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Answer:

[tex] - 3x + 12 < 18 \\ - 3x < 18 - 12 \\ - 3x < 6 \\ - x < \frac{6}{3} \\ - x < 2 \\ x > - 2 \\ thank \: you[/tex]

Answer:

x > -2

Step-by-step explanation:

Q. Solve the inequality.

-3x + 12 < 18

Solve for x.

Step 1:- Move constant to the right hand side and change their sign.

Step 2:- Subtract.

Step 3:- Divide both side of the inequality by -3 and flip the inequality sign.

Answer:

Answer:

3/4

Step-by-step explanation:

rise/run = 3/4

Answer:

side a = 30 feet long.and side b = 30-14 = 16 feet long.

Step-by-step explanation:

Right triangle, with sides a, b=a-14 and h=34

By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196

Simplify to get 1156 = 2a2 - 28a + 196

Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0

Divide all terms by 2: a2 -14a - 480 = 0

Use quadratic equation to find that a = 30 or a = -16.

a = -16 will not work.

Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.

Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.Right triangle, with sides a, b=a-14 and h=34

By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196

Simplify to get 1156 = 2a2 - 28a + 196

Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0

Divide all terms by 2: a2 -14a - 480 = 0

Use quadratic equation to find that a = 30 or a = -16.

a = -16 will not work.

Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.

Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.

The side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The shorter leg of a right triangle is 14 feet less than the other leg.

From the Pythagoras theorem:

hypotenuse² = perpendicula² + base²

perpendicular = base - 14

34² = (base - 14)² + base²

34² = base² - 28base + 196 + base²

2base² - 28base - 960 = 0

base = 30, -16

side length cannot be negative

base = 30 feet

The length of another leg:

perpendicular = 30 - 14 = 16 feet

Thus, the side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.

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Answer:

M' (-2 , -5),  A'(1 , -1),  P'(-7 , -1)

Step-by-step explanation:

Rotation clockwise 90° = rotation CCW 270°

Formula for rotation CCW 270° around a point (x',y') for original (x,y)

x'' = (x-x') cos 270° - (y-y') sin 270° + x'

y'' = (x-x') sin 270° + (y-y') cos 270° + y'

cos 270° = 0 and sin 270° = -1

x'' = - (y-y') sin 270° + x' = (y-y') + x'

y'' = (x-x') sin 270°  + y' = (x'-x) + y'

M': x = (4 - -1) + (-7) = -2

     y = (-7 - -3) + (-1) = -5

A': x = (7 - -1) + (-7) = 1

    y = (-7 - -7) + (-1) = -1

check

P': x = (-1 - -1) + (-7) = -7

    y = (-7 - -7) + (-1) = -1

-------------------------------------------------

Another way of thinking is to suppose P is (0,0) and locate other points' coordinate relative to P. Such as M(4,5), A(0,8)..

when it rotate CW 90° (x,y) -> (y , -x) will becomes (5 , -4) and (8 , 0). while (5 , -4) relative to p(-7 , -1) is (-7+5 , -1-4) i.e. ( -2 , -5) at original plane and (1 , -1) for point A'

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Answer:

it's W=2

Step-by-step explanation:

beacuse you devide both sides!! I hope this helps!!! if not let me know!!!

Answer:

9x + 10y - (-x + 9y) (9x + 10y) + x -9y

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Answer:

I think the answer is 7 units

Step-by-step explanation:

you would expect it to be 5 units, but because of the diagonal angle it adds a percentage off each unit

Answer:

a number line is shown from negative 6 to positive 6 with increment of 1.

The percentage increase in the value of y due to the increase in x by 21% is 10%

Inverse relationship :

y = k/√x - - - - - - (1)

Increase in x by 21% = 0.21

y = k/√1+0.21x

y = k/√1.21x

y = k/ 1.1√x - - - (2)

Comparing the (1) and (2)

y has changed from 1 to 1.1

Increase in y = (1.1 - 1) = 0.1

Expressing the increase as a percentage :

0.1 × 100% = 10%

Hence, the percentage increase in y is 10%

Learn more : https://brainly.com/question/18405415

Answer:

Zero solutions

Step-by-step explanation:

When you simplify the equation you get that 4x+2=4x+3. That is not equal so therefore it has zero solutions

Answer:

The only solution could be is if u had x as a variable, if not then you don't have a solution because you won't know what x is.

Step-by-step explanation:

Answer: Middle integer = -24

Step-by-step explanation: First understand the formula for finding three consecutive even numbers.

Formula used: -4(n+n+4)=192

Let's solve your equation step-by-step.

−4(n+n+4)=192

Step 1: Simplify both sides of the equation.

−4(n+n+4)=192

(−4)(n)+(−4)(n)+(−4)(4)=192(Distribute)

−4n+−4n+−16=192

(−4n+−4n)+(−16)=192(Combine Like Terms)

−8n+−16=192

−8n−16=192

Step 2: Add 16 to both sides.

−8n−16+16=192+16

−8n=208

Step 3: Divide both sides by -8.

−8n

−8

=

208

−8

n=−26

Now find the middle integer.

Formula used: n+n+2+n+4

-26+(-26)+2+(-26)+4

-26+(-24)+(-22)

Middle integer=-24

Answer:

-24

Step-by-step explanation:

Answer:

I brlive the answer is B.........

Answer:

The answer is C) ASA

Step-by-step explanation:

This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.

Answer:

the answer is option 4th

Answer:

c

Step-by-step explanation:

c

Answer:

In fraction form, it would be 3/2

The number of yards of material remains sewing blanket is 2.5 yards.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Keith buys 3 yards of materials to make a blanket.

He trims off a total of 1/6 yards before sewing.

So, 1/6 ×3

= 3/6

= 0.5 yards

Remaining material =3-0.5

= 2.5 yards

Therefore, 2.5 yards of material remain for sewing blanket.

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Answer:

A is the correct answer

Step-by-step explanation:

hope this helps

Answer: This person worked 40 hours at a $7.50 rate.

Step-by-step explanation: Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay. This person worked 40 hours at a $7.50 rate.

Answer:

Target

Step-by-step explanation:

Home depot

15 dollars/ 30 ornaments = .50  per ornament

Target

9 dollars/ 20 ornaments =.45 per ornament

Target costs less

Answer:

Target is cheaper .45 each

Home Depot is .50 each

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

n over 81 = 2 over 27 = 27n over 27 = 2×81 over 27 =6

Let x equal the number

 Tip: Go step-by-step

4 times a number is translated to... 4x

Is equal to means =

to the number increased by 21 is... x+21

Your equation is: 4x=x+21

Subtract x from both sides

3x=21

Divide three from both sides

x=7

Check!

4(7) = 7+21

28=28!

Correct!

Have a nice day!!

Answer:

In the forth quadrant, below and to the right of the origin.

x > 0 means it is to the right of the y axis

y < 0 means it is below the x axis.

Step-by-step explanation:

on the y axis

Step-by-step explanation:

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