Find the inverse of

y=2x-10

Answer:

V = 536.8m³

Step-by-step explanation:

A = cross-sectional area

V = prism volume

V = A × length

h = perpendicular height of triangle

h² = 13² - 7²

h² = 169 - 49

h² = 120

h = 10.954...

A = ¹/₂.b.h

A = ¹/₂(14)(10.954...)

A = 76.681...

V = 76.681... × 7

V = 536.768... ⇒ 536.8m³

Answer:

(x+2)(x+3)(x-3)

Step-by-step explanation:

Group and factor out the greatest common factor (GCF), then combine.

Hope this helps!!

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question;

A kid traveled a distance of 9 km by bike, and then walked a distance of x km.

a.Find the total distance traveled in terms of  x

b. If the total distance was less than 30 km, form an inequality in x, and

then solve it!

a) Total distance = distance travelled by bike + distance walked

Total distance = 9km + xkm

Total distance = (9+x)km

b)  If the total distance was less than 30 km, the inequality representing this is;

9+x < 30

Subtract 9 from both sides;

9+x-9 < 30-9

x < 21

hence the solution to the inequality is x< 21

Step-by-step explanation:

The general form for a quadratic or cubic equation is:

y = a (x − h)ⁿ + k

If |a| is between 0 and 1, it's a vertical shrink.  If |a| is greater than 1, it's a vertical stretch.  If a is negative, there's a reflection over the x-axis.

h is the horizontal translation.  If h is positive, there's a translation to the right.  If h is negative, there's a translation to the left.  (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)

k is the vertical translation.  If k is positive, there's a translation up.  If k is negative, there's a translation down.

f(x) = (x + 1)³ − 7

f(x) = 1 (x − -1)³ + -7

a = 1, h = -1, k = -7

This is y = x³ translated 1 unit to the left and 7 units down.

g(x) = -½ (x − 2)³

g(x) = -½ (x − 2)³ + 0

a = -½, h = 2, k = 0

This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.

y = -(x − 4)³ − 2

y = -1 (x − 4)³ + -2

a = -1, h = 4, k = -2

This is y³ reflected over the x-axis, translated 4 units right and 2 units down.

Answer:

x=12

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

Answer:

I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..

Step-by-step explanation:

Answer: 69%

Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100

Answer:

9. -2

10. 0

Step-by-step explanation:

It is not undefined because the slope of horizontal lines are 0

Answer:

true

Step-by-step explanation:

the answer is true hope this helps

Answer

Maximum point of (-2, 4)

Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

Answer:

(x-1)(x+2)(4x + 3) = 0 ]

Step-by-step explanation:

Answer:

14:6, 21:9, 28:12

Step-by-step explanation:

Answer:

[tex]34 + 51 = 85[/tex]

Step-by-step explanation:

Given

[tex]34 + 51[/tex]

Required

Use GCF and distributive property to determine the sum

34 can be expressed as:

[tex]34 = 2 * 17[/tex]

51 can be expressed as:

[tex]51 = 3 * 17[/tex]

So, the GCF of both numbers is 17

[tex]34 + 51[/tex] can then be expressed as:

[tex]2 * 17 + 3 * 17[/tex]

Apply Distributive Property, we have:

[tex]17(2 + 3)[/tex]

Solving further:

[tex]17 * 5[/tex]

[tex]85[/tex]

Hence:

[tex]34 + 51 = 85[/tex]

Answer:

Step-by-step explanation: no

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]

Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

Answer:

$6750 per year

Step-by-step explanation:

15% / 100 = 0,15

0,15 x $45,000 = $6750 he will get per year

Answer:

the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54

b. 21.4

40% of 54 +(-1/5)

c. No because the 60% of 54 is 32.4

Answer:

2:4

Step-by-step explanation:

Answer:4

Step-by-step explanation: please just trust me!

Answer:

y = 2(x-5) + 7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf Isosceles \ triangle}}[/tex]

Step-by-step explanation:

An equilateral triangle has 3 equal sides and angles.

A right triangle contains one right or 90 degree angle.

An isosceles triangle has 2 equal sides and base angles.

A scalene triangle has no equal sides or angles.

The triangle given has the sides of 5 cm, 5 cm, and 7 cm.

Therefore, 2 of the sides are equal and this must be an isosceles triangle.

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.790/2.3=2.5173913

Answer:

2.51739130435

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2