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1 year ago

What is ∣−0.9| i found this in khan academy and i do not get it

Mathematics

1 answer:

dalvyx [7]1 year ago

4 0

Answer:

$0.9$

Step-by-step explanation:

$\text{Absolute value is always positive. So,}\\\\|-0.9| = 0.9$

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What is the multiplicative inverse of the sum of 1/3 + 1/5 ? Express in simplest form

Dima020 [189]

$\frac{8}{15}$

My Work/Reasoning:
First we find the sum of 1/3 and 1/5. $\frac{1}{3} + \frac{1}{5} = \frac{5}{15} + \frac{3}{15} = \frac{8}{15}$
Then, we find the multiplicative inverse, I guess it's also known as the reciprocal. $\frac{8}{15}$ turns into $\frac{15}{8}$
Finally, we simplify. $\frac{15}{8}=1 \frac{7}{8}$

5 0

3 years ago

7x - y = - 1 + -7x + 3y = - 25

Fittoniya [83]

Hope this helps you out :D

It’s 2 equations so in order to solve the previous system, you can use different methods, as for example substitution or addition of equations. In this case, you use the second one, due to the fact you have 7x in one equation and -7x in the other equation. In this way you can easily eliminate variable x and then solve for y. With the value of y you can replace in any of the two equations and solve for x.

7x-y=-1
-7x+3y=-25

Summarizing, you proceed as follow:
- add up the given equations

7x - y = -1

-7x+3y=-25
——————
0 +2y=-26

- solve for y in the previous equation

2y=-26
y=-26/2
y=-13

- replace the obtained value of y in one of the given equations, and solve for x

7x-(-13)=-1

7x+13=-1

7x=-1-13

7x=-14

x=-14

x=-14/7

x=-2

Hence, the solution of the given systems of equation is:

X=-2

Y=-13

4 0

3 years ago

Write an equation of the line that passes through each pair of points. (-3,9), (-3,-5)

Fantom [35]

Answer:

x = -3

Step-by-step explanation:

x is -3 in all values so we just write an equation.

6 0

2 years ago

Read 2 more answers

Solve the equation. Check your answer. 6x - 3= 5x +5 X=

ZanzabumX [31]

Answer:

x = 8

Step-by-step explanation:

6x - 3 = 5x + 5

Move variable to the left hand side and change their sign.

$\sf \: 6x - 5x - 3 = 5$

Calculate like terms.

x - 3 = 5.

Move constant to the right hand side and change their sign.

x = 5 + 3
x = 8

Check our answer :-

6x -3 = 5x + 5

plug the 8 as x.

6 ( 8 ) - 3 = 5 ( 8 ) + 5
48 - 3 = 40 + 5
45 = 45

LHS = RHS

5 0

2 years ago

Please tell me the area and attach work the most important part is work since I’m confused on subtracting the side lengths

Ymorist [56]

Answer:

The area is 288 feet

Step-by-step explanation:

So the best way to solve problems like this is to think about the parts of the object like different things, and iscolating them.

We see that the length of the rectangle is 21, and the width is 13.

Ignore the 5 and 16, since they tell you what you neeed to know about the other smaller rectangle.

So lets just use the formula for area of a rectnagle, which is l*w, using the 21 and 13 values above:

21*13= 273

Now lets look at the second part.

I think this is the part you were confused with, so I will go into detail on how we find the area of this part of the rectangle

We see that there is a 16...However, we already know that the width is 13. So how is this? The 16 includes both the width of the rectangle and of the smaller piece.

Since we already know that the width of the rectangle is 13, but the small segment makes it 16, we can subtract the total wifth by the width of the rectangle, which will find us the width of the segment:

16-13=3

So the width is 3.

This is not what we do with the 21 and 5. When we look at the segment, we see that the 5 covers all of it, and does not cover any of the rectangle's length. This basicallly means that the 5 length is only for the segment, so this is considered our length.

Now we can use this to figure out the segments area:

3*5=15

Now, since we need to find the combined area of the both the segment and the rectangle, we need to add them together:

273+15=288

So the area is 288 in total.

Hope this helps!

7 0

3 years ago