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3 years ago

What is the name of the line of reflection for the pair of figures? Enter your answer in the box.

Mathematics

1 answer:

mylen [45]3 years ago

7 0

Answer:

the line of symmetry. It's like a mirror.

Step-by-step explanation:

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1+4=5<br> 2+5=12<br> 3+6=21<br> 8+11=?

Mrac [35]

Answer:40

Step-by-step explanation:

21+8=29

29+11=40

6 0

3 years ago

Which expressions can be used to find m∠ABC? Check all that apply.

valina [46]

Answer:

$\cos^{-1}(\frac{6.3}{9.8})$

$\sin^{-1}(\frac{7.5}{9.8})$

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The sine ratio is the length of the opposite side expressed over the hypotenuse.

$\sin m\angle ABC=\frac{7.5}{9.8}$

Take the sine inverse of both sides to get;

$m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})$

The cosine ratio is the length of the adjacent side expressed over the hypotenuse.

$\cos m\angle ABC=\frac{6.3}{9.8}$

Take the cosine inverse of both sides to get;

$m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})$

4 0

4 years ago

miss watson runs a distance of 200m in 25 seconds work out the average speed of miss watson in metres per second

Kobotan [32]

Answer:

8 meters per second

Step-by-step explanation:

4 0

3 years ago

(P+a)(V+b)=c,

UNO [17]

Answer:

PUSHIN

Step-by-step explanation:

6 0

3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago