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4 years ago

Fine the error and rewrite the solution correctly:

Mathematics

2 answers:

tatiyna4 years ago

7 0

The error happend over here:
-5(x-3)
-5x-15

*-5×-3=+15 NOT -15*

correct answer:
4x-20-5x+15=2
-x-5=2
-x=7
x=7

Pie4 years ago

5 0

When you distribute -5(x-3) it becomes
-5x+15 not -5x-15

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Find the vertex, focus, directrix, and focal width of the parabola. negative 1 divided by 12 times x squared = y

notka56 [123]

negative 1 divided by 12 times x squared = y

$\frac{-1}{12} x^2=y$

To find vertex we use formula x= -b/2a

From the given equation a= -1/12 and b =0

Plug in the values in the formula

$x= \frac{0}{\frac{-1}{12}} =0$

Now plug in x=0 in the given equation and find out y

$\frac{-1}{12}(0)^2=y$

So y=0

Hence vertex is (0,0), h=0 and k =0

Focus is (h, k+p)

We need to find out p

We know a= -1/12

p = 1/4a

$p = \frac{1}{4\frac{-1}{12}} = -3$

So focus is (0,0-3) that is (0, -3)

Directrix is y = k - p

We know p = -3 and k=0

y = 0 -(-3) = 3. so directrix is y = 3

Focal width = |4p|

We know p = -3

so it becomes |4(-3)| = 12

Focal width = 12

4 0

3 years ago

John drew rhombus RSTV. He drew both diagonals that intersect at point M. in johns figure, which would be the measure of RMS

Charra [1.4K]

Answer:

Option B

Step-by-step explanation:

One of the basic property of Rhombus is that its diagonal intersect each other in a way that they bisect each other and also make angle of 90 degrees

Angle RMS comprises of angle formed by the bisecting diagonals. Hence angle RMS is of 90 degrees.

Thus, option B is correct

4 0

3 years ago

Rachel and David were shopping for holiday gifts when they noticed a Thanksgiving sweater on the discount rack. Rachel really wa

Leona [35]

Answer:

$Sales\ Price = \$9.60$

Step-by-step explanation:

Given

$Price = \$24.00$

$Discount = 60\%$

Required

Determine the sales price

First, we calculate the discount price

$Discount\ Price = Price * Discount$

$Discount\ Price = \$24.00 * 60\%$

$Discount\ Price = \$14.4$

The sales price is then calculated by subtracting the discount price from the original price of the item

$Sales\ Price = Price - Discount\ Price$

$Sales\ Price = \$24.00 - \$14.40$

$Sales\ Price = \$9.60$

8 0

3 years ago

One Friday night, two large groups of people called Centerville Taxi Service. The first group

NeX [460]

Answer:sedan can hold 3 people and a minivan can hold 9 people.

Step-by-step explanation:

Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B

So 3A + 2B = 21 and 3A + 3B = 27

If we subtract the equations we can solve for B

3A + 3B = 27

-3A - 2B = 21

___________

B = 6

Now we know Each minivan can hold 6 passengers and we can solve for A.

3A + 3B = 27

3A + 3(6) = 27

3A + 18 = 27

- 18. -18

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3A = 9

A =3

You can check this by solving the other equation.

3A + 2B = 21

3(3) + 2(6) = 21

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Hope that helps

4 0

3 years ago

I NEED HELP ASAP AWARD BRAINLIEST

kvv77 [185]

The value of x from the given diagram is 17

<h2>Vertically opposite angles</h2>

From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X

Given that;

m<2 = 4x + 2
m<3 = 5x - 15

Equate both expressions to have:

m<2 = m<3

4x + 2 = 5x - 15

4x - 5x = -15 - 2

-x = -17

x = 17

Hence the value of x from the given diagram is 17.

Learn more on vertical angles here; brainly.com/question/1673457

6 0

2 years ago

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