All categories

4 years ago

-18x+21>-15 or 20x-13>27

Mathematics

2 answers:

Keith_Richards [23]4 years ago

8 0

Answer:

Step-by-step explanation:

-18x + 21 > -15 20x - 13 > 27

-18x > - 15 - 21 20x > 27 + 13

-18x > -36 20x > 40

x < -36/-18 x > 40/20

x < 2 x > 2

x < 2 OR x > 2

bekas [8.4K]4 years ago

7 0

Answer:

]-∞ , 2[∪]2 ,+∞[

Step-by-step explanation:

-18x+21>-15 or 20x-13>27

⇔ -18x>-15-21 or 20x>27+13

⇔ -18x>-36 or 20x>40

⇔ x<2 or x>2

You might be interested in

Brady made a scale drawing of a rectangular swimming pool on a coordinate grid. The points (-20, 25), (30, 25), (30, -10) and (-

djverab [1.8K]

Answer:

Length = 50 units

width = 35 units

Step-by-step explanation:

Let A, B, C and D be the corner of the pools.

Given:

The points of the corners are.

$A(x_{1}, y_{1}})=(-20, 25)$

$B(x_{2}, y_{2}})=(30, 25)$

$C(x_{3}, y_{3}})=(30, -10)$

$D(x_{4}, y_{4}})=(-20, -10)$

We need to find the dimension of the pools.

Solution:

Using distance formula of the two points.

$d(A,B)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ ----------(1)

For point AB

Substitute points A(30, 25) and B(30, 25) in above equation.

$AB=\sqrt{(30-(-20))^{2}+(25-25)^{2}}$

$AB=\sqrt{(30+20)^{2}}$

$AB=\sqrt{(50)^{2}$

AB = 50 units

Similarly for point BC

Substitute points B(-20, 25) and C(30, -10) in equation 1.

$d(B,C)=\sqrt{(x_{3}-x_{2})^{2}+(y_{3}-y_{2})^{2}}$

$BC=\sqrt{(30-30)^{2}+((-10)-25)^{2}}$

$BC=\sqrt{(-35)^{2}}$

BC = 35 units

Similarly for point DC

Substitute points D(-20, -10) and C(30, -10) in equation 1.

$d(D,C)=\sqrt{(x_{3}-x_{4})^{2}+(y_{3}-y_{4})^{2}}$

$DC=\sqrt{(30-(-20))^{2}+(-10-(-10))^{2}}$

$DC=\sqrt{(30+20)^{2}}$

$DC=\sqrt{(50)^{2}}$

DC = 50 units

Similarly for segment AD

Substitute points A(-20, 25) and D(-20, -10) in equation 1.

$d(A,D)=\sqrt{(x_{4}-x_{1})^{2}+(y_{4}-y_{1})^{2}}$

$AD=\sqrt{(-20-(-20))^{2}+(-10-25)^{2}}$

$AD=\sqrt{(-20+20)^{2}+(-35)^{2}}$

$AD=\sqrt{(-35)^{2}}$

AD = 35 units

Therefore, the dimension of the rectangular swimming pool are.

Length = 50 units

width = 35 units

7 0

3 years ago

What is num 2?? I need this done by tonight!

timama [110]

Maybe absolute value

3 0

3 years ago

What is the best definition of a funtion in math?

zhenek [66]

The answer would be B

4 0

3 years ago

The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the

Nastasia [14]

Answer:

The median is -8°F

Step-by-step explanation:

Attached Table.

The median is the "middle" value from all the numbers arranged from least to greatest.

Looking at the table, we need to arrange the numbers (first week numbers) from least to greatest.

-31, -29, -9, -8, 3, 4, 6

There are 7 numbers and the middle number is the 4th one, which is -8

The median is -8°F

6 0

3 years ago

Read 2 more answers

I need to double check a answer. For measure 1 and 3 I got 117, is that right? But for measure 2 I got 63 which is wrong but I h

cupoosta [38]

Answer:

All are 63

Step-by-step explanation:

m∠1 = 180 - 117 = 63 (linear pair)

m∠2 = 63 (alternate interior angle with ∠1)

m∠3 = m∠1 = 63 (isosceles triangle property)

Hope it helps :)

Please mark my answer as the brainliest

3 0

3 years ago