Which of the equations can be used to solve for the value of X?

A. 2x = 52
B. 2x + 54 = 90
C. 2x + 52 = 180
D. 2x + 52 + 90 = 180

Step-by-step explanation:

General line equation: y = mx + c

When x = 0, y = 3. => (3) = m(0) + c, c = 3.

When x = -4, y = 5. => (5) = m(-4) + c,

5 = -4m + (3), -4m = 2, m = -0.5.

Hence the answer is y = -0.5x + 3.

Answer:

y=-[tex]\frac{1}{2}[/tex]+3

Step-by-step explanation:

To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)

m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

=[tex]\frac{5-3}{-4-0}[/tex]

=2/-4

=-[tex]\frac{1}{2}[/tex]

next, calculate b by substituting a point (0, 3) into the equation

y=mx+b

3=(-1/2)(0)+b

b=3

final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3

Answer: Answer Is C

Step-by-step explanation: Did the Quiz test thing

Answer:

C. 6p3 – 23p2 + 9p + 28

Step-by-step explanation:

edge

Answer:

monthly payment =  $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time  t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × [tex]\frac{r}{1+(1-r)^{-t}}[/tex]      ................1

put here value and we get

monthly payment = 5000 × [tex]\frac{0.053}{1+(1-0.053)^{-24}}\\[/tex]

monthly payment =  $56.445

Answer:

Step-by-step explanation:

Answer:

x = 26°

Step-by-step explanation:

Let us solve the question

In the given figure

∵ The ray NC bisects ∠WNB

→ That means it divides the angle into two equal angles, ∠WNC and ∠CNB.

∴ m∠WNC = m∠CNB

∵ m∠WNC = 3v - 4

∵ m∠CNB = 2v + 6

→ Equate the measures of the two angles

∴ 3v - 4 = 2v + 6

→ Add 4 to both sides

∵ 3v - 4 + 4 = 2v + 6 + 4

∴ 3v = 2v + 10

→ Subtract 2v from both sides

∵ 3v - 2v = 2v - 2v + 10

∴ v = 10

∵ x = m∠WNC

∴ x = 3v - 4

→ Substitute v by 10

∵ x = 3(10) - 4

∴ x = 30 - 4

∴ x = 26°

Answer:  Holly would take 60 minutes to clean alone.

Step-by-step explanation:

Let t = Time taken by Holly to clean alone.

Given: Time taken by Mia to clean alone = 30 minutes

Time taken by Mia and holly to clean their room = 20 minutes

Then,

[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]

Hence, Holly would take 60 minutes to clean alone.

Answer:

Given a function y=f(x) its first derivative – the rate of change of y with respect to x – is defined by: dydx=limh→0[f(x+h)−f(x)h]. Finding the derivative of a function by computing this limit is known as differentiation from first principles

and put the formula answer will be there

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{\frac{3}{x+h}-\frac{3}{x} }{h}[/tex]

     = lim( h to 0 ) [tex]\frac{3x-3(x+h)}{hx(x+h)}[/tex]

     = ( lim h to 0 ) [tex]\frac{3x-3x-3h}{hx(x+h)}[/tex]

     = lim( h to 0 ) [tex]\frac{-3h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator

     = lim( h to 0 ) [tex]\frac{-3}{x(x+h)}[/tex] ← let h go to zero, then

f'(x) = - [tex]\frac{3}{x^2}[/tex]

Answer:

b=2√7 ≈ 5.29 meters

Step-by-step explanation:

think of it like a right triangle like in the picture with 8metre ladder as the hypotenuse

a²+b²=c²

6²+b² =8²

b²= 8²-6²=28

b=√28 =2√7 ≈ 5.29 meters

Answer:

y=20+10x

Step-by-step explanation:

From the information provided, the equation would indicate that the cost of mowing a lawn would be equal to the flat rate plus the result of multiplying the cost per hour for the number of hours:

y=20+10x, where:

y is the cost of mowing a lawn

x is the number of hours

Answer:true

Step-by-step explanation:

Step-by-step explanation:

area of square is a^2

3.1yd^2=9.61yd^2

Answer:

Area = 9.61^2

Step-by-step explanation:

A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.

Move all terms that don't contain x to the right side and solve.

x = 43

Answer:

x=43

Step-by-step explanation:

2x+96=182    

2x=86      (Subtract 96 from 182)

x=43         (Divide 86 by 2)

Answer: 2,385

Step-by-step explanation:

Answer:

No. ≤  means less than or equal to

Step-by-step explanation:

Answer:

B) 42 Degrees

Step-by-step explanation:

An angle bisector is basically a line that splits an angle into two congruent angles.

In this case, the large angle ABC is bisected by ray BD.

Angle ABC is given to be 84 degrees, so the measure of angle ABD is exactly half of that, or 42 degrees.

Let me know if this helps!

Answer:

Katie's gallon

Step-by-step explanation:

Katie and Sunnie both have 20-gallon fish tanks that are leaking water!

For Katie

After 15 minutes, Katie's tank has leaked 4/3 gallon.

The rate of leakage =

4/3 gallon × 15 minutes

= 16

For sunny

After 20 minutes, Sunnie's tank has leaked 3/4 gallon.

Her rate is given as:

= 3/4 gallon × 20 minutes

= 15

Therefore,

The tank that is leaking faster is Katie's gallon

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

Answer:

I think it is 4/5 because when you have a remainder you put it on top over the first number (5)

Step-by-step explanation:

Hope this helped and sorry if this didn't help :(

Answer:

[tex]y-0=23(x-3)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and [tex]m[/tex] is the slope

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point

[tex]y-0=m(x-3)[/tex]

Plug in the slope

[tex]y-0=23(x-3)[/tex]

I hope this helps!

Answer:

x = 5, x = 2

Step-by-step explanation:

y=x²-7x+7 but also y=-3

so x²-7x+7=-3

x²-7x+10=0

when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7

-5x-2=10

-5+-2=-7

so (x-5)(x-2)=0

(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)

x-5=0 so x=5

but also x-2=0 so x=2

Answer:

75 cents per can

Step-by-step explanation:

8 for $6 = 75 cents per can

10 for $10 = $1 per can

2 for $3 = $1.50 per can

The last store sold 28-oz for $1.40 each

To obtain the cost per 15-oz can of baked beans

28-oz / 15-oz = 1.86667of 15 - oz cans of baked beans can be obtained from 28 - oz.

The price per can will now be :

$1.40 / 1.8666666

= $0.75

= 0.75 * 100 = 75 cents

Hence, for the last store, they sold at 75 cents per can similar to the first store.

Answer:

75

Step-by-step explanation:

it is

Answer:

acute

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

∠LAF is 70°. Since it has an angle measurement of less than 90°, it is known as an acute angle.

Answer:

Th answer is x = (c - ab) / a

Step-by-step explanation:

The steps are :

a(x + b) = c

ax + ab = c

ax = c - ab

x = (c - ab) / a

Answer:

x=(c-ab)/a

this s answer

Answer:

-2/2 or simplify to =-1

Step-by-step explanation:

you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.

Answer:

2 out of every 5; 2:3; 2:5

Step-by-step explanation:

2 out of every 5 means that out of 5, he/she picks two (leftover 3)

the other choices are a ratio of if he/she has 2 of that then they will also have 5 of this

Answer:

a. $105

b. $455

Step-by-step explanation:

Answer: The length is 3 or 9 hope this helps.

Step-by-step explanation:

Answer:

c.

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Step-by-step explanation:

Pattern A starts at 20 and the rule is to subtract 2. The terms will therefore be:

= 20, 18, 16, 14, 12, 10

The numbers above were gotten by subtracting 2 from each term for the next term.

Pattern B starts at 20 and the rule is to subtract 1. The terms will be:

=  20, 19, 18, 17, 16, 15

Correct option is therefore option C.

Answer:

m∠BCD = 24°

Step-by-step explanation:

By the theorem,

"Angle subtended by an arc at the center of the circle is twice in measure of the angle subtended at the circumference."

m(∠BOD) = 2(m∠BFD)

                = 2(78°)

                 = 156°

Therefore, m(arc BD) = m∠BOD = 156°

Since, m(arc BD) + m(arc BFD) = 360°

156° + m(arc BFD) = 360°

m(arc BFD) = 360 - 156

                   = 204°

Since, "angle formed outside the circle by the intersection of two tangents measure half of the difference of the intercepted arcs".

m∠BCD = [tex]\frac{1}{2}[m(\text{arc BFD})-m(\text{arc BD})][/tex]

              = [tex]\frac{1}{2}[204 - 156][/tex]

              = 24°

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values