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3 years ago

Solve the equation v+5/-9 - 4 = -6/8

1 answer:

4 0

First you simplify both sides of the equation to make v+-41/9=-3/4.

Then add -41/9 to both sides to get the answer which is 137/36

v=137/36

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Andrea made a replica of the Empire State Building. The surface area of the model is 45 ft2. What is the surface area of the act

melamori03 [73]

Answer:

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Surface area of the Empire State building replica = 45 square feet

Scale factor = 44

2. What is the surface area of the actual Empire State Building in square feet?

For answering the question, we will make the following calculations:

45 square feet = 9 feet * 5 feet or,

45 square feet = 10 feet * 4.5 feet, or,

45 square feet = 20 feet * 2.25 feet.

Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:

(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²

(10 * 44) * (4.5 * 44) = 440 * 198 = 87,120 ft²

(20 * 44) * (2.25 * 44) = 880 * 99 = 87,120 ft²

<u>As we proved, no matter what are the lengths of the sides of the surface area of the replica. after applying the scale factor, the result is the same: 87,120 ft²</u>

6 0

3 years ago

What is the slope of this line?

jeyben [28]

9514 1404 393

Answer:

1/4

Step-by-step explanation:

The slope can be found using the slope formula with the two left-most marked points:

m = (y2 -y1)/(x2 -x1)

m = (6 -5)/(0 -(-4)) = 1/4

The slope of the line is 1/4.

6 0

3 years ago

What is the total number degrees of all interior angles of a triangle?

BARSIC [14]

<span> the total number degrees of all interior angles of a triangle is 180</span>

3 0

3 years ago

3. Find the value of m for which the equation mx + 14 = 12 + 2 has one repeated root.

umka2103 [35]

Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.

<h3>What is the quadratic equation?</h3>

The quadratic equation is given as follows:

mx² + 12x - 12.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , it has 2 real solutions.

If $\mathbf{\Delta = 0}$ , it has 1 real solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

For this problem, the coefficients are:

a = m, b = 12, c = -12.

Hence the discriminant is:

b² - 4ac = 144 + 48m.

We want it to be of 0, hence:

144 + 48m = 0

m = -144/48

m = -3.

More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811

#SPJ1

7 0

2 years ago

Allison wants to ride her bicycle 60 miles this week. She has already ridden 12 miles. If she rides for 6 more days, what is the

anastassius [24]

Answer:

8 miles a day

Step-by-step explanation:

First you have to subtract the amount of miles she had already gone.

60 - 12 = 48

Next you have to divide by the remaining amount of days (6 days).

48/6 = 8

7 0

2 years ago