a lines y-intercept is -4, and it's slope is 2. what is its equation in slope-intercept form?

Answer:

Gradient is change in y over change in x.

gradient = y1-y2 ÷ x1-x2

=7-11 ÷ 3-5

=-4 ÷ -2

=2

Use the slope/gradient formula below:

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

This formula is for when we want to find the gradient when we have two given points. (We also call it Rise Over Run or changes of y over the changes of x.)

We are given two points which are (3,7) and (5,11). Substitute these points in the equation. (the ordered pairs are in (x,y) and not (y,x))

[tex] \large{m = \frac{11 - 7}{5 - 3} } \\ \large{m = \frac{4}{2} \longrightarrow \boxed{m = 2}}[/tex]

Hence, the gradient of AB is 2.

Answer

Answer:

Step-by-step explanation:

You can't see the picture really well

Answer:

A = (1/2 x b x h ) 4 + l^2

= 1/2 x 5 x 8 x4 + 5 x 5

80 + 25

= D. 105 cm2

Answer:

105

Step-by-step explanation:

Answer:

The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.

Sample Answer:  Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.

Let me know if anything's unclear

Answer:

Step-by-step explanation:

S={1,2,...,20}

A={1,2,3,4,5,6,7,8,9,10}

A^c={11,12,13,...,20}

B={2,4,6,8,7,10,12,16,18}

A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}

Answer:

56 units

Step-by-step explanation:

Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.

In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!

[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]

Therefore, the area of the triangle is 56 units.

I hope this helps! Please let me know if you have any questions :)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{83+97+80+g}{4} \geq 85[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{83+97+80+g}{4} \geq 85[/tex]

⸻⸻⸻⸻

The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.

"At least" indicates a greater than or equal to inequality.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

20 degrees

Step-by-step explanation:

The sum of inner angles of a triangle is 180 degrees

120 + 40 + x = 180

160 + x = 180

x = 20

Answer:

A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)

A = 180-120-40

A = 20°

Answer:

3 m

Step-by-step explanation:

A hexagon has six sides.

3m x 6 = 18 m

Answer:

a=9

divide 81 by 9 on both sides and you get 9.

Step-by-step explanation:

Answer:

a = 9

Step-by-step explanation:

To solve this equation for a, divide both sides by 9.  

The result is a = 81/9, or a = 9.

Answer:

18

Step-by-step explanation:

(23+7²)= 23+7×7=72

72÷2²= 18

Answer:

Step-by-step explanation:

$15 is a constant value while $5 change depending by the hours.

We can write this expression to find the total cost:

5r + 15

part b

1) substitute r with 3

5 * 3 + 15

2) solve the expression

15 + 15 = $30

Answer:

C is the answer

Step-by-step explanation:

24 + x ≥ 55

x ≥ 31

solutions are all values to the right of 31, including 31

The answer is C.

(Optional) First, reorder the terms of this inequality so you know what you're working with. (x + 24 ≥ 55)

Subtract 24 on both sides of the ≥ sign.

x ≥ 31

When using either ≤ or ≥, it will be a closed circle on a number line. The direction of the sign acts as an arrow that tells you which direction the line will be going.

Given:

θ is an angle in standard position.

Its terminal side passes through the point (6,1).

To find:

The exact value of secθ in simplest radical form.

Solution:

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{Hypotenuse}{Base}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{x^2+y^2}}{x}[/tex]

It is given that θ is an angle in standard position and its terminal side passes through the point (6,1), then the exact value of secθ is:

[tex]\sec\theta =\dfrac{\sqrt{6^2+1^2}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{36+1}}{6}[/tex]

[tex]\sec\theta =\dfrac{\sqrt{37}}{6}[/tex]

Therefore, the exact value of secθ is [tex]\dfrac{\sqrt{37}}{6}[/tex].

Answer:

3

Step-by-step explanation:

Since there are an even number of data points (there are 4 points), and since the data has already been written in ascending order, the median is the average of the middle two terms:  (2 + 4)/2 = 3

Answer:

Median: 3

Step-by-step explanation:

Median: the number in the middle

1, 2, 4, 7

Median is between 2, 4

Therefore, the median is 3

Answer:

11.8 % empty

Step-by-step explanation:

volume of cylinder : pi × r² × h

attention ! the question gives us diameter, so for radius we need to cut them in half.

Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³

Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³

after filling B with everything in A there is still some empty volume in B

Vb empty = Vb - Va = 185.35397... ft³

so,

100% Vb = 1570.79633... ft³

1% Vb = 15.7079633... ft³

so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?

185.35397... / 15.7079633... = 11.8%

Answer:

geomatric

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

The difference between terms is constant

Answer:

A

Step-by-step explanation:

Hope this helped!

Answer:

i am pretty sure its B

Step-by-step explanation:

Answer:

m = 4

Step-by-step explanation:

m = -29 + 33

Answer:

the answer is m=4

hope this helps

have a good day :)

Step-by-step explanation:

33+-29=4

Answer:

23 grams of snow

Step-by-step explanation:

44% melted, so, 100% - 44% = 56% remained.

56% = 12.88 grams

1% = 12.88/56 = 0.23 grams

100% (= original snow) = 100×1% = 100×0.23 = 23 grams

the question is kind of nonsense, because snow is made of water, and that water weighs the same, if it is in snow form or in liquid form. melting it or freezing it does not change its weight. only its volume.

so, actually the container contained 23 grams of water substance at the beginning, and still contains 23 grams of water substance.

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

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

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

Answer:

3√2

Step-by-step explanation:

since it is equilateral we can add say base = 2 * [tex]\sqrt{6\\}[/tex]

all sides = 2[tex]\sqrt{6}[/tex]

we use Pythagorean theorem for solving x

a^2 + b^2 = c^2

c^2 - a^2 = b^2

(2[tex]\sqrt{6}[/tex])^2 - (

(24) - (6) = b^2

18 = b^2

b = √18 = √(9*2) = 3√2

please if you find the answer helpful mark it brainiest

Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) [tex]c^2+c+6[/tex]

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: £1.18

Step-by-step explanation: 9.44/8 = 1.18