of the rectangle and triangle is given as 18

The height of the rectangle is given as 10 , then

height of triangle = 18 - 10 = 8

11) Help pls I have the answer I just need to show the work.

True or False. To find the missing side length in the diagram, use the Pythagorean Theorem.

Answer: A

Answers

True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).

To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.

23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601

I hope this helps!

PLEASE HELP ME PLEASEEEEE

Answers

Answer:

56.52 units³

Step-by-step explanation:

[tex]v = \pi {r}^{2}h[/tex]

r = 3 units ; h (height) = 2

V = 3.14 × 3² × 2

= 3.14 × 9 × 2

= 56.52 units³

A farmer grows x acres of peas and y acres of tomatoes. He has 12 acres available to plant peas and tomatoes. Write an inequality in x and y to satisfy this condition. The number acres of tomatoes planted must not be more then twice the number of acres of peas planted. Write an inequality in x and y to satisfy this condition.​

Answers

Answer:

Y < 2X

Step-by-step explanation:

Let the acres of land on which pea is to be cultivated is "X" acres and the acres of land on which tomato is to be cultivated is "Y"

It is given that number acres of tomatoes planted must not be more then twice the number of acres of peas planted

Thus, [tex]Y < 2X[/tex]

[tex]X + Y = 12[/tex] acres

[tex]Y = 12-X[/tex] acres

Thus,

[tex]12 - X \leq X\\12\leq 2X\\6 \leq X[/tex]

Let us take X = 6 , Then Y = 13-6 = 6

Find the AOS, vertex and sketch the parabola.
5) y=-x2 + 4x+3
vertex:
AOS:

Answers

I got

Vertex = (2,7)

A.O.S = X = 2

NEED HELP ASAP FREE BRAIN LIST

Answers

Answer:

9.8

Step-by-step explanation:

[tex]x^2 + 10^2=14^2\\x^2+100=196\\x^2=96\\\sqrt{x^2} =\sqrt{96} \\x=9.8[/tex]

Answer:9.1 or 10.1

Step-by-step explanation:

What is the value of the expression below?

256^1/4

A. 16
B. 8
C. 4
D. 64

Answers

Answer:

C

Step-by-step explanation:

256^1/4=4

So C is the right answer

Hope this helps :D

The answer is choice C. 4

A triangle has two angle measures of 20 degrees and 30 degrees. Find the third angle. This triangle is a(n) ________ triangle

Question 2 options:

A. acute


B. obtuse


C. right


D. it does not make a triangle

Answers

Answer:

Obtuse

Step-by-step explanation:

x = missing angle

20+30+x=180

50+x=180

x=130

90<130

Thus, the triangle is obtuse

What is congruent in this problem?

Answers

Answer:

Step-by-step explanation:

SVT and TVU

Hope that helps!

If you order 3 pizzas, you will get 18 slices of pizza. How many slices are there in one pizza?

Answers

Answer:

There are 6 slices on each pizza

Step-by-step explanation:

Because 18 divided by 3 is 6

Graph this: y = 2sIn(x) - 3

Insert picture of graph

Answers

Answer:

We have the function:

f(x) = 2*sin(x) - 3

To graph this type of functions is useful to understand the parts of the function.

A general one is written as:

g(x) = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency.

p is the phase

M is the midline.

Then in this case we have an amplitude of 2, an angular frequency of 1, a phase of 0 radians and the midline y = -3

Now we can evaluate the function in different points and (knowing how a sine function behaves) connect them, the graph will look something like this:

A woman is four times older than her daughter,eight years later their age bracket would be 74 and 18 respectively.What is their present ages

Answers

Answer:

Step-by-step explanation:

Solve the algebraic inequality. The product of -3 and a number is at least -24.​

Answers

Answer:

The first answer

Step-by-step explanation:

OK SO I PUT IT AS 117 DEGREES BUT IM NOT SURE IF ITS RIGHT SO CAN SOMEONE PLEASE CONFIRM FOR ME BEFORE I SUBMIT?

Answers

It’s correct.
39 x 3 =117
that’s wrong you terrible at this

Enter the value of ( – 8)(15)( - 1/2)
A
60
B
- 60
С
240
D
-240

Answers

Answer: A 60
Explanation

help me please i need to know which one is the answer tell me by the color please

Answers

Step-by-step explanation:

blue

What grade are you in? this is really easy!  you are definitely not a middle schooler, and forget high school . the reason you don't get this  is that you're wasting your time

playing  r 0 B I o x and  going on discord  now pull yourself together and study!!!

AND THATS ON PERIODT!!!

Find the value of x of given proportion.
18 : 24 : : x : 96

Answers

Answer:

72

Step-by-step explanation:

96 divided by 24 = 4

4 x 18 = 72

Answer: 128

Step-by-step explanation:

24/18 = x/96

x = 128

Find the most common factor of 120 and 300

Answers

Answer: 60

Greatest common factor of 120 = 60
And since 60 is also a common factor of 300 it is the greatest common factor of both numbers.

Hope this helps :)

Answer and Step-by-step explanation:

The most common (greatest) factor of 120 and 300 is 60.

60 goes into both of them, and it is the greatest number in there list of factors that would go into both of these numbers.

#teamtrees #WAP (Water And Plant)

SET of 3! Please help

Answers

Answer:

1. 24/40, 32/40, 24/32 (This is in order from top to bottom)

2. 21.1

3. 4.1

Step-by-step explanation:

1. Here, we only have to focus on Angle X.

Let's label in the sides:

Opposite = YZ = 24

Adjacent = XY = 32

Hypotenuse = XZ = 40

SOHCAHTOA simply means:  You can memorise this through the acrostic poem of - Slap On Head Causes A Headache Take One Aspirin, but I remember it by Suck A Toe because that's what it sounds like.

Sin(x) = Opposite/Hypotenuse

Cos(x) = Adjacent/Hypotenuse

Tan(x) = Opposite/Adjacent

Sin(X) = 24/40

Cos(X) = 32/40

Tan(X) = 24/32

The question only asks to give the ratios by using / for a fraction, so we don't simplify it.

2. We are given the angle of 64°, the opposite length 19 and we have to work out x, which is the hypotenuse. We can use the sin function as we have our opposite length and we have to work out the hypotenuse.

Sin(64) = 19/x

xSin(64) = 19

x = 19/Sin(64)

x = 21.13943687

x = 21.1

3. We are given the angle of 70°, the hypotenuse 12 and we have to work out x, which is the adjacent side. We can use the cos function as we have to work out the adjacent side and we have our hypotenuse given to us.

Cos(70) = x/12

12Cos(70) = x  All we have to do here is multiply by 12!

x = 4.10424172

x = 4.1

Based on the data, which measure of central tendency will provide the most accurate representation of the travel expenses?
A Mean
B. Median
C. Mode

Answers

Answer A. Mean. The average will provide the most accurate expense.

WILL MARK BRAINLIEST!!!!!!!!!
what is 5/1 as a whole number

Answers

Answer:

5

Step-by-step explanation:

5÷1

i m not sure but i like its ans

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton of sugar. The second company charges $7143 to rent trucks plus an additional fee of $175.75 for each ton of sugar.​

Answers

Answer:

14 tons of sugar

$9603.5

Step-by-step explanation:

For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

Let

x = ton of sugar

Company A:

7500 + 150.25x

Company B:

7143 + 175.75x

1. Equate company A and company B

7500 + 150.25x = 7143 + 175.75x

7500 - 7143 = 175.75x - 150.25x

357 = 25.50x

x = 357/25.50

x = 14 tons of sugar

2. Cost when both companies charge the same

Company B:

7143 + 175.75x

= 7143 + 175.75(14)

= 7143 + 2460.5

= 9603.5

Company B = $9603.5

Company A:

7500 + 150.25x

= 7500 + 150.25(14)

= 7500 + 2103.5

= 9603.5

Company A = $9603.5

i need helllllllllllllllllllllllllllllllllllllllllllp

Answers

789.322
Ur whelcomeeeeeee

Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of her items and the number of erasers she purchased.

What is the cost of each eraser?

Answers

The answer is a $1.50

Answer:

1.50

Step-by-step explanation:

6 Find the Surface Area of the below image. 4 cm 10 cm 7 cm Part A There are pairs of rectangles in this Rectangular Prism. ​

Answers

Answer:

I think the surface area is 276 if I'm not mistaken hope this helps!

Select all of the expressions that are equivalent to
-4.5 – 5.2.

Answers

Answer:

-4.5-5.2 and -4.5+(-5.2)

Step-by-step explanation:

Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)

so I think it's equal to but can someone verify it for me?

Answers

Answer:

is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me

What will be the coordinates of the image of point b?

Answers

Answer:

your answer will be D). (6,9)

Step-by-step explanation:

hope it helps bye!!

The answer is D (6,9) because you multiply each number by the scale factor so since the old coordinates were (2,3) you multiply each number by 3 turning it into (6,9).
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