which numbers below belong to the solution set of the inequality? Check all that apply. x -9 < 32 A) 41 B) 24 C) 53 D) 40 E) 36 F) 45

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

So perpendicular bisector of this line  is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y  =  −1/3x+17/3

Using Sine rule,

[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\

\implies \sin Z=\frac{5\sin (96\degree)}{24}\\

\implies Z \approx 12\degree[/tex]

Answer:

a). 3a² + 17a - 1

b). 4y (7y-6)

Step-by-step explanation:

in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4

Answer:

About 24 months

Step-by-step explanation:

1000-20= 980

980/40= 24.5

Answer: about 24 months

Step-by-step explanation:

First subtract 20 from 1000 and then divide the awnser by 40

1000-20= 980

1000/ 40= 24.5

Answer:

Step-by-step explanation:

19.33 + 2.27 + 26.48 = Total journey

19.33 + 2.27 + 26.48 = 48.08 km

Therefore, the total journey is 48.08 km

Answer:

Step-by-step explanation:

Given the expression  (x-5) and (x-4)

The product of the two factors can be expressed as follows

[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]

Opening brackets we have

[tex]=x^2-4x-5x+25[/tex]

Collecting like terms we have

[tex]=x^2-9x+25[/tex]

Answer:

x=70

z=20

y=30

Step-by-step explanation:

first find x: the sum of straight angle is 180

x+110=180

x=180-110=70

now find z: the sum of the angles of triangle is 180:

x=70, right angle=90

z+70+90=180

find y:

y+110+40=180

y=180-150=30

z=180-160=20

Answer:

x=70 degrees, y= 30 degrees, z=20 degrees

Step-by-step explanation:

110+x=180 => straight angle def.

180-110+40=y => def. of angles in triangle

x( 70 degrees) +90+z=180, z= 20 => angles in triangle

Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Answer:

Let x represent the smaller number and y represent the larger number

For the first equation

Four times a number added to 3 times a larger number is 31 is written as

4x + 3y = 31

Making y the subject we have

3y = - 4x + 31

Divide both sides by 3

That's

[tex]y = - \frac{4}{3} x + \frac{31}{3} [/tex]

For the second equation

Seven subtracted from the larger number is equal to twice the smaller number is written as

y - 7 = 2x

Making y the subject

We have

Hope this helps you

Answer:

first one (A)

Step-by-step explanation:

Answer:

[tex]x=\pm \sqrt{3}[/tex]

Step-by-step explanation:

Consider the given polynomial is

[tex]P(x)=x^2-3[/tex]

We need to find the zeros of the given polynomial.

Now,

[tex]P(x)=0[/tex]

[tex]x^2-3=0[/tex]

Add 3 on both sides.

[tex]x^2=3[/tex]

Taking square root on both sides.

[tex]x=\pm \sqrt{3}[/tex]

Therefore, zeros of the polynomial P(x) are [tex]-\sqrt{3} \text{ and }\sqrt{3}[/tex].

To verify the relationship, put [tex]x=\sqrt{3}[/tex] in P(x).

[tex]P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0[/tex]

Put [tex]x=-\sqrt{3}[/tex] in P(x).

[tex]P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0[/tex]

Since P(x)=0 for both values, therefore relationship verified.

Answer:

1008 [tex]cm^2[/tex]

Step-by-step explanation:

Given:

Triangular prism with

Base of triangle = 5 + 9 = 14 cm

Height of triangle = 12 cm

Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm

Lengths of faces = 13cm ,14cm and 15 cm respectively

To find:

Total surface area = ?

Solution:

3 faces are rectangular shape and 2 faces are triangular shape.

[tex]Area\ of\ rectangle = Length \times Width[/tex]

The formula for Total Surface Area of a triangular prism is given as:

[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]

So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].

Answer: The Y intercept is 2

Step-by-step explanation: Your Y axis is where the line crosses the graph vertically, or going up and down. If you see, your line crosses vertically at 2. Your X intercept is -2.

Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

Answer:

22m

Step-by-step explanation:

The computation is shown below:

Since it is a right-triangular garden so we use the pythagoreus theorem

As we know that

The C^2 refers to the longest side of the right-triangular garden

So,

a^2 + b^2 = c^2

a^2 + 14^2 = 26^2

a^2 + 196 = 676

a^2 = 480

So a = 22m

Hence, the other side of the garden is 22m

Answer:

formula of circumference =p=theater÷360×2×pie×r

Step-by-step explanation:

so its a right angle.so =90%

the answer is 15.70

round off.=16cm

Answer:

Step-by-step explanation:

1. ON^2=10^2-8^2=100-64=36

ON=V36=6 cm

MON=MO+ON=10+6=16 cm

2. MO=ON=V13^2=12^2=V169-144=V25=5cm

MON=MO=ON=5+5 =10cm

Answer:

54.0

Step-by-step explanation:

53.96

The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).

Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.

9 + 1 = 10

Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.

53.96

54.00

Since you are focusing on the tenth place, keep the zero sitting on that spot.

54.0

Answer:

x = 136

Step-by-step explanation:

A quadrilateral always has angles that sum to 360.  Thus, 47 + 95 + 82 + x = 360.  Subtract 47, 95, and 82 from each side and get x = 136.

Hope it helps <3

Answer:

d: Routing number

Step-by-step explanation:

To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.

Answer:

Where is the figure or picture

Answer:

A.

Step-by-step explanation:

The equation is ax^2 + bx + c = 0.

a = -1, and b = 1.

-1x^2 + 1x + c = 0

-x^2 + x + c = 0

Hope this helps!

Answer:

Hi!

The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).

Hope this helps!

xx gloriouspurpose xx

Answer:

x = 50

Step-by-step explanation:

[tex]\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50[/tex]

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

Hey there! :)

Answer:

SA = 144 cm².

Step-by-step explanation:

Find the surface area by calculating the areas of each of the lateral sides and bases:

In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:

Bases:

A = 1/2(bh)

A = 1/2(4·3)

A = 1/2(12)

A = 6 cm².

There are two bases, so:

6 × 2 = 12 cm²

Find the areas of the lateral sides using A = l × w:

5 × 11 = 55 cm²

4 × 11 = 44 cm²

3 × 11 = 33 cm²

Add up all of the areas:

12 + 55 + 44 + 33 = 144 cm².

Answer:

144 cm^2

Step-by-step explanation:

So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)

A = (4)(3) ÷ 2

A of triangle = 6

Since there are 2 triangles, you need to multiply the area by 2, which equals 12.

To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)

For the first rectangle,

A = 11 x 5

A = 55

For the second rectangle,

A = 4 x 11

A = 44

For the third rectangle,

A = 3 x 11

A = 33

Now, you need to add the areas of the triangles and rectangles together to get your surface area.

12 + 55 + 44 + 33 = 144cm^2

So, the surface area of the triangular prism is 144 cm^2.

Answer: 6,8

Step-by-step explanation:

Answer:

22%

Step-by-step explanation:

1- 11000/50000 = 0.22

2- 0.22 x 100 = 22%

.. ..

Answer:

this difference indicates that the results are independent but not reliable.