if a×b÷2=a÷2 then b =​

Answer:

y = 13 × [tex]4^{x}[/tex]

Step-by-step explanation:

Substitute the given values into the exponential

Using (0, 13 ) , then

13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so

a = 13

y = 13 [tex]b^{x}[/tex]

Using (3, 832 )

832 = 13 b³ ( divide both sides by 13 )

64 = b³ ( take cube root of both sides )

b = [tex]\sqrt[3]{64}[/tex] = 4

The exponential function is

y = 13 [tex](4)^{x}[/tex]

Answer:

Step-by-step explanation:

∠K = ∠c

∠K = 3x - 5

∠K + ∠M + ∠L = 180 {angle sum property of triangle}

3x -5  + 40 + 2x = 180

3x + 2x - 5 + 40 = 180

  5x + 35 = 180

         5x = 180 - 35

         5x = 145

           x = 145/5

x = 29

Answer:

Step-by-step explanation:

As per the question we have:

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

For slope 1

y=x-1

Answer: Gottfried Wilhelm Leibniz

Step-by-step explanation:

Gottfried Wilhelm Leibniz

Answer:

The answer is (C)

Step-by-step explanation:

Answer: x+8

Step-by-step explanation:

Answer:

12

thStep-by-step explanation:

Answer:

[tex]12x^{2} -11x-5[/tex]

Step-by-step explanation:

1) Distribute

[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]

2) Distribute

[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]

3) Distribute

[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]

4) Subtract the numbers

[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]

5) Combine like terms

[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]

Answer:

15

Step-by-step explanation:

Answer:

15

The answer is 15 (if 3/5 is a fraction)

Answer:

5/6

Step-by-step explanation:

1/12 + 3/4 = 9/12

9/12 + 1/12 = 10/12

simplify 10/12

= 5/6

Answer:

2x = 70

Step-by-step explanation:

4x - 2x = 70

2x = 70

x = 70/2

x = 35

Answer:

About 1205.12352941 people per square mile in 2010

About 1329.36306853 people per square mile in 2015

Explanation:

take population and divide by land area

for 2015 pop do total pop divided by 9.7 plus total pop

Answer:

i think the answer is 171,500 i don't know i am trying.

Step-by-step explanation:

first you multiply 35 times 3 you will get 85,750 then you multiply 10 times 2 you will 20 and multiply both of them and you will get 171,500.

Answer:

125

Step-by-step explanation:

5^3 = 5 x 5 x 5

5 x 5 x 5 = 25 x 5

25 x 5 = 125

answer:

125

step by step explaination:

5³

5×5×5 = 125

Answer:

go to desmos. com there's a free graphing calculator that helps

Answer:

Step-by-step explanation:

=-65*5

=-325

Answer:

g(f(x)) = x

Yes, the functions are inverses.

Step-by-step explanation:

Hi there!

We're given:

[tex]f(x) = 8x-7[/tex]

[tex]g(x)=\displaystyle\frac{x+7}{8}[/tex]

To solve for g(f(x)), plug f(x) into g(x) as x:

[tex]g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x[/tex]

Because g(f(x)) = x, the two functions are inverses.

I hope this helps!

1. D. (0,3)

2. B. 650

3. C. 780

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1000 millimeters are found in centimeters

Step-by-step explanation:

there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2

Answer:

On a coordinate plane, a vertical line goes through x = 3.

Step-by-step explanation:

I haven't looked at the other choices, but clearly this is a function

Answer:

will find at bottom

Step-by-step explanation:

A relation is a function of x if each value of x in the domain corresponds to exactly one value of y in the range. In other words, there should be no repeated values of x with different values of y.

Let's analyze each of the given tables to determine which one represents a function of x:

1. Table 1: In this table, we have x values of -1, 2, 2, and 3. Notice that x = 2 appears twice with different y values. This violates the definition of a function, so Table 1 is not a function of x.

2. Table 2: This table has x values of -8, -8, 1, and 1. Similar to the previous table, x = -8 and x = 1 appear twice with different y values. Therefore, Table 2 is not a function of x.

3. Table 3: In this table, all the x values are the same, which is -5. However, the corresponding y values are different (-9, 7, -9, and 2). Since each x value has a unique y value, Table 3 represents a function of x.

4. Table 4: This table consists of x values of -3, -2, 4, and 7. Each x value corresponds to a unique y value (-1, 5, 0, and -1). Therefore, Table 4 also represents a function of x.

To summarize, the relations that are functions of x are Table 3 and Table 4.

Answer:

6 feet in the distance

Step-by-step explanation:

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle ABC with extended line CD.

Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.

The ∠BCD is straight angle so it will be 180°.

∠BCD = ∠ACB + ∠ACD

∠ACB + 60 = 180

∠ACB = 180 - 60 = 120°.

An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.

Since∠ACB > 90° therefore triangle ABC is an obtuse angle.

Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".

For more about triangles,

https://brainly.com/question/2773823

#SPJ5

Answer:

- 5198/11

Step-by-step explanation:

Answer:

4×sqrt(5) inches

Step-by-step explanation:

Pythagorean theorem states that (for right triangles) if you square each shorter side and add those together, you will get the sum of the longest side (hypotenuse) squared.

This is commonly written as:

a^2 + b^2 = c^2, where c is the hypotenuse.

((For right triangles this will always be opposite the 90° angle.))

Since you know one of the shorter sides and the hypotenuse, rewrite the equation as such:

c^2 - b^2 = a^2, where a is the unknown length

This goes to:

sqrt(c^2 - b^2) = a

sqrt((12in)^2 - (8in)^2) = a

sqrt(144sqin - 64sqin) = sqrt(80sqin) = a

This simplifies to:

sqrt(16sqin)×sqrt(5sqin) = 4in×sqrt(5sqin) = a

Answer:

Step-by-step explanation:

689×147-689×47

=689(147-47)

=689(100)

=689×100

Answer:

1)

Step-by-step explanation:

The opposite angles formed by two intersecting lines are of equal measures.

They are called vertically opposite angles.