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3 years ago

How do I solve this inequality?(I'll give brainliest if you answer with the steps and answer!)

Mathematics

2 answers:

bogdanovich [222]3 years ago

8 0

Answer:

-8>x

Step-by-step explanation:

-26>2x-10

First we add 10 to both sides:

-26+10>2x-10+10

Simplify:

-16>2x

Divide both sides by 2:

-16÷2>2x÷2

Simplify:

-8>x

This is correct as -7 is the largest whole number that would go against this inequality since:

-26>2(-7)-10

-26>-14-10

-26>-24 ❌

But anything less than -8 will work since:

-26>2(-8)-10

-26>-16-10

-26>-26 ❌ since they are equal.

djverab [1.8K]3 years ago

7 0

-8>xStep-by-step explanation:-26>2x-10First we add 10 to both sides:-26+10>2x-10+10Simplify:-16>2xDivide both sides by 2:-16÷2>2x÷2Simplify:-8>xThis is correct as -7 is the largest whole number that would go against this inequality since:-26>2(-7)-10-26>-14-10-26>-24 ❌But anything less than -8 will work since:-26>2(-8)-10-26>-16-10-26>-26 ❌ since they are equal.

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1.10.4 Test: Coordinate Geometry HELP PLEASE

Zielflug [23.3K]

Answer:

$M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$M = (-1,4)$

$D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}$

$D =10\ units$

Step-by-step explanation:

Solving (1):

1a) This has already been answered in the attachment, and the selected option is correct.

i.e. Midpoint (M) is:

$M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

1b) Midpoint of (-2,-1) and (0,9)

This implies that:

$(x_1,y_1) = (-2,-1)$

$(x_2,y_2) = (0,9)$

So:

$M = (\frac{-2+0}{2},\frac{-1+9}{2})$

$M = (\frac{-2}{2},\frac{8}{2})$

$M = (-1,4)$

2a) This has already been answered in the attachment, and the selected option is correct.

i.e. Distance (D) is:

$D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}$

1b) Midpoint of (2,7) and (8,-1)

This implies that:

$(x_1,y_1) = (2,7)$

$(x_2,y_2) = (8,-1)$

So:

$D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}$

$D = \sqrt{(8 - 2)^2 +(-1 - 7)^2}$

$D = \sqrt{(6)^2 +(-8)^2}$

$D = \sqrt{36+64}$

$D = \sqrt{100}$

$D =10\ units$

6 0

3 years ago

The sum of two numbers is 51. If one fourth of one number exceeds one fifth of another number by 6, which of the following is th

Dmitrij [34]

Answer:

Let X be the smaller number

Then the larger number is X + 24

X + (X + 24) = 58

2X + 24 = 58

2X = 34

X = 17

So the smaller number is 17, the larger number is 41 (17 + 24)

5 0

3 years ago

The ratio of red tacks to blue tacks on the bulletin board is 3 to 5. There are 50 blue tacks. How many red tacks are there?

bazaltina [42]

Answer:

If we want our ratio to stay the same (3 to 5), we'll need to pair a set of 3 blue tacks with every set of 5 red tacks. In a group of 50, we can make 10 groups of 5 red tacks, so we'll also need 10 groups of 3 blue tacks, which gives us a total of 30 blue tacks

5 0

4 years ago

Can a number be a factor and a multiple of<br> itself?

valkas [14]

Answer:

Yes

Step-by-step explanation:

Example, the number 4:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44

Factors of 4: 1, 2, 4

5 0

3 years ago

Read 2 more answers

A new school will have three playgrounds. Two playgrounds will be large and one playground will be small. The district administr

Andrews [41]

Answer:

you multiple two numbers and you devide both sides you get the answer

7 0

3 years ago

How do I solve this inequality?(I'll give brainliest if you answer with the steps and answer!)​

How do I solve this inequality?(I'll give brainliest if you answer with the steps and answer!)