All categories

3 years ago

In need help in this

Mathematics

1 answer:

Lyrx [107]3 years ago

7 0

Answer:

Vertex form is

$a(x - h) {}^{2} + k = y$

where (h,k) is the vertex

So our vertex form is

$a(x - 3) {}^{2} + 5 = y$

It passes through (6,0) so we have

$a(6 - 3) {}^{2} + 5 = 0$

Solve for a.

$a(3) {}^{2} + 5 = 0$

$a(9) = - 5$

$a = \frac{ - 5}{9}$

So our equation is

$- \frac{5}{9} (x - 3) {}^{2} + 5$

You might be interested in

What is the domain of the ordered pairs?

BigorU [14]

Answer:

b. {-3, -1, 2}

Step-by-step explanation:

An ordered pair is a pair of elements written as (x, y) where the first element is the input value and the second element is the output value.

The domain is the set of input values (x-values)

The range is the set of output values (y-values)

Therefore, for the given ordered pairs (-1, 0), (2, 4) and (-3, 6)

Domain: {-3, -1, 2}

Range: {0, 4, 6}

3 0

2 years ago

Please, can someone help?

LekaFEV [45]

The area of that figure is 2453.25 square feet

First, you would need to find the area of the rectangle

(L)(W)
(70)(30)
2100

Then since it is only a semi circle, the formula is pi*r^2/2

You find the area of a full circle first

(3.14)(15^2)
(3.14)(225)
706.5

Then you divide that by 2 since it’s only half a circle

706.5/2 = 353.25

Finally you add that by the area of the rectangle

2100 + 353.25 = 2453.25 square feet

3 0

3 years ago

The table shows the number of words a person types of different amounts of time. What is the rate of words per minute?

Setler [38]

Answer:

35 words per minute.

Step-by-step explanation:

To find the answer you have to divide Minutes by Words Typed.

105 ÷ 3 = 35.

175 ÷ 5 = 35.

315 ÷ 9 = 35.

Therefore, our answer is 35.

8 0

3 years ago

Select all the statements that are true

masya89 [10]

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of $\frac{3}{2}$ centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = $\sqrt{(0+4)^2+(6+4)^2}$

= 10.77

Distance between M' and N' = $\sqrt{(0+6)^2+(6+6)^2}$

= 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

3 0

3 years ago

How do i solve 7x^{2} +11y^{2} =40

svetoff [14.1K]

Answer:

Step-by-step explanation:

There is no solution as you have two variables and only one equation. The best you can do is solve for one variable as a function of the other.

$7x^2+11y^2=40\\ \\ 11y^2=40-7x^2\\ \\ y^2=\frac{40-7x^2}{11}\\ \\ y=\sqrt{\frac{40-7x^2}{11}}$

6 0

3 years ago