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3 years ago

1-5. Evaluate each absolute value expression. Can you help me with this and if you can explain it to me thanks you

Mathematics

1 answer:

mihalych1998 [28]3 years ago

3 0

Well when it comes to absolute value remember that whatever number is inside the two straight lines will always come out as a positive.

a) [54] would still be 54

b)-[-7 3/5] so first you get the absolute value which comes out to 7 3/5 but because there is a negative sign out side of the two parallel lines, the answer would be -7 3/5

c)[3]-[-1] the absolute value of 3 is 3 and the absolute value of -1 is 1. So the expression would be 3-1 which comes out to 2

d)[2.2-5.13] 2.2-5.13 would equal -2.93 but since it is in the absolute value, the answer would come out as 2.93

Hope this helps!

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The perpendicular bisectors of sides AC and BC of △ABC intersect side AB at points P and Q respectively , and intersect each oth

MakcuM [25]

The measure of ∠ACB will be 110°

Explanation

According to the diagram below, $DE$ and $DF$ are the perpendicular bisectors of $AC$ and $BC$ respectively and they intersect side $AB$ at points $P$ and $Q$ respectively.

So, $AE=CE$ and $CF=BF$

Now, according to the $SAS$ postulate, ΔAPE and ΔCPE are congruent each other. Also, ΔCFQ and ΔBFQ are congruent to each other.

That means, ∠PCE = ∠PAE and ∠FCQ = ∠FBQ

As ∠CPQ = 78° , so ∠PCE + ∠PAE = 78° or, ∠PCE = $\frac{78}{2}=39$ ° and as ∠CQP = 62° , so ∠FCQ + ∠FBQ = 62° or, ∠FCQ = $\frac{62}{2}=31$ °

Now, in triangle CPQ, ∠PCQ = 180°-(78° + 62°) = 180° - 140° = 40°

Thus, ∠ACB = ∠PCE + ∠PCQ + ∠FCQ = 39° + 40° + 31° = 110°

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3 years ago

A salesperson earns a salary of $700 per month plus 2% of the sales. Which inequality correctly represents the total sales if th

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Answer:

55000

Step-by-step explanation:

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1100 / 0.02 = 55000

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3 years ago

What is the role of a conservator?

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What is the role of a conservator?

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2 years ago

Round your answers to one decimal place, if necessary.

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Step-by-step explanation:

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3 years ago

Read 2 more answers

4.) Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.

marissa [1.9K]

The slope is found by $y_{2} -y_{1} / x_{2} - x_{1}$
Line 1: y2 is 6, y1 is 4, x2 is 2, x1 is -2
6-4/2- -2= 2/4=1/2

Slope intercept is written as y= mx+b. m is the slope, and b is the intercept (the intercept is the value of y when x is 0). To find out the intercept, we plug in values of y, m and x
4= 1/2(-2) +b
4=-1+b
5=b
The equation for line 1 is y= 1/2x +5
Using the same formulas as above, the equation for line 2 is y= 3x+4
The solution to the system is a point where both lines would meet in the graph, or a set of x and y values that satisfies both equations.
y= 3x+4
y= 1/2x+5
3x+4 = 1/2x+5
3x= 1/2x +5 -4
3x= 1/2x +1
3x-1/2x= 1
2.5x=1
2.5x/2.5=1/2.5
x=0.4
Plug 0.4 into the slope intercept equation
y= 3(0.4) +4
y= 1.2 +4
y=5.2

y= 1/2(0.4) +5
y= 0.2 +5
y= 5.2
The solution is 0.4, 5.2

The other set of lines
Line 1: y= 3x+2
Line 2: y= -2x +7
Solution: 1,5

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4 years ago