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3 years ago

11

Write down the first even multiple of 7

1 answer:

Fiesta28 [93]3 years ago

6 0

Answer:

14

Step-by-step explanation:

multiples are the list of number that can be multiplied by a certain number.

list the multiples

make a chart

1 × 7 = 7 (odd)

2 × 7 = 14 (even)

the first even multiple is 14 (2×7)

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I need help solving this problem.

Galina-37 [17]

Answer:

y = $\frac{1}{4}$ x - $\frac{9}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 38 is in this form with slope m = - 4

The line ST is perpendicular to line RS ( angles in a square are 90° )

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-4}$ = $\frac{1}{4}$

y = $\frac{1}{4}$ x + c ← is the partial equation

To find c substitute (2, - 4) into the partial equation

- 4 = $\frac{1}{2}$ + c ⇒ c = - 4 - $\frac{1}{2}$ = - $\frac{9}{2}$

y = $\frac{1}{4}$ x - $\frac{9}{2}$ ← equation of ST

3 0

4 years ago

Is my answer correct? 10 points + brainleist!

Liono4ka [1.6K]

Answer:

your answer is incorrect. The correct answer is $h=-13$ and $k=13$ .

Step-by-step explanation:

If a quadratic function is $f(x)=ax^2+bx+c$ and a>0, then minimum value of the function at point $\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)$ .

The given function is

$f(x)=x^2+bx+182$

Here, a=1, b=b and c=182. So.

$-\dfrac{b}{2a}=-\dfrac{b}{2(1)}=-\dfrac{b}{2}$

Put $x=-\dfrac{b}{2}$ in the given function to find the minimum value of the function.

$f(-\dfrac{b}{2})=(-\dfrac{b}{2})^2+b(-\dfrac{b}{2})+182$

We know that minimum value is 13. So,

$13=\dfrac{b^2}{4}-\dfrac{b^2}{2}+182$

$13-182=-\dfrac{b^2}{4}$

$-169=-\dfrac{b^2}{4}$

$169\times 4=b^2$

Taking square root on both sides.

$13\times 2=b$

$b=26$

The value of b is 26.

So, the given function is

$f(x)=x^2+26x+182$

Now, add and subtract square of half of coefficient of x.

$f(x)=x^2+26x+182+(13)^2-(13)^2$

$f(x)=(x^2+2(13)x+(13)^2)+182-169$

$f(x)=(x+13)^2+13$

On comparing with $f(x)=(x-h)^2+k$ , we get

$h=-13$

$k=13$

Therefore, your answer is incorrect.

8 0

3 years ago

Apollo 8 orbited the moon in a circular orbit. Its average altitude was 185 km above the moon's surface. Create an equation to m

Marta_Voda [28]

You probably haven't learnt this but the general equations for circle with centre at the origin is x^2+y^2=R^2 where R is the radius of the circle so R^2=(1737+185)^2.I am lazy to press my calculator so type it in yourself.

8 0

3 years ago

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At a farm the ratio of cows to horses was 9:2. if there were 72 cows at the farm, how many horses were there?

OLga [1]

ratio of 9:2

means for every 9 cows there are 2 horses

72/9 = 8

8 x 2 = 16

there are 16 horses

4 0

4 years ago

Read 2 more answers

Cookies are on sale! Today each cookie costs $0.75, less than the normal price. Right now if you buy 7 of them it will only cost

Sophie [7]

Equation : c = (2.80 / 7) + 0.75

Normal price of each cookie:
c = (2.80 / 7) + 0.75
c = 0.4 + 0.75
c = $1.15

3 0

4 years ago