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3 years ago

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1 answer:

Alina [70]3 years ago

8 0

This is the answer
Uh it has to be 20 characters long for me to give you the pic so here

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Rewrite each expression without using absolute value notation |7m-56| if m<8

dusya [7]

Considering the definition of the absolute value function, the expression is written as -7m + 56.

<h3>What is the definition of the absolute value function?</h3>

The absolute value function is defined as follows:

$|x| = x, x \geq 0$ .

$|x| = -x, x < 0$

That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.

In this problem, the expression is:

|7m - 56|

For m < 8, we have that one example is m = 0:

7(0) - 56 = -56.

The expression is negative, hence the signal is changed, that is:

|7m - 56| = -(7m - 56) = -7m + 56.

More can be learned about the absolute value function at brainly.com/question/24734454

#SPJ1

7 0

1 year ago

Which expression is not equivalent to Negative 3 x minus one-half 4 y? 2 y minus 5 x minus one-half 2 y 2 x Negative 2 x minus o

Alona [7]

Answer:

The wrt=itten expressions are too difficult to interpret properly. I did my best but I don't see any of the answers as equivalent to -3x - 2y, so please check my interpretations of the answer options.

Step-by-step explanation:

"Negative 3 x minus one-half 4 y"

-3x- (1/2)4y

or -3x - 2y

=====

The answer options are too garbled for me to make sense of them. Are they:

1. 2 y minus 5 x minus one-half 2 y : 2y -5x - (1/2)2y; y -5x ?

2. 2 x Negative 2 x minus one-half 6 y : 2(-2x)- (1/2)6y; -4x - 3y ?

3. 3 x Negative 3 x minus three-fourths 4 y : 3x(-3x) - (3/4)4y; -9x -3y ?

4. one-fourth Negative 3 y minus three-fourths 7 y one-fourth minus 3 x:

(1/4)(-3y) - (3/4)7y - (1/4)(-3x); -(3/4)y -(21/4)y + (3/4)x; -(24/4)y + (3/4)x; ?

I don't see any of the answers as equivalent to -3x - 2y, so please check my interpretations of the answer options.

8 0

2 years ago

Read 2 more answers

The answer and how you got the answer

olasank [31]

Answer:

$\frac{34}{15}$

Step-by-step explanation:

we are asked to evaluate

$4\tfrac{1}{4}$ ÷ $1\tfrac{7}{8}$

Above we are given mixed fraction which can be converted in proper fraction using formula given below

$a\tfrac{b}{c}=\frac{a \times c +b}{c}$

Hence

$4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}$

$4\tfrac{1}{4}=\frac{17}{4}$

Also

$1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}$

$1\tfrac{7}{8}=\frac{15}{8}$

Hence

$4\tfrac{1}{4}$ ÷ $1\tfrac{7}{8}$

can be written as

$\frac{17}{4}$ ÷ $\frac{15}{8}$

Also we know the rule for dividing fraction is as given below

$\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{a}{b} \times \frac{d}{c}$

Hence

$\frac{17}{4}$ ÷ $\frac{15}{8}$ = $\frac{17}{4} \times \frac{8}{15}$

= $\frac{17 \times 2}{15}$

= $\frac{34}{15}$

8 0

2 years ago

The fifth term of the number parttern 15,10,5,0

pshichka [43]

Answer:

Step-by-step explanation: -5

7 0

8 months ago

Read 2 more answers

Given: PRST is a square

xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

$PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a$

Thus,

$MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a$

Consider isosceles triangle MSC. In this triangle

$MS=MC=(\sqrt{2}-1)a.$

The area of this triangle is

$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

$A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2$

5 0

3 years ago