HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form

Mathematics

2 answers:

ch4aika [34]3 years ago

8 0

D. In absolute value a negative and positive does not matter

igomit [66]3 years ago

8 0

Answer: b) |y-11|=6

d) |a-0|=1/2

Step-by-step explanation:

In the number line its y for b) and a for d) not x

How to solve b):

The equation is |y-c|=d

y=5,x=17

find the midpoint between those numbers. (17+5)/2=11

c=11, c is always the midpoint of the equation

|y-11|=d

for d, substatute y, y=5, y=17

|5-11|=6

|17-11|=6

d=6, thus your answer |y-11|=6

How to solve d)

Same thing

equation = |a-c|=d

a=1/2,a=-1/2

the midpoint of 1/2 and -1/2=0

c=0, |a-0|=d

substitue a, |1/2-0|=1/2 , |-1/2-0|=1/2, thus your answer |a-0|=1/2

You might be interested in

Twice a number is 16 greater than two times the opposite of the number. What is the number

kodGreya [7K]

Answer:

Step-by-step explanation:

Let's say our number is n.

First, we have two times a number. This can be represented by 2 times our number, n, or 2*n

Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.

Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.

So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16

We then have

2*n = -2*n + 16

We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation

2*n+2*n = 16

4*n = 16

Then, we can finally divide both sides by 4 to get

n = 4

6 0

3 years ago

A number x multiplied by 4/7 is less than 12/5

morpeh [17]

Step-by-step explanation:

$a \: number \: x \: multiplied \: by \: \frac{4}{7 } \\ x \times \frac{4}{7 } \\ is \: less \: than \frac{12}{5} \\ x \times \frac{4}{7 } < \frac{12}{5} \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times \frac{4}{7} < \frac{12}{5} \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\ \frac{700}{700} x < \frac{84}{700 } \\ x < \frac{84}{700} or \: 0.12$