PICTURES ARE ATTACHED, PLEASE HELP :)

Mathematics

1 answer:

liq [111]3 years ago

5 0

for the first one, use Pythagoras theory to find the answer which is

opposite2+adjacent2=hypotenus2

the 2 behind all of them describe the square of all of them

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What is the midpoint of BC

torisob [31]

Step-by-step explanation:

midpoint of BC is 63 middle of 60 and 65

5 0

3 years ago

ANSWER ASAP PLS 20 POINTS! Which graph represents the piecewise defined function? y= {3 if x<-2 0 if x=1 -1 if x>1

Otrada [13]

Answer:

It is the third option. (the one which has a black point at X=1, Y=1)

Step-by-step explanation:

For simplicity what you should do is, you should satisfy the second condition that is, y=0 if x=1.

Here only the third option is satisfying this condition.

Whenever there is is a white circle or a white point it means that the point does not satisfy the condition and the the function is not defined at that point. And the black point means that the circle is defined at that point and satisfies the condition.

Henceforth, the correct answer is the third option.

4 0

4 years ago

Which statements about the system are true?

Kruka [31]

2 Answers:

B) The lines are parallel
C) The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

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Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.