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Neko [114]
3 years ago
14

1) Which answer is a solution of the equation? 2x-y=5

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0
For the first one it's D. and the second one is D. as well

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(20 points and brainlest to whoever answers correctly!!!)
Stells [14]

Answer:

y = -2/3x - 11

Step-by-step explanation:

Steps to find the perpendicular bisector:

1) Find the midpoint of line PQ

Midpoint formula: (\frac{x_{1} + x_{2} }{2} \\, \frac{y_{1} + y_{2}}{2})

Midpoint of line PQ = (6, -2)

2) Find the slope of line PQ

Slope formula: \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

Slope of line PQ = 3/2

3) Find the negative reciprocal of the slope of PQ

To find the negative reciprocal just swap the numerator and denominator and add a negative sign. If it is already negative it will become positive.

In this case it will be -2/3

4) Write the equation of line PQ in slop-intercept form.

Slope-intercept form: y = mx + b

This is what it will look like for line PQ: y = \frac{3}{2}x + b

5) Plug the points of the midpoint into the line and solve for the intercept (b)

This is what it will look like: -2 = \frac{3}{2}(6) + b

-2 = 18/2 + b

-2 = 9 + b

-11 = b

6) Write the equation of the perpendicular bisector

m = the negative reciprocal of the slope of PQ = -2/3

This is what the equation will look like: y = -2/3x - 11

Hope this helped! Please give Brainliest!

5 0
3 years ago
The sum of two consecutive, odd whole numbers is 205. What are the two numbers?
denis-greek [22]
51.25 + (50.25+1) = 205
3 0
3 years ago
Read 2 more answers
A bicycle shop is selling $500 bikes at 10% off. If the sales tox is 7%, how much will the bike cost
baherus [9]

Answer:

e

Step-by-step explanation:

8 0
3 years ago
Find the area of the trapezoid.
anzhelika [568]

Answer:

488 sq ft

Step-by-step explanation:

Alright, so:

The formula for the area of a trapezoid is as follows:

A=\frac{a+b}{2} h

In this case, a and b are the bases.

Insert the values into our equation and we have...

A = \frac{39+17}{2} (16)\\A = \frac{56}{2} (16)\\A = 488ft^{2}

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>Have a nice day fam. Spread The Love!</em>

5 0
3 years ago
An object is thrown straight up from the top of a 100-foot platform at a velocity of 48 feet per second. The height h(t) of the
julsineya [31]

Answer:

  • The maximum height is 136 ft
  • The time it takes to achieve this height is 1.5 s.

Explanation:

<u>1. Function for the height (given):</u>

    h(t)=-16t^2+48t+100

<u />

<u>2. Type of function</u>

That is a quadatic function, whose graph is a parabola that opens downward.

The maximum of the function, i.e. the maximum height, is the vertex of the parabola.

The vertex of a parabola with the genral equation   y=ax^2+bx+c  is at the x-coordinate

                       x=-b/(2a)

<u>3. Time to achieve the maximum height</u>

Substitute b with 48 and a with - 16:

        t=-48/(2(-16))=48/32=3/2=1.5

Then, time when the object achieves the maximum height it 1.5s

<u />

<u>4. Maximum height:</u>

Replace t with 1.5 in the equation, to find the maximum height, h(1.5)

     h(1.5)=-16(1.5)^2+48(1.5)+100=136

Then, the maximum height is 136 ft

3 0
3 years ago
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