What is the equation of this line?

a) y = 3/2x

b) y = -2/3x

c) y = -3/2x

d) y = 2/3x ​

Answer:

x = 6

Step-by-step explanation:

Since, ∠1 ≅ ∠2

By angle bisector theorem,

[tex]\frac{AB}{BD}=\frac{AC}{CD}[/tex]

By substituting the measures of each side in the given ratio of the sides,

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

12 = x(x - 4)

12 = x² - 4x

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x( x - 6) + 2(x - 6) = 0

(x + 2)(x - 6) = 0

x = -2, 6

Since, measure of the sides can't be negative, x can not be negative.

Therefore, x = 6 will be the answer.

Answer:

x = 6

Step-by-step explanation:

Answer:

3 minutes and 42 seconds

Step-by-step explanation:

So I would convert that minute into seconds

7*60=420

So 420+24=444

Divide by 2

444/2=222

Now divide by 60 to convert it back to minutes

222/60= 3.7

3.7 minutes or

7/10*60=42

3 minutes and 42 seconds

Answer:

The answer is C.

Step-by-step explanation:

It adds the smallest amount of numbers. :)

Answer:

18 years, 4 months and 10 days.

Step-by-step explanation:

Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:

3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12

3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12

3,000 = 3,000

Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.

5. In Chapter 4 #25, you compared the distributions of innings per game for 24 starting pitchers in 1958 and 99 starting pitchers in 2008. Do the data provide convincing evidence that pitchers in 1958 had a greater ability to stay in games?

a. Ha Pitchers in 1958 had the same ability to stay in games

  Ha Pitchers in 1958 had a greater ability to stay in games

b. I don't know how to do this one

c. The P value is 0%

d. Since the P value is 0%

e. Since the P value is 0% we reject the null hypothesis and except alternative hypothesis. The alternative hypothesis being that the pitchers in 1958 had a greater ability to stay in games

P.s you should try looking up calculators for this stuff

P.s.s my teacher gave me this pdf of the answers

Answer:

y=5x-5

Step-by-step explanation:

find y-intercept:

0=1(5)+b

b=-5

Answer:

y = 5x - 5

Step-by-step explanation:

y = mx + b

m = 5

b = ?

Plug in the coordinates

0 = 5(1) + b

0 = 5 + b

-5 = b

Finally:

y = 5x - 5

Answer:

D, all real numbers

coefficent of the exponent is less than 1 it's decay

Step-by-step explanation:

The domain is asking for the set of x values in which the equation could possibly equal to

the answer is all real numbers

Because the coefeccient of the exponent is less than 1 it's decay

Answer:

All real numbers

Exponential growth

Step-by-step explanation:

Since this is a logarithmic equation, it will have a limit of -5. from negative 5, it will increase in both y and x values. In the equation, it says 2^x, so the greater the x value, the greater the y value. Therefore, it is increasing.

Answer:

1. ~[tex]~584040000[/tex][tex]584040000[/tex]

2. [tex]365[/tex] days

Step-by-step explanation:

First of all, it's pi, not pie. Anyways,

[tex]2*[/tex][tex]\pi * 93000000[/tex]

This is pretty simple. The answer is.... ~[tex]~584040000[/tex][tex]584040000[/tex]

[tex]24h*365days[/tex]

24 hours is equal to 1 day. So, 1 day times 365 days = 365 days.

I think it's about 3 to 5 inches depending on the case

Answer: 70

Step-by-step explanation:10x70=700+300=1,000

Answer:

Since the value is always multiplied by the same factor(19), the relationship is proportional.

Step-by-step explanation:

To see if the equation represents a proportional relationship, we see if the division of y by x is always the same

[tex]x = 1, y = 19*1 = 19[/tex]

[tex]x = 2, y = 19*2 = 38[/tex]

[tex]x = 3, y = 19*3 = 57[/tex]

So

[tex]\frac{57}{3} = \frac{38}{2} = \frac{19}{1} = 19[/tex]

Equal, so proportional

Answer:

For your question its 15 ounces

Answer:

Answer b)

Step-by-step explanation:

In the sequence 0, 5, 10, 15,...

5 is added to each term in order to get the next one. Therefore the next three terms would be; 20, 25, 30.

This agrees with answer b) in the list of possible answers.

Answer:

x = 12

Step-by-step explanation:

We know that the integers are consecutive. This means that they can be written as:

x, x + 1, and x+2.

First Integer: x

Second Integer: x + 1

Third Integer: x + 2

It is also given that the sum of the first integer and twice the second is 80 minus three times the third.

Write as an equation:

First Integer + 2(Second Integer) = 80 - 3(Third Integer)

Substitute:

x + 2(x+1) = 80 - 3(x+2)

Multiply:

x + 2x + 2 = 80 - 3x - 6

Simplify:

3x + 2 = 74 - 3x

Add 3x to both sides of the equation:

6x + 2 = 74

Subtract 2 from both sides of the equation:

6x = 72

Divide both sides of the equation by 6:

x = 12

Let me know if you have any questions about my explanation!

Answer:

Step-by-step explanation:

According to question ,

• First Integer → x

• Second Integer → x + 1

• Third Integer → x + 2

Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,

→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )

→ x + 2x + 2 = 80 - 3x - 6

→ 3x + 2 = -3x + 74

→ 3x + 3x = 74 - 2

→ 6x = 72

→ x = 72/6

→ x = 12

Hence , value of x is 12 that means :

→ x = First Integer = 12

→ x + 1 = Second Integer = 13

→ x + 2 = Third Integer = 14

In all of these x is the smallest integer and hence 12 is the correct answer .

Answer:

Step-by-step explanation:

The awnser must be c, since you can only get a quadratic polynomial function if you derive a polinomial of the 4th degree twice. C is the only polynomial of the 4th degree here, the other ones are of the 3rd degree.

Answer:

The greatest common factor (GCF) of these two monomials is [tex]16\, a[/tex].

Step-by-step explanation:

Rewrite [tex]32\, a[/tex] and [tex]48\, a[/tex] as the products of the variable [tex]a[/tex] and and prime number factors:

Write an expression for the GCF of these two monomials in terms of these factors ([tex]2[/tex]'s, [tex]3[/tex], and [tex]a[/tex].) Try to include as many of each factor as possible, as long as the resulting product is present in both monomials.

For example, there are five factor [tex]2[/tex]'s in the first monomial but only four in the second monomial. Therefore, include the factor [tex]2\![/tex] in the GCF for only four times.

The factor [tex]a[/tex] appeared once in both monomials. Hence, include [tex]a\![/tex] for one in the expression for the GCF.

On the other hand, the factor [tex]3[/tex] is found in the second monomial but not in the first. Therefore, this factor should not be included in the expression for the GCF.

Therefore, the expression for the GCF would be:

[tex]2 \times 2\times 2\times 2 \times a = 16\, a[/tex].

Answer:

one chocolate cake=?=x

one lemon cake=?=y

$270 spent

need to buy total of 18 cakes

1-chocolate cake =$7

lemon cake = $5

cakes 18=x+y

money $110=$7x+$5y

When i graphed it on the demos calculator i got (10,8).

So 10= the number of chocolate cake brought and 8= the number of lemon cake brought

The number of lemon cakes Jasmine can buy for the party is 8.

Two equations can be deduced from the question:

a + b = 18 equation 1

$7a + $5b = $110  equation 2

Where:

In order to determine the number of lemon cakes that can be bought, take the following steps:

Multiply  equation 1 by 7

7a + 7b = 126  equation 3

Subtract  equation 2 from  equation 3

2b = 16

b = 8

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

Option D: -2x-10 is the correct answer.

Step-by-step explanation:

Given expression is;

-2 (x+5)

We will solve the expression by multiplying -2 with the terms inside the brackets.

Therefore,

Multiplying -2 with the terms

-2*x + 5* -2

-2x + (-10)

-2x - 10

Hence,

Option D: -2x-10 is the correct answer.

Answer:

i asked my mom and she said "Solution: 108"

Answer:

Each point will plot to only one place in the coordinate plane. So, I don't know what you mean by plotting anywhere and you'll get the same result. You won't

Step-by-step explanation:

Answer:

The signs of a point's coordinates affect where the point is on a coordinate plane because an X-coordinate being negative or positive tells how far to the right or left of the Y-axis a point is. Vice versa, the Y-coordinate being positive or negative says how far above or below the X-axis a point is on a coordinate plane.  

Answer:

D

Is correct cus a straight line is 180

Answer:

Yes! The given quadrilateral represents Parallelogram.

Reason: The given quadrilateral has opposite sides congruent.

Step-by-step explanation:

Given the quadrilateral with the four vertices.

Therefore, the given quadrilateral represents Parallelogram.

Hence,

Yes! The given quadrilateral represents Parallelogram.

Reason: The given quadrilateral has opposite sides congruent.

Answer:

about 4 grams

Step-by-step explanation:

Divide the amount of grams by amount of ounces.

11.7 / 3

= 3.9

3.9 is about 4 grams of protein

Answer:

1.5

Step-by-step explanation:

Vertical angles are congruent so:

7x=8x-12

Subtract 7x from both sides:

0=8x-12

Add 12 to both sides:

8x=12

Divide both sides by 8:

x=1.5 or

x= 3/2

Answer:

Step-by-step explanation:

4037 in standard form

4037=4.037*10^3

Answer:

Subtraction Problem                                                 Addition Problem

    3 - 7                                                                               3 + (-7)

These two match because they will give the same result which is -4 and when the addition problem is operated on, it will look like the subtraction problem.

__________________________________________________________

Subtraction Problem                                                 Addition Problem

      -3 - 7                                                                             -3 + (-7)

These two will give the same result of -10. When additional problem is worked on it becomes subtraction problem.

__________________________________________________________

Subtraction Problem                                                 Addition Problem

    -3 - (-7)                                                                             -3 + 7

These two will both give the result of 4. When subtraction problem is worked on, it becomes addition problem.

__________________________________________________________

Subtraction Problem                                                 Addition Problem

    3 - (-7)                                                                               3 + 7

Both give a result of 10. When subtraction problem is worked on, it becomes addition problem.