Convert the point-slope form to slope-intercept form. y - 5 = 3(x - 2)​

After plotting the above equation on the coordinate plane, we can see the graph of the function.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have two parametric equations:

x = 1 – t² and

y = 2t

t = y/2  and

0 ≤ t² ≤ 5

1 ≤ 1 - t²≤ 4

1 ≤ x≤ 4

Plug the above value in x = 1 – t²

x = 1- (y/2)²

x = 1 - y²/4

4x = 4 - y²

y² = 4(1 - x)

Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.

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Answer:

750 is the answer. Hope it helps!

Answer:

20h + 10

Step-by-step explanation:

16h + 10 + 4h

The like terms in this expression are 16h and 4h

20h + 10

Hope this helps! May I please have brainliest? :)

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

Answer:

3

Step-by-step explanation:

Answer:

3/9ths

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you look at 3 on the X-axis and go down 4 then you will get point B as your answer.

Answer:

E is the correct answer because A is (-4,-3), B is (-4,3), C is (5,1), D is (4,-3), E is (3,-4), and F is (-2,-4)

Answer:

Here,

150+10=180

162-180=18

Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

Answer:

no

Step-by-step explanation:

64/16 = 4

60/14 = 4.28...

Answer:

=[tex](x-1)(x+6)[/tex]

Step-by-step explanation:

Answer:

[tex]x^{2} +5x-6=(x-1)(x+6)[/tex]

Step-by-step explanation:

Answer: (6, 9)

Step-by-step explanation:

We have the pairs:

x   y

0  0

2   3

4   6

These can be written as points (0, 0), (2, 3) and (4, 6)

This seems to be a linear relationship:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In the cases where the point (0, 0) belongs to the graph, we have a proportional relationship, which is written as:

y = k*x

In this case we have that point, then this is a proportional relationship.

Now we could just replace the values of one of the points (not the (0,0) point) in the equation in order to find the value of x.

If we use the point (2, 3) we get:

y = 3

x = 2

then:

3 = k*2

3/2 = k

Then the relationship is:

y = (3/2)*x

Now we want to know the ordered pair such that x = 6, then we just eed to replace x by 6 in the above equation:

y = (3/2)*6 = 9

Then we have x = 6 and y = 9

The correct option is (6, 9)

Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

Answer:

its 3

Step-by-step explanation:

It would be B)no.

Hope This Helps!

Answer:

300 sqft

Step-by-step explanation:

30 times ten is 300 and the measure is feet squared

Answer:

9000 ft 3

Step-by-step explanation:

Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given parameters:

Height of the Gateway Arch in St. Missouri = 630 feet.

Priya have to look up at a 50° angle to see the top of the arch.

Now from definition of tanθ in trigonometry:

tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri

hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷  tan50°

= 630 feet  ÷  tan50°

= 528.63 feet.

Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

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Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

[tex]k = \frac{y}{x}[/tex]

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{2}[/tex]

[tex]k = 2[/tex]

x = 4, y = 9

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{9}{4}[/tex]

[tex]k = 2.25[/tex]

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{3}[/tex]

[tex]k = 1.33[/tex]

x = 9, y = 16

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{16}{9}[/tex]

[tex]k = 1.78[/tex]

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{12}{4}[/tex]

[tex]k = 3[/tex]

x = 5, y = 15

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{15}{5}[/tex]

[tex]k = 3[/tex]

x = 6, y = 18

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{18}{6}[/tex]

[tex]k = 3[/tex]

This shows a proportional relationship because all values of k are the same for this table

Answer:

Step-by-step explanation:

f(-2) = (-2)^2 - (-2)^3

      = 4 - (-8)

      = 4 + 12

       = 16

Answer:

m= - 4/13

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

Hopefully this helps :)

Answer:

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Step-by-step explanation:

Given

Shape: Cylinder

[tex]Radius = 3h - 2[/tex]

[tex]Height = h[/tex]

[tex]Base\ Area = \pi (3h - 2)^2[/tex]

Required

Simplify the volume

The volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Substitute values for Base Area and Height

[tex]V= \pi(3h-2)^2*h[/tex]

Expand the bracket

[tex]V= \pi(3h-2)(3h-2)*h[/tex]

Open brackets

[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]

[tex]V= \pi (9h^2 -12h + 4) *h[/tex]

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Given:

The statement is " a is the fourth root of 16".

To find:

The true statement for the given statement.

Solution:

The given statement is

a is the fourth root of 16.

Mathematically, it can be written as

[tex]a=\sqrt[4]{16}[/tex]

Taking power 4 on both sides.

[tex]a^4=(\sqrt[4]{16})^4[/tex]

[tex]a\times a\times a\times a=16[/tex]

Therefore, the correct option is A.

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

Important Information :

'a' is the fourth root of 16 can be written as

[tex]a=\sqrt[4]{16}[/tex]

To remove fourth root, we take exponent 4 on both sides

[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]

Exponent 4  and fourth root will get cancelled

[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]

a x a x a x a = 16

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

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Answer:

5 yellow apples

Step-by-step explanation:

Pears = p ; apples = a

p = 8 ; let Number of apples = x

All fruits are either green or yellow

Total green fruits = x - 3

Number of yellow pears = 6

Green pears = total pears - yellow pears

Green pears = 8 - 6

Green pears = 2

Green fruits = green pears + green apples

x - 3 = 2 + green apples

Green apples = x - 3 - 2

Green apples = x - 5

Apples = green apples + yellow apples

Yellow apples = apples - green apples

Yellow apples = x - (x - 5)

Yellow apples = x - x + 5

Yellow apples = 5

Hence, there are 5 yellow apples

There are 5 yellow apples in the basket.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:

There are some apples and 8 pears in a basket:

c + d = 8

There are three more apples than the total number of green fruit:

a + b = a + c + 3

b = c + 3

c = b - 3

There are 6 yellow pears, d = 6. Since:

c + d = 8, hence:

b - 3 + 6 = 8

b = 5

There are 5 yellow apples in the basket.

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Answer:

Step-by-step explanation:

Height = √(90^2-63^2) = √4131 ≈ 64 ft

Answer

i think this is what you mean

Step-by-step explanation:

x          y

2         0

1          2

0         4

-1         6

-2        8

Answer:

1. 1/8 ÷ 3/4 = 1/6

2. 3/5 ÷ 3/2 = 2/5

3. 4/1 ÷ 2/3 = 6

4.9/4 ÷ 6/5 = 15/8

5.22/4 ÷ 2/5 = 261/80

Step-by-step explanation:

Hope this Helped

Answer:

Step-by-step explanation:

Sine of U = 8/17

opposite /hypotensue

Answer:

Step-by-step explanation:

S, S, E.

Come on, do I have to spell it out for you?  :)

Answer:

He bought 2 cans of paint

Step-by-step explanation:

If he put ⅖ in each, and ⅘ total, he would have had 2 cans

Quantity of special paint additive Ernest bought = [tex] \tt \frac{4}{5} \: of \: a \: litre [/tex]

Quantity of additive he put in each can = [tex] \tt \frac{2}{5} \: of \: a \: litre [/tex]

Number of cans of paint he bought :

[tex] =\tt \frac{4}{5} \div \frac{2}{5} [/tex]

[tex] = \tt\frac{4}{5} \times \frac{5}{2} [/tex]

[tex] = \tt\frac{4 \times 5}{5 \times 2} [/tex]

[tex] =\tt \frac{20}{10} [/tex]

[tex]\color{plum} = \tt2 \: paint \: cans[/tex]

▪︎Therefore, Ernest bought 2 paint cans.

Answer:

x = -5/2

Step-by-step explanation:

y= 0

I dont know but i believe this is it.

Answer:

2x-y=-5

Step-by-step explanation:

y=2x+5

-2x+y=5

-(-2x+y=5)

answer: 2x-y=-5

Answer:

56

Step-by-step explanation: Use the values of a, b, and c to find the discriminant.

Answer:

[tex]\Delta =56[/tex]

Step-by-step explanation:

We are given:

[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]

So, a = 1, b = -8, and c = 2.

The discriminant (symbolized by Δ) is given by:

[tex]\Delta =b^2-4ac[/tex]

So, our discriminant in this case will be:

[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]

Since our discriminant is a positive value, our equation has two real roots.