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4 years ago

What is the solution to 9(x-1)=-45

Mathematics

1 answer:

Nana76 [90]4 years ago

6 0

Answer:

X is 4

Step-by-step explanation:

You would distribute 9 to X and -1 to get 9x-9=-45 then you would add 9 to -45 and get 9x=36 then after dividing 9 the answer is 4

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Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.

kykrilka [37]

The distance between (2,5) and (6,1) is:

$\sf Distance = \sqrt{\left( 6 - 2 \right)^2 + \left( 1 - 5 \right)^2} \\\\ =\sqrt{ 16 + 16} \\ \\ = \boxed{\bf{4 \sqrt{ 2 } }}$

The distance between the fourth vertex and (4,-1) should also be 4√2

The only point that gives us that distance is B. (0,3)

$\sf Distance = \sqrt{\left( 4 - 0 \right)^2 + \left( -1 - 3 \right)^2} \\ \\= \sqrt{ 16 + 16} \\ \\ = \boxed{\bf{4 \sqrt{ 2 } }}$

Your final answer is B. (0,3)

5 0

3 years ago

Find the elapsed time

liq [111]

Step-by-step explanation:

4:15 p.m. to 5.00 p.m. → 45min

5:00 p.m. to 10:00 p.m. → 5h

Answer: 5h 45min

3:45 a.m. to 4.00 a.m. → 15min

4.00 a.m. to 12:00 p.m. → 8h

Answer: 8h 15min

1:15 p.m. to 2:00 p.m. → 45min

2:00 p.m. 8:00 p.m. → 6h

8:00 p.m. to 8:11 p.m. → 11min

Answer: 6h (45 + 11)min = 6h 56min

2:37 a.m. to 3:00 a.m. → 23min

3:00 a.m. to 3:15 a.m. → 15min

Answer: (23 + 15)min = 38min

11:59 a.m. to 12:00 p.m. → 1min

12:00 p.m. to 1:00 p.m. → 1h

1:00 p.m. to 1:01 p.m. → 1min

Answer: 1h (1 + 1)min = 1h 2min

6 0

3 years ago

Independent Practice

lesya692 [45]

B is the answer to your question

6 0

3 years ago

Read 2 more answers

The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *

denis-greek [22]

Answer:

$Area = 336\ m^2$

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

$P = 13x + 14x + 15x = 84$

$42x = 84$

$x = 2$

The length of each side is:

$13x = 26\ m$

$14x = 28\ m$

$15x = 30\ m$

Now, to find the area of the field, we can use the following formula:

$Area = \sqrt{p(p-a)(p-b)(p-c)}$

Where a, b and c are the sides and p is the semi perimeter:

$p = P/2 = 42\ m$

So we have that:

$Area = \sqrt{42(42-26)(42-28)(42-30)}$

$Area = 336\ m^2$

8 0

3 years ago

One day a store sold 36 sweatshirts. White ones cost $10.95 and yellow ones cost $11.50. In all, $404.65 worth of sweatshirts

Hatshy [7]

Answer:

17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Step-by-step explanation:

Let w represent the number of white sweatshirts sold and y represent the number of yellow sweatshirts sold.

We can write a system of equations to represent the situation.

Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:

$y+w=36$

And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:

$10.95w+11.5y=404.65$

Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract w from both sides:

$y=36-w$