10,720MasteryLook at the image below.4Course suRatios, rateArithmetic10Course cheTest yourthe skillsWhat is the area of the triangle?

Bellingham

2934.9 people per square mile

California

2613.1 people per square mile

answer: Bellingham has a greater number of people per square mile

INFORMATION:

We have the following expression

And we must factor it by grouping

STEP BY STEP EXPLANATION:

To factor it by grouping, we must:

1. group the first 3 terms of the expression

2. factor the expression in the parenthesis

3. rewrite 4d^2 as unique exponential expression

4. factor by square difference

5. simplify

ANSWER:

the factoring for c^2-8c +16 -4d^2 by grouping is

So we plot the values over the bars

Now we identify that each line is separated by 2

Answer: Then we get central as 8 and northwest as 6

The standard equation of parabola with vertex (h,k) is :

(x - h)² = 4a(y - k)

The given eqation is : (x + 2)² = 4(y - 1)

On comparing the given equation with the standard equation we get

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

Vertex is ( h,k)

So, the vertex of the given equation of parabola is (-2, 1)

Answer : B (-2, 1)

From the information in the table,

67 students prefer logo A while 33 students prefer logo B

11 teachers prefer logo A while 14 teachers prefer logo B

Thus, the correct statement is

Logo B is more popular with teachers but logo A is more popular with students

Answer:

A. y = 0.50x + 12

y = 1.25x

Explanation:

The equation that model the total cost of plan A is:

y = 12 + 0.50x

Because there is a cost of $12 that is independent of the number of rides x and there is a cost of $0.5 for each ride.

In the same way, the equation that model the total cost of plan B is:

y = 1.25x

Because there is only a cost of $1.25 for each ride.

Therefore, the system of equations that could be used to choose a ticket plan is:

A. y = 0.50x + 12

y = 1.25x

Answer: C =0.006

Step-by-step explanation:

In order to find who has read more pages, let's find the number of pages read by each one.

The number of pages read by Clancey is:

The number of pages read by Ethan is:

So Ethan read more pages.

The combined number of pages in both books is 240 + 170 = 410.

The combined number of pages read is 60 + 68 = 128

So the fraction is:

Equation

To operate this fraction we will separate the numerator and divide each term with the denominator.

The answer would be

Answer: (0, 2)

Explanation

The coordinates are a set of values that show the exact position of a point. In graphs, it is usually a pair of points in the form (x, y), where x represents the value in the horizontal axis and y represents the value of the vertical axis.

As we can see from the image above, in our point x = 0 (marked in red) while y = 2 (marked in purple). Rearranging the coordinate we get (0, 2).

On an equilateral triangle, each angle has a measure of 60º. Then:

Solve for x. To do so, add 9 to both sides of the equation:

Divide both sides of the equation by 2:

Therefore, the value of x is:

4x² + 3x - 2

This is a quadratic trinomial

Explanation: A quadratic equation has 2 as its highest index power

Then a polynomial involving 3 terms is a trinomial equation.

Hence the expression

4x² + 3x - 2 has its highest index power as 2 (4x raised to the power of two) and it has three separate terms, and that makes it a quadratic trinomial.

Answer:

1x^2+2x  

Step-by-step explanation:

Put into Equation

(9x^2 +5x+4)+(-8x^2-3x-4)

Distribute

9x^2+5x+4-8x^2-3x-4

Combine like terms

1x^2+2x

Hope this helped!

SOLUTION

To get this, note that the vertical asymptote can be gotten by setting the denominator to be equal to 0.

If we do this, we will notice that the vertical asymptote of option A and option D is x = 3

That is

for option A

For option D

So, the answer is either option A or D.

But to get the correct answer, let us look at the graphs for both functions

Graph of A

From the graph, you can see that the domain is defined at x = 3. Notice that the green line cut across x = 3.

Now let's check Graph of option D

From the graph, you can see that the domain is defined at x = -3 and x = 3. Notice that the purple and green line cut across x = -3 and x = 3. So, the domain here is

Hence

Answer:5/35=1/7

Step-by-step explanation:

We need to divide the number of foot of scarf knitted by the number of time, in hours, taken.

The question provides the relationship as shown below:

If we solve both sides individually, we have the left-hand side to give

and the right-hand side to give

Since both sides give the same result, we can attempt to manipulate the left-hand side of the equation with a common property we are familiar with: The Distributive Property.

The Distributive Property is written out as shown below:

Applying this rule to the left-hand side, we get:

This is the same expression present on the right-hand side of the equation.

Therefore, the property illustrated is the DISTRIBUTIVE PROPERTY.

I would choose the source that charges simple interest. This is because simple interest is based only on the principal (The amount borrowed), but compound interest is based on the principal and also the interest that has been generated from it.

Answer:

x 2^x=49. 2x=49 2 x = 49.

Step-by-step explanation:

Step 1. Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Let's suppose, the given equation is:

37 = 10x + 3

By solving it

37 - 3 = 10x

34 = 10x

34/10 = x

x = 17/5

Hence, the value of x is 17/5.

Answer:

• z=113°

• y=67°

Explanation:

In the diagram below, by the principles of vertical and corresponding angles:

We solve for y:

Next, angles z and (6y-113) are on a straight line. Therefore:

However, recall we stated earlier that (6y-113)°=67°, therefore:

The values of z and y are 113° and 67° respectively.

Answer: 8x^2+72x+81

Step-by-step explanation:

Hi! I'm not sure if my answer is correct, but please check! Hope it helps.

First the rectangles area is l x w = (3x+7)(4x+8) =  12x^2+52x+56

Because there is a square cut out, we need to find the area of the square and subtract that from the area of the rectangle.

Square Area: (2x+5)(2x+5)= 4x^2+20x+25

Subtract the two areas: 12x^2+52x+56 - 4x^2+20x+25

Which would simplify to 8x^2+72x+81

Which of the following are the xintercepts on the graph of the function shown below? f(x)=(x+2)(x-7)​

we have the function

f(x)=(x+2)(x-7)​

This is a vertical parabola written in factored form

The zeros or x-intercepts of the function are

x=-2 and x=7

Remember that the x-intercepts are the values of x when the value of the function is equal to zero

therefore

the answer is

Answer:

Q1. 3² × 3² × x² = 9 × 9 × x²

                         = 81x²

Q2. (2x)² × (3x)² = 4x² × 9x²

                          = 36x⁴

Q3. [tex](-\frac{5}{6} )^{3}[/tex]  [tex]=-\frac{125}{216}[/tex]

Q4. [tex](\frac{3a^{5} }{4b^{4}}) ^{3}=\frac{27a^{15} }{64b^{12} }[/tex]

Q5. [tex](\frac{8a^{2} b^{4}c^{23} }{26a^{13}b^{5}c^{2} }) ^{3} = (\frac{4c^{21} }{13a^{11}b } )^{3}[/tex]

                         [tex]=\frac{64c^{63} }{2197a^{33}b^{3} }[/tex]

Q6. [tex]-4^{-1}= (-\frac{4}{1} )^{-1}[/tex]

                [tex]=(-\frac{1}{4} )^{1}[/tex]

                [tex]=-\frac{1}{4}[/tex]

Q7. [tex](2r)^{-2}=(\frac{2r}{1} )^{-2}[/tex]

                 [tex]=(\frac{1}{2r} )^{2}[/tex]

                 [tex]=[/tex] [tex]\frac{1}{2r}[/tex] × [tex]\frac{1}{2r}[/tex]

                 [tex]=[/tex] [tex]\frac{1}{4r^{2} }[/tex]

Q8. [tex](\frac{xy}{ab^{3} } )^{-1} = (\frac{ab^{3} }{xy} )^{1}[/tex]

                   [tex]=\frac{ab^{3} }{xy}[/tex]

Q9. [tex]9x^{0} = 9(1)[/tex]

             [tex]=9[/tex]

Q10. [tex](-4r^{5}s^{6} t^{-7} )^{0} = 1[/tex]

If the movie started at 2:35 and lasted 1 hour

Answer: 4:20 pm

Step-by-step explanation:

We know that the movie started at 2:35 and lasted 1 hour and 45 minutes. We can split the time that it lasted into the hour and the 45 minutes to make things easier, since 1 hour after 2:35 is simply 3:35.

From here, we can add the extra 45 minutes. We can do this by first finding out how many minutes were left in that hour. There are 60 minutes in 1 hour, and 60 - 35 = 25 minutes

45 - 25 = 20

after adding the 25 minutes to complete the hour (4:00), we have 20 minutes left

4:00 + 0:20 = 4:20

ANSWER

EXPLANATION

Given;

Now using the formula for simple interest

substituting the values we have;

Now the interest after 7 months would be

The maturity value is

Explanation

Step 1

to get the form

a) add 21 x in both sides

Step 2

now, factorize the left hand side of the equation

now, to get zero from those factors

so, the answer is

I hope this helps you

Answer:

y= -3x-6

Step-by-step explanation:

I believe this is correct