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3 years ago

Select the set of equations that would be used to solve the following absolute value equation:|x-5|=20

2 answers:

7 0

X-5= 20
x-5= -20

Absolute value makes a negative positive, so when you are solving x-5 could have been 20 originally or -20 originally. Solve for both.

mina [271]3 years ago

3 0

When setting up to solve an absolute value equation you need to remember that whatever is inside the bars represents a distance of, in this case, 20 units from zero on the number line. This can be 20 to the right or 20 to the left. For this reason we must set up TWO equations and solve both of them.
x - 5 = 20 and x - 5 = - 20

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Write the equation in slope-intercept form for each line based on the information given.

nexus9112 [7]

Answer:

y = -1x + 6 or y = -x + 6

Step-by-step explanation:

First, let's identify what slope-intercept form is.

y = mx + b

m is the slope. b is the y-intercept.

We know the slope is -1, so m = -1. Plug this into our standard equation.

y = -1x + b

To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.

4 = -1(2) + b

To find b, multiply the slope and the input of x(2)

4 = -2 + b

Now, add 2 from both sides to isolate b.

6 = b

Plug this into your standard equation.

y = -1x + 6

This is your equation.

Check this by plugging in the point again.

y = -1x + 6

4 = -1(2) + 6

4 = -2 + 6

4 = 4

Your equation is correct.

Hope this helps!

8 0

3 years ago

The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on

Sauron [17]

Since these 2 events are independent , the probability of them both occurring is obtained by multiplying them

P(rain on Wed and Sat) =0.30* 0.60 = 0.18

which is 18%

3 0

3 years ago

Read 2 more answers

Crisps <br> normal price £1.43 <br> three for the price of two<br> what is the total of 6 packets

Anettt [7]

Answer:

3 packs equal the price of two, therefore 1.43•2= 2.86

and 6 packs equal the price of 4, so 2.86•2= 5.72

7 0

2 years ago

9.01 prove that the two circles are similar

il63 [147K]

Answer:

see the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.

In this problem to prove circle C and circle A are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle C is centered at (0,-1) and has a radius of 2 units

Circle A is centered at (3,4) and has a radius of 5 units

step 1

Move the center of the circle C onto the center of the circle A

the transformation has the following rule

(x,y)--------> (x+3,y+5)

(0,-1)------> (0+3,-1+5)-----> (3,4)

center circle C is now equal to center circle A

The circles are now concentric (they have the same center)

step 2

A dilation is needed to increase the size of circle C to coincide with circle A

scale factor=radius circle A/radius circle C-----> 5/2=2.5

radius circle C will be=2*scale factor-----> 2*2.5=5 units

radius circle C is now equal to radius circle A

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

4 0

3 years ago

Please answer all there. Need help fast

ddd [48]

Answer 1.)is 196 simplify 7^2 to 49 6*(49-15)-2^3. Do 49-15=34 6*34-2^3. Do 2^3 to 8 6*34-8 =204-8 which is 196 hope this helps you

3 0

3 years ago

Read 2 more answers