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3 years ago

i have been struggling for this work that has been assigned to me at the first day of school after a long time.

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer:

Fill the gaps in this sequence:

25 36 49 64 81 100

This sequence is the numbers 5, 6, 7, 8, 9, and 10 squared.

Work out the cube root of 343, then square it.

49

Since 7 cubed equals 343, then 7 squared is 49.

When you subtract one square number from another the answer is 7.

What are the two square numbers?

16 and 9

These are the only squares that fit the criteria.

Write down a number you can square to give an answer bigger than 200 but smaller than 300.

15, 16, 17

All of those answers work. 15² is 225, 16² is 256, and 17² is 289. You can choose any of them to enter in and it should work.

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The value of y varies directly with x, and y=28 when x=7. Find y when x=4 by first finding k.

lesya692 [45]

Direct proportionality is the type of proportionality where an increase in one quantity or variable causes a corresponding increase in another quantity.
Therefore; y varies directly as x
Hence; y α x
y =k x where k is a constant
if y= 28 and x = 7 , then k = 28/4 =4
hence, y = 4 k
when x = 4, then y= 16

7 0

3 years ago

If h + 12 =22, then h= 10. name the property

pshichka [43]

Answer:

substitution

Step-by-step explanation:

5 0

3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

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

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

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3 years ago

What is the value of b? −7.5(x−3)=3.75 X = ???

son4ous [18]

There isn't a b variable in this equation, but x = 2.5. (:

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3 years ago

Find the sum: (6a + 6) + (3x - 2) + (2a + 4)

Cerrena [4.2K]

Answer:

8a + 3x + 8

All you have to do is add numbers around to make the process easier.

7 0

3 years ago