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9) Write an equation in point-slope form for the given point and slope:
Point: (-7, 5)
Slope: 3

3 Answers:

Choice A

Choice D

Choice E

=====================================================

Explanation:

The list of perfect squares is:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...

If we apply the square root to any of those numbers, then the number is rational.

For example, [tex]\sqrt{25} = 5 = \frac{5}{1}[/tex]

A rational number is any fraction of two integers, where zero is not in the denominator.

Based on this, we can see that choice A represents a rational number because we are summing rational numbers.

More specific proof is to write [tex]\sqrt{4} + \sqrt{16} = 2 + 4 = 6 = \frac{6}{1}[/tex] showing it is rational.

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Choice B is ruled out because [tex]\sqrt{5}[/tex] is irrational. We cannot write it as a fraction of two integers.

Choice C is ruled out for similar reasoning as choice B. This time [tex]\sqrt{24}[/tex] is irrational.

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

Choice D is another answer because [tex]2*\sqrt{4} = 2*2 = 4 = \frac{4}{1}[/tex] is rational.

Choice E is another answer as well because [tex]\sqrt{49}*\sqrt{81} = 7*9 = 63 = \frac{63}{1}[/tex] is rational.

Choice F is ruled out because [tex]\sqrt{12}[/tex] is irrational, which in turn makes [tex]3\sqrt{12}[/tex] irrational as well.

Answer:

61

Step-by-step explanation

sped

Answer: b=−10x−10.54

Step-by-step explanation:

Let's solve for b.
30.4x+b=3.4(6x−3.1)

Step 1: Add -30.4x to both sides.

b+30.4x+−30.4x=20.4x−10.54+−30.4x

Answer: b=−10x−10.54

Answer:

2500 grams

Step-by-step explanation:

convert 2.5 kilograms to grams by multiplying by 1000

= 2.5×1000= 2500grams

Answer:

1. |-6|

2. |-5|

3. |-3|

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

|-6| = 6

|-5| = 5

|-3| = 3

Answer:

The two factors of the first number are -4 and 9.

Step-by-step explanation:

We're given:

Let the two numbers be a and b:

Isolate a in the second equation and solve for b:

[tex]a+b=5\\a=5-b[/tex]

[tex](5-b)b=-36\\5b-b^2=-36[/tex]

Arrange in [tex]ax^2+bx+c=0[/tex] format:

[tex]-b^2+5b+36=0[/tex]

Divide both sides by -1:

[tex]b^2-5b-36=0[/tex]

Factor:

[tex]b^2+4b-9b-36=0\\b(b+4)-9(b-4)=0\\(b-9)(b+4)=0[/tex]

Solve for b using the zero product property:

[tex]b=-4,9[/tex]

Substitute b back into the second equation to solve for a:

[tex]a+b=5[/tex]

First, let b = -4:

[tex]a-4=5\\a=9[/tex]

Let b = 9:

[tex]a+9=5\\a=-4[/tex]

Answer:

  (c)  68 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  50° +62° +x = 180°

  x = 68° . . . . . . . . . . subtract 112° from both sides

Answer:

187.7 m2

Step-by-step explanation:

your wecome

12x+10+4y

= 2(6x+5+2y)

=D

Answer:

No the graph is not a function

Step-by-step explanation:

If you draw vertical lines onto the graph, multiple points will hit it.

Answer:

This graph is not a function

Step-by-step explanation:

The input x is used more than once

it is not a parabola

The measure of angle 1 is 71° ⇒ c

Step-by-step explanation:

Look to the attached figure:

∵ Line l intersect line n

∴ Angle 63° and angle (15x - 3) are linear pair

- The sum of the linear pair angles is 180°

∵ 63° + (15x - 3)° = 180°

- Add like terms

∴ 60 + 15x = 180

- Subtract 60 from both sides

∴ 15x = 120

- Divide both sides by 15

∴ x = 8

∵ Line m intersect line n

∴ Angle (8x + 7) and angle 1 are vertical opposite angles

- The vertical opposite angles are equal in measure

∴ m∠1 = 8x + 7

∵ x = 8

- Substitute the value of x to find m∠1

∴ m∠1 = 8(8) + 7

∴ m∠1 = 64 + 7

∴ m∠1 = 71

The measure of angle 1 is 71°

Learn more:

You can learn more about the parallel lines in

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Answer:

grab

Step-by-step explanation:

hahahahaha

Answer:

D

Step-by-step explanation:

the given expression is equivalent to (4-3)y+8

A company is tracking how many likes it receives for a new product they have posted online. The total estimated likes over the four-day period is 580.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

A company is tracking how many likes it receives for a new product they have posted online.

So far they have received 499 likes on Day 1,

On Day 2 they received 239 likes,

154 on Day 3,

92 on Day 4.

If they estimate each day's total to the nearest ten.

Then it will become 100 likes on Day 1,

On Day 2 they received 240 likes,

150 on Day 3,

90 on Day 4.

The total estimated likes over the four-day period

= 100 + 240 +150 + 90

= 580

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Answer:

-34b4

Step-by-step explanation:

Since the variables are the same b4, you just add the constants (-16 & -18).

Answer:

[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]

geometric sequence: [tex]\sf a_n = a_{n-1} \ x \ r[/tex]   where "r" is common ratio

Find "r" = second term ÷ first term = 20  ÷ -10 = -2

Recursive rule:

[tex]\boxed{\sf t_n = r(t_{n-1})}[/tex]

[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]

Answer:

The area of the shape is 49.

Step-by-step explanation:

The shape is a trapizoid, so we use the formula: I've attached an image below.

H stands for height, the height is 7.  b1 is 3 (the first base length) and b2 is 11 (the second base length.)

Now, we plug it into the formula.

A=1/2(7)(3+11)

A= 49.

Hope this helps. :)

Answer:

Step-by-step explanation:

Remark

If you learn how to do this, a part of science called dimensional analysis will  come more easily to you. It looks like this.

7 yds [3 ft/yd] [12 in / ft] = 252 inches.

Notice how it works. In the first set of brackets, the yards cancel. You have 21 feet. In the second set of brackets, the feet cancel, and you are left with inches.

Proportions

If this does not appeal to you, you can do it the standard way.

1 yard / 3 feet = 7 yards / x (feet)               Cross Multiply

1 yard * x = 7 yards * 3 feet.                        Divide by yards

1 yard * x / yard = 7 yards * 3 feet/yds       The yards cancel

x = 21 feet

1 foot / 12 inches = 21 feet / x                     Cross Multiply

1 foot * x = 12 inches * 21 feet                     Divide by ft

1 foot *x / foot = 12 inches *21 ft/ft            

x = 252  inches

Answer

252 inches

Answer:

[tex]7776.45ft {}^{3} [/tex]

Step-by-step explanation:

[tex]volume \: of \: a \: cylinder = \pi \: r {}^{2} h \\ v = \pi \: \times (7.5) {}^{2} \times 44 = 3.142 \times 7.5 \times 7.5 \times 44 \\ v = 7776.45ft { {}^{} }^{3} [/tex]

Answer:

7775.4  ft^3

Step-by-step explanation:

Volume of cylinder = pi r^2  * h

                                 = pi (7.5)^2 * 44 = 7775.4 ft^3

Answer:

X can either be -4 or 11.

Step-by-step explanation:

[tex]x^{2} - 7x - 34 = 10\\\\Make this into a quadratic equation:\\\\x^{2} - 7x - 44 = 0\\ \\Find the factor pairs of -44 and their sums:\\-1,44 sum is 43\\ -2,22 sum is 20\\-4,11 sum is 7\\1, 44 sum is 45\\2, -22 sum is 20\\4, -11 sum is -7\\\\\\Find a sum that is equal to the coefficient of x which is -7 in this case. As we can see the pair 4, -11 corresponds to a sum of -7, therefore we can use this to factorise this quadratic equation and get two solutions:\\\\(x + 4) (x - 11) = 0\\[/tex]

If we set (x+4) to zero then x equals -4

If we set (x-11) to zero then x equals to 11.

So x can be -4 or 11.

Answer:

Step-by-step explanation:

8(7n - 2) - 6(7n + 1)

use the distributive property: a(b + c) = ab + ac

= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1

= 56n - 16 - 42n - 6

combine like terms

= (56n - 42n) + (-16 - 6)

= 14n - 22

Answer:

=> 14n - 22

Step-by-step explanation:

8(7n-2) -6(7n+1)

=> 56n - 16 - 42n -6

=> 14n - 22

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

              Solve the Inequality.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

              x<-4

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                      First, add 6x on both sides:

-2x+3+6x<-13

Add the x's:

4x+3<-13

Now, subtract 3 on both sides:

4x<-13-3

4x<-16

Divide by 4 on both sides:

x<-4

So the values of x that are less than -4 will make the given inequality true.

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

Answer:

therefore 1. 100 square feet and 2. 270 square feet

Step-by-step explanation:

1. Area for trapezium is (a+b)/2 times height

[tex]\frac{a + b}{2} *h\\[/tex]

[tex]\frac{9 + 16}{2} * 8[/tex]

= 100

2. Area for kite is ab/2 where a and be are the perpendicular diagonals:

[tex]\frac{ab}{2}[/tex]

[tex]\frac{10 * 54}{2} = 270[/tex]

Answer:

8/3 units squared

Step-by-step explanation:

Surface area of Cube = 6(L^2)

   6((2/3)*(2/3))

= 6(4/9)

= 24/9

= 8/3

Answer:

400 minutes

Step-by-step explanation:

Amelia speed = 80 minutes

raj = ?

80 ×5 =400

Answer:

∠b = 53°

Explanation:

Complimentary angles are when two angles sum up to 90°

Here given:

∠a : 37°

∠b : missing angle

These angles sum up to 90 degree:

x + 37 = 90°

x = 90° - 37°

x = 53°

The​ line-of-sight distance from the television camera to the base of the stadium​ is 1918.16 meters

A right triangle has one of its angles as 90 degrees.

Therefore, the angles and side can be found using trigonometric ratios.

Hence, the​ line-of-sight distance from the television camera to the base of the stadium​ is hypotenuse side of the right triangle formed.

sin 9° = opposite / hypotenuse

sin 9° = 300 / h

h = 300 / sin 9

h = 300 / 0.15643446504

h = 1918.15856777

h = 1918.16 meters

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Answer:

0.1691

Step-by-step explanation:

[tex]arcsin( \frac{3}{9} ) = 0.3398 \\ \sin( \frac{0.3398}{2} ) = 0.1691[/tex]