If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)

Answer:

b

Step-by-step explanation:

this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2  and she did that 5 times

this means that the final answer 5 * ( 2 + 2 )

Answer:

9

Step-by-step explanation:

4x- 7

Let x=4

4*4 - 7

16 -7

9

Answer:

9

Step-by-step explanation:

4(4)-7=16-7=9

Answer:

36 ft.

Step-by-step explanation:

Use the Pythagoras Theorem.

h^2 = 10^2 + 24^2

h^2 = 676

h = √676

h = 26 ft.

Original height = 10+26 = 36 ft.

Answer:

Step-by-step explanation:

the TRee form with the ground a right triangle

let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:

now ,using the Pythagorean theorem we get :

upper part = √(10²+24²)

                 = 26

then

the original height of the tree

= 10 + 26

= 36 ft

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

Answer:

P

Step-by-step explanation:

It passes through -2 on the y-axis

HOPE THIS HELPS! (:

Answer:

I think it is option C, 3-4x

Answer:

689 ft

Step-by-step explanation:

Answer:

2.86

Step-by-step explanation:

h=V

πr2=441

π·72≈2.86479

Answer:

A = 6 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (6)(2)

A = 6 units^2

Answer:

6 units^2

Step-by-step explanation:

The area of a triangle can be found using the following formula.

a=(bh)/2

where b is the base and h is the height. In this triangle, we know that 6 units is the base. We also know that 2 units is the height, because the height should form a right angle(little square) with the base.

b=6

h=2

Substitute these values into the formula.

a=(6*2)/2

Multiply 6 and 2 first.

a=12/2

Divide 12 by 2

a=6

Add appropriate units. Area always has the unit squared.

a= 6 units^2

The area of the triangle is 6 square units.

Answer:

9x²-3x-25, Domain is all real numbers

Step-by-step explanation:

f(g(x)) = 3(3x²-x-10)+5

= 9x²-3x-30+5

= 9x²-3x-25

Domain is all real numbers

Answer:

4

Step-by-step explanation:

just because i just took it

Answer:

Step-by-step explanation:

Surface Area S=6s²

S=6(36)

S=216 in²

Volume V=s³

V=6³

V=216 in³

Answer:

12

Step-by-step explanation:

Answer:

84.82

Step-by-step explanation:

I rounded it to the decimals hundredth place if I did not it would have been 84.823.

Hope this helps! : )

Answer:

A) Suppose we have an onedimensional situation.

in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:

x ∈(-6ft, 6ft)

we can write this as: IxI < 6ft

b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:

x ∉  [-6ft, 6ft].

or IxI > 6ft.

So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).

Answer:

Todd's Z-score is - 0.27    

Step-by-step explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score  'x' = 55

Todd's Z-score

                      [tex]Z = \frac{x-mean}{S.D}[/tex]

                     [tex]Z = \frac{55-70}{55}[/tex]

                     Z = -0.27

Final answer:-

Todd's Z-score is - 0.27                    

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

rotation

Step-by-step explanation:

The value of the radical expression is A = -3n√12

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -√8n² ( 12 )

On simplifying , we get

A = -√108n²

Taking the value of n outside , we get

A = -n√108

On further simplification , we get

A = -n3√12

A = -3n√12

Hence , the value of the expression after simplification is A = -3n√12

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Answer:

im pretty sure the second option is correct

Step-by-step explanation:

the open circle means the is greater than or equal to

since the arrow is pointing to the right that means that x is greater than

Answer:

210cm2

Step-by-step explanation:

Area of rectangle: HxW

Area of Triangle: 1/2 x bx h

There are 3 rectangles with the length of 14x3

14x3x3

= 14x9

= 126cm2

There are two triangles with the height of 12 and base of 14.

1/2x 14x 12

= 1/2x 168

= 168/2

= 84cm2

Now finally add them together:

84+126

= 210cm2

Answer:

Step-by-step explanation:

[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]

Answer:

9.21

Step-by-step explanation:

Answer:

Nathan has 9.21 change if he pays a 20 bill.

Step-by-step explanation:

Answer:

uydfg

Step-by-step explanation:

hkbchjsbchvuhc

Answer:

-44 im pretty sure

Answer:

m = 1 and c = 3

Step-by-step explanation:

y = mx + c

so comparing with y = x + 3

m = 1 ( since there isn't any co-efficient of x)  and c = 3

Answer:

false

Step-by-step explanation:

5 cant be put into 2

Answer:

not a function

Step-by-step explanation:

Since one input goes to two different outputs, this is not a one to one correspondence, then this is not a function

Answer:

20 p^5 + 15 p^4 - 5 p^3

Step-by-step explanation:

5p^3(4p^2 + 3p - 1)

Distribute

20 p^5 + 15 p^4 - 5 p^3

Answer:

- 20 p^5 - 15 p^4 + 5 p^3

Step-by-step explanation:

= - 5p^3(4p^2 + 3p - 1)

= - 20 p^5 - 15 p^4 + 5 p^3

Hope this helps!

Answer:

Step-

Honey it c !!!!………!l║.by-step explanation:

The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.

To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.

In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.

We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,

Substituting the values,

We get,

⇒ a₈ = 4 × 2⁽⁸⁻¹⁾

⇒ a₈ = 4 × 2⁷

⇒ a₈ = 512,

Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.

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The given question is incomplete, the complete question is

Find the explicit formula for the geometric sequence. Then find a₈.

4, 8, 16, 32, 64,....

Which Answer is Correct:

(a) aₙ = 4 × rₙ - 1; 1024

(b) aₙ = a₁ × 2ⁿ⁻¹; 256

(c) aₙ = 4 × 2ⁿ⁻¹; 512

(d) aₙ = 2 × 4ⁿ⁻¹; 512

Answer:

[tex]105.625\pi cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]

Answer in terms of [tex]\pi[/tex]

[tex]105.625\pi cm^3[/tex]