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natka813 [3]
3 years ago
7

The first step in determining the solution to the system of equations, y = -x2 - 4x – 3 and y = 2x + 5, akyettically is to set t

he
two equations equal as -* - 4x - 3 = 2x + 5. What is the next step?

A.Set y = 0 in y = -x2 - 4x - 3.
B.Factor each side of the equation
C.Use substitution to create a one variable equation
D.Combine like terms onto one side of the equation.
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Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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How do I calculate this? Is there a formula?
alex41 [277]

<u>Answer:</u>

Height of cables = 23.75 meters

<u>Step-by-step explanation:</u>

We are given that the road is suspended from twin towers whose cables are parabolic in shape.

For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.

Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of x = 600 or x = -600, and y at 95.

We know that the equation of a parabola is in the form y=ax^2 and here it passes through the point (600, 95).

y=ax^2

95=a \times 600^2

a=\frac{95}{360000}

a=\frac{19}{72000}

So new equation for parabola would be y=\frac{19x^2}{72000}.

Now we have to find the height (y)of the cable when x= 300.

y=\frac{19 (300)^2}{72000}

y = 23.75 meters

8 0
3 years ago
Read 2 more answers
How many twelfths are there in 2/3 of 3/4 more than 1/3 of 3/8 ? I know the answer already, please show how you do it .
maksim [4K]
Ok so what this means is below:
\frac{2}{3}* ( \frac{3}{4}+  \frac{1}{3} * \frac{3}{8} )
Now we need to follow the rules of PEMDAS:
So inside the parentheses we need to do the multiplication first 1/3*3/8=1/8
Now we need to add 3/4 to this 1/8+3/4=7/8
Now do 2/3 of the value of the parenthesis 7/8
This is 14/24 = 7/12
Therefore there are 7 twelfths
7 0
3 years ago
Can someone help me please ​
inna [77]

Replace x with -2 and solve:

A) -2 + -2 = -4 which is not less than or equal to -8


B) 2 + -2 = 0, this is greater than or equal to -8


C) -2 + -2 = -4, this is not less than -8


D) 2 + -2 = 0, this is not greater than 8


Answer: B is true

8 0
1 year ago
The formula for the size of a file that was downloaded over time t and at an average rate r is r.t.
lakkis [162]

Answer:

The size of file downloaded is  <em>88 megabytes.</em>

Step-by-step explanation:

Given that:

Average rate of downloading the file = r

Time taken to download = t

Formula for the size of file downloaded = r.t

Rate of downloading, r = 800\ kilobytes/sec

Time taken, t = 110 seconds

To find:

Size of file downloaded in megabytes = ?

Solution:

First of all, let us apply the given formula to find the size of file downloaded:

Size of file downloaded = r.t

Size of file downloaded = 800 kilobytes seconds \times 110 seconds =

<em>88000 kilobytes</em>.

Now, let us convert the unit kilobytes to megabytes to find the answer.

<em>Conversion formula:</em>

1000 kilobytes = 1 megabyte

Let us use unitary method to find the number of megabytes in 88000 kilobytes.

1 kilobytes = \frac{1}{1000} megabytes

88000 kilobytes = \frac{1}{1000} \times 88000 megabytes

\Rightarrow <em>88 megabytes.</em>

Therefore, the size of file downloaded is  <em>88 megabytes.</em>

5 0
3 years ago
Which graph represents a function with direct variation
vazorg [7]

Answer:

WHere are the graphs

Step-by-step explanation:

:)

4 0
3 years ago
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