Find the sum by first finding the equivalent fractions so both of the fractions have common

Please help with c and d

nalin [4]

Answer:

choose 2 coordinates closest to the line and use that to find the slope.

7 0

3 years ago

Read 2 more answers

DE=5x+6, AC=12x+8. What is the length of AC?

Katarina [22]

Answer:

AC = 32 units

Step-by-step explanation:

It looks like DE is half of AC, so to find the length of AC you would multiply the length of DE by 2.

DE = 5x + 6, so 2(5x + 6) = AC.

Distribute the 2 inside the parentheses.

10x + 12

Now make this value equal to the expression standing for AC, 12x + 8.

10x + 12 = 12x + 8

Subtract 10x from both sides of the equation.

12 = 2x + 8

Subtract 8 from both sides of the equation.

4 = 2x

Divide both sides by 2 to solve for x.

x = 2

Take this value of x and substitute it into the expression for the length of AC.

12(2) + 8

Multiply 12 and 2 together.

24 + 8

Add 24 and 8.

32

AC = 32 units

7 0

3 years ago

Read 2 more answers

Kevin weighed his loaded truck at a weigh station. It weighed 14 tons 500 lbs 9 oz. His empty truck weighed 2 tons 600 lbs 12 oz

Rina8888 [55]

It’s either the first one or the last one, most likely none of the answers are correct

6 0

3 years ago

Which is an equation of the parabola that intersects the x-axis at points (-1, 0) and (3, 0)? Show your work or explain how you

hichkok12 [17]

Answer:

$\displaystyle \large{y=x^2-2x-3}$

Step-by-step explanation:

The given points are (-1,0) and (3,0) to find an equation of parabola. Notice that they say or the given points are x-intercepts, which means they make it easier for us to find an equation of parabola using these x-intercepts.

Quick Note:

x-intercepts are simply the roots or solutions of quadratic equation, so if our root is x = -2 then we can write as (-2,0) and write back to x+2=0.

So what we are going to do is to write the roots’ equation back as $\displaystyle \large{x+\alpha =0}$

Our points or roots are given, therefore:

If x = -1 then x+1=0

If x = 3 then x-3=0

Then multiply x+1 with x-3 because if (x-1)(x+3)=0 then x-1=0 or x+3=0:

$\displaystyle \large{(x+1)(x-3)=0}$

Convert 0 to y since we want to find a function:

$\displaystyle \large{(x+1)(x-3)=y}\\\displaystyle \large{y=(x+1)(x-3)}$

Expand the expressions in and simplify to standard form:

$\displaystyle \large{y=x^2-3x+x-3}\\\displaystyle \large{y=x^2-2x-3}$

Therefore, the equation is $\displaystyle \large{y=x^2-2x-3}$

__________________________________________________________

Summary

If we are given the points $\displaystyle \large{(\alpha ,0)}$ and $\displaystyle \large{(\beta ,0)}$ with wideness of the graph or a-value = 1 then the parabola equation is:

$\displaystyle \large{y=(x-\alpha )(x-\beta )}\\\displaystyle \large{y=x^2-\beta x-\alpha x+\alpha \beta }\\\displaystyle \large{y=x^2-(\beta +\alpha )x+\alpha \beta }$

__________________________________________________________

Others

If you have any doubts about my answer, explanation or this question, do not hesitate to let me know in the comment!

3 0

3 years ago

A tabletop in the shape of a trapazoid have an area of 6550 square centimeters. its longer base measures 115 centimeters, and th

Arturiano [62]

A= 1/2 h ( sum of bases) SUBSTITUTE 6550= 1/2h (115+85) 6550=1/2h (200) 6550= 100h 65.5= h height is 65.5 cm Hope this helps

3 0

3 years ago