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3 years ago

A segment had a coordinates (-4, 9) and (0, 7). What is the midpoint of the segment

1 answer:

4 0

The x-coordinate of the midpoint is the average of the x-coordinates of the endpoints. The y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

x-coordinate of midpoint: (-4 + 0)/2 = -4/2 = -2

y-coordinate of midpoint: (9 + 7)/2 = 16/2 = 8

Answer: The midpoint is (-2, 8).

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|6a-5|=4a What are the solutions to a?

Feliz [49]

The variable a could be
5/2 or 1/2

Hope I could help :)

4 0

3 years ago

Which graph represents the function y = -2cos(21x)?<br> helllppp

stealth61 [152]

Answer:

See attached graph

Step-by-step explanation:

The function is given as :

y = -2cos(21x)

7 0

3 years ago

(ar^b)^4=81r^24<br> where a and b are positive integers. <br> Work out a and b

galina1969 [7]

Answer:

Vales of a =3 and b = 6

Step-by-step explanation:

Given that: $(ar^b)^4 = 81r^{24}$ .....[1] where a and b are positive integers

we can write 81 and 24 as;

$81 = 3 \cdot 3 \cdot 3 \cdot 3 = 3^4$

$24 = 4 \cdot 6$

We have [1] as;

$(ar^b)^4 = 3^4r^{4 \cdot 6}$

Using power rules;

$a^nb^n = (ab)^n$

$a^n = b^n$ which implies a = b

then;

$(ar^b)^4 = (3r^6)^4$

$ar^b = 3r^6$

On comparing both sides we have;

a = 3 and

$r^b = r^6$

⇒ $b = 6$

Therefore, the value of a and b are, 3 and 6

6 0

4 years ago

Write an inequality that represents the graph.

Dimas [21]

Answer:

y=2x+1

Step-by-step explanation:

Y intercept is 1 and slope is 2/1

5 0

3 years ago

A researcher claims that 90% of people trust DNA testing. In a survey of 100 people, 91 of them said that they trusted DNA testi

tatuchka [14]

You must know that % is a number out of 100.

Therefore given 91/100 trusted DNA surveying, we know as a percentage this is 91% from the equation below:

(91/100)*100=91

We can conclude that 1%=1 person.

Although the difference is only 1 (91-90=1), the actual proportion of people who trust DNA testing is larger than the 90% by 1%.

5 0

3 years ago