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2 years ago

Linea ab pases through points a (-6,7) and b(-6,-3) as shown on the coordinate grid below

Mathematics

1 answer:

hoa [83]2 years ago

5 0

Answer:

x= -6

Step-by-step explanation:

Notice that a(-6,7) and b(-6,-3) have the same x-coordinate (-6). This means that x is constant and that the line is a vertical one (x = -6).

The equation of the line through these two points is x = -6.

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Simplify the surd 3√ 20 +√ 45

melisa1 [442]

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

3 0

2 years ago

Read 2 more answers

A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is

RideAnS [48]

Check the picture below.

$\bf \textit{total surface area of a cone}\\\\
SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~
\begin{cases}
r=radius\\
h=height\\
-------\\
r=17\\
\sqrt{r^2+h^2}=12
\end{cases}
\\\\\\
SA=\pi (17)(12)+\pi (17)^2\implies SA=204\pi +289\pi \implies SA=493\pi$

8 0

2 years ago

In 24 hours one set of twins drank 16 bottles of formula. Each bottle holds 4 fl oz. How many cups of formula did the set of twi

aev [14]

Answer:

16 cups of formula

Step-by-step explanation:

you take 16 (the amount of bottles) and multiply it by 4 (the amount one bottle holds)

which gets you 64 then you multiply that by 2 ( the amount of children)

which gets you 128

then you divide by 8, because there are 8 fl oz in a cup

which gets you 16

16 cups of formula

7 0

3 years ago

6000 is deposited into a fund at the annual rate of 9.5%. Find the time required for the investment to double if the interest is

Anna [14]

Answer: 7.58 years

Step-by-step explanation:

When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.

The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:

= 72 / r

= 72 / 9.5

= 7.58 years

3 0

2 years ago

Which expression represents the inverse of the function f(x)=4x

Anton [14]

Answer:

$f^{-1}$ (x) = $\frac{x}{4\\}$

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = 4x ( divide both sides by 4 )

x = $\frac{y}{4}$

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x}{4\\}$

4 0

2 years ago

Linea ab pases through points a (-6,7) and b(-6,-3) as shown on the coordinate grid below​

Linea ab pases through points a (-6,7) and b(-6,-3) as shown on the coordinate grid below