Graph the inequality.

y > -5x + 2​

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

Method 1: Pythagorean Theorem

We can use the Pythagorean Theorem to solve for [tex]x[/tex]. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the legs' side lengths is equal to the length of the hypotenuse squared. Simply put, [tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse. In this case, we know that [tex]a=x[/tex], [tex]b=9[/tex], and [tex]c=15[/tex], so we get:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]x^{2} +9^{2} =15^{2}[/tex] (Substitute [tex]a=x[/tex], [tex]b=9[/tex], and [tex]c=15[/tex] into [tex]a^{2} +b^{2} =c^{2}[/tex])

[tex]x^{2} +81 =225[/tex] (Simplify exponents)

[tex]x^{2} +81-81=225-81[/tex] (Subtract [tex]81[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]x^{2} =144[/tex] (Simplify)

[tex]\sqrt{x^{2}} =\sqrt{144}[/tex] (Take the square root of both sides)

[tex]x=12,x=-12[/tex] (Simplify, remember that each positive number has two square roots: a positive one and a negative one)

In the context of the situation, we know that [tex]x=-12[/tex] is an extraneous solution because a polygon cannot have negative side lengths. Therefore, the final answer is [tex]x=12[/tex].

Method 2: Pythagorean Triples

Method 1 works, but there's an easier way to find the value of [tex]x[/tex]. If we look at the given lengths of [tex]9[/tex] and [tex]15[/tex], we can observe that this triangle is a [tex]3-4-5[/tex] right triangle enlarged by a scale factor of [tex]3[/tex], because [tex]3*3=9[/tex] and [tex]5*3=15[/tex]. The only side length that's missing is the [tex]4[/tex]. Therefore, [tex]x=4*3=12[/tex]. Hope this helps!

Answer:

1, 3, 7, 21

Step-by-step explanation:

21/1 = 21

21/3 = 7

21/7 = 3

21/21 = 1

Answer:

Factors of 21 are shown below.

Step-by-step explanation:

Dividing

21 ÷ 3 = 7

21 ÷ 1 = 21

21 ÷ 7 = 3

21 ÷ 21 = 1

Multiplying

3 x 7 = 21

21 x 1 = 21

7 x 3 = 21

1 x 21 = 21

I hope this helps! :)

Answer:

B

Step-by-step explanation:

Answer:

show more of the pict i can't tell what it is

[tex]\displaystyle -5(2-5(-3))^2=-5(17)^2=-1445[/tex]

Answer:

B (for question 7)

Step-by-step explanation:

To find the slope, we use the equation [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].

m = (-4+1)/(7+2) = -3/9 = -1/3

Since B is the only option that would give a slope of -1/3, B must be the answer.

(you can use this same method for question 8)

Answer: -1

Step-by-step explanation:  Slope = 1.000/2.000 = 0.500

 x-intercept = 2/1 = 2.00000

 y-intercept = -2/2 = -1

Hope this helps!!

Sorry if it's incorrect!!

Have a nice day!!

Answer:

i got you just tell me the question

Step-by-step explanation:

Answer:

Area = 144 inches2

or

Area = 1 feet2

Steps:

1.5 feet = 18 inches

Area =  l × w

=  8 × 18

=  144 inches2

or

8 inches = 0.66666666666667 feet

Area =  l × w

=  0.66666666666667 × 1.5

=  1 feet2

Answer:

1.33 yd

Explain: theres a table through which I counted out

Answer:

Step-by-step explanation:

Angle.            119.               61.        29

angle 1.            61.              61.         Not sure

angle 4.         119.                119.       Not sure

Answer:

A fraction simply tells us how many parts of a whole we have. You can recognize a fraction by the slash that is written between the two numbers. We have a top number, the numerator, and a bottom number, the denominator. For example, 1/2 is a fraction.

Step-by-step explanation:

Answer:

a quantity that is not a whole number

Answer:

1160 cm^2

Step-by-step explanation:

Surface area=2(lw)+2(hl)+2(hw)

So, surface area=2(15x20)+2(8x15)+2(8x20)

=2(300)+2(120)+2(160)

=600+240+320

surface area=1160 cm^2.

The surface area of the cuboid is 1160 cm²

What is the surface area of cuboid?

The total surface area of the cuboid is given by the formula

Surface Area = 2 ( LH + LW + HW )

where ,

Length of the cuboid = L

Width of the cuboid = W

Height of the cuboid = H

Given data ,

Length of the cuboid L = 15 cm

Width of the cuboid W = 20 cm

Height of the cuboid H = 8 cm

Surface Area of the cuboid = 2 ( LH + LW + HW )

Substituting the values of L , H and W in the equation , we get

Surface Area of the cuboid = 2 ( ( 15 x 8 ) + ( 15 x 20 ) + ( 20 x 8 ) )

So ,

Total surface area of the cuboid = 2 ( 120 + 300 + 160 ) cm²

                                                      = 2 ( 580 ) cm²

                                                      = 1160 cm²

Hence , the Total surface area of the cuboid is 1160 cm²

To learn more about surface area of the cuboid click :

https://brainly.com/question/26403859

#SPJ2

Answer:

it's 4.

Step-by-step explanation:

Answer:

4

Step-by-step explan

cus

Answer:

H is right

Hope this helped!

Answer: the answer is G because the numbers equal up because twice of dram which is 12 will equal horro which is 12

Step-by-step explanation: plz mark brainliest

Answer:

(2,10)

Step-by-step explanation:

so we can substitute the y = 5x into y = 6x - 2

so we would have

5x = 6x - 2

subtract 6x from both sides

-x = -2

remove the negative signs since they're on both sides

x = 2

so now we can substitute x = 2 into y = 5x

so we would get

y = 5(2)

y = 10

So the point will be (2,10)

Check:

y = 6x - 2

10 = 6(2) - 2

10 = 12 - 12

10 = 10

y = 5x

10 = 5(2)

10 = 10

Answer:

(2, 10)

Step-by-step explanation:

substitute the given value of y into the equation (y=5x)

6x-2 =5x

solve for x

"add" the -2 to the other side to leave the x by itself on one side

6x=5x+2

"subtract" the 5x to the other side to combine the x's

6x-5x=2

collect like terms

x=2

so you now have your x to solve  for y

substitute the x into the equation (y=5x)

y=5(2)

simple

y=10

and there you have it!!

hope this helps!!!

Answer:

x=7

Step-by-step explanation:

The triangle is right angled meaning that one of the angles is 90⁰.

90+30+(9x-3)=180 (Angle sum property of a triangle)

120+9x-3=180

9x-3=180-120

9x-3=60

9x=60+3

x=63/9

x=7

The angle will be (9×7)-3=60⁰

Answer:

I think it is 64 but not 100% sure

Hope this helps :)

Given:

Dustin wants a new pair of shoes that cost $40.

His mom pays 75% of the cost and dustin pays 25%.

To find:

How much do they each pay?

Solution:

We have,

Total cost of shoes = $40

His mom pays 75% of the cost.

[tex]\text{Mom pays}=\dfrac{75}{100}\times 40[/tex]

[tex]\text{Mom pays}=\dfrac{3}{4}\times 40[/tex]

[tex]\text{Mom pays}=30[/tex]

Dustin pays 25% of the cost.

[tex]\text{Dustin pays}=\dfrac{25}{100}\times 40[/tex]

[tex]\text{Dustin pays}=\dfrac{1}{4}\times 40[/tex]

[tex]\text{Mom pays}=10[/tex]

Therefore, Dustin pays $10 and his mom pays $30.

Answer:

x=1, y=2

Step-by-step explanation:

thats where they intersect so its the solution

Answer:

RY= 7

ZR=4.5

WY=14

Step-by-step explanation:

Answer:

-4/3

9/4

Step-by-step explanation:

hope this helped needed a longer answer lol

Answer:

18 books done and 6 books left

Step-by-step explanation:

24 *3/4 = 18

Answer:

18 books done and 6 books left

Step-by-step explanation:

Answer:

I couldn't fuigure out the answer but here is a link that may help

Link:

https://brazosport.edu/Assets/faculty/agut-ioana/intermediate-algebra/33.%20Solving%20Quadratic%20Equations.pdf

Answer:

c or d

Step-by-step explanation:

Answer:

Diameter:6.08

Radius=D/2=6.08/2=3.04

Step-by-step explanation:

Answer:

The radius is

[tex] \sqrt{29} [/tex]

The diameter is

[tex]2 \sqrt{29} [/tex]

Step-by-step explanation:

The area of the circle is represent as

[tex] a = \pi \times r {}^{2} [/tex]

Where r is the radius and a is the area. Since pi is a irrational number, we won't focus on doing nothing with that instead we just take the sqr root of both sides to find the r or radius.

[tex] \sqrt{29} [/tex]

Which is the radius and it cant be simplified so the radius is

[tex] \sqrt{29} [/tex]

The diameter is twice longer than the radius so we

[tex]2 \times \sqrt{29} [/tex]

Which is

[tex]2 \sqrt{29} [/tex]

Answer:

intercepted arc

Step-by-step explanation:

An inscribed angle is an angle whose vertex lies on the circumference of a circle while its two sides are chords of the same circle. The arc formed by the inscribed angle is called the intercepted arc.