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DaniilM [7]
3 years ago
13

Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or (an expression) that h

ave the following solution sets:
Two Solutions: x=2, x=14
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

  • |x − 8| = 6

Step-by-step explanation:

  • |x − b| = c
  • 1. x - b = c ⇒ x = b + c
  • 2. x - b = -c ⇒ x = b - c

<u>We have solution:</u>

  • b + c = 14
  • b - c = 2

<u>Add up these two equations:</u>

  • 2b = 16
  • b = 8

<u>Find c:</u>

  • c = 8 - 2 = 6

<u>The original equation is:</u>

  • |x − 8| = 6
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Help? what should i choose
igomit [66]

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so:

180-110 = 70

As this is an isosceles triangle,

y must be 70.

We know y is 70 and there are 2y and one x. A triangle also adds up to 180.

This means:

2y+x = 180

2(70)+x = 180

140+x = 180

x = 40

x = 40  y = 70

8 0
2 years ago
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 11 fl oz per hour. How f
netineya [11]
Here's what you need to know in order to answer this:

       1 gallon  =  128 fl oz
and      
       1 day  =  24 hours. 
    
Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.

                  (11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)

               = (11 x 24 x 1 / 128)  (fl-oz - hr - gal) / (hr - da - fl-oz)

               =         2.0625                        gal/da 
6 0
3 years ago
What is the equation of the graph <img src="https://tex.z-dn.net/?f=y%3Dx%5E3" id="TexFormula1" title="y=x^3" alt="y=x^3" align=
Galina-37 [17]

Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

Stretch vertically by 2.

y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

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8 0
3 years ago
Which statements are true about the trigonometric ratios of this triangle​
rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(30°) = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

sin(30°) = \frac{BC}{AB}

             = \frac{11}{22}

             = \frac{1}{2}

cos(60°) = \frac{BC}{AB}

              = \frac{11}{22}

              = \frac{1}{2}

sin(60°) = = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

Options (1), (2), (3) and (4) are the correct options.

3 0
2 years ago
How to solve 19= -37 + 8x
lions [1.4K]

Answer:

19 = -37 + 8x

-8x= -37 -19

-8x = -56

x= 7

4 0
2 years ago
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