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1 year ago

What’s the answer to this question ?

Mathematics

1 answer:

HACTEHA [7]1 year ago

8 0

Answer:

Step-by-step explanation:

Line pases through (6, 0) and (0, -6)

Slope = (0 - (-6))/(6 - 0) = 6/6 = 1

so y = 1*(x - 6) = x - 6

or x - y = 6

or 4x - 4y = 24

That is C

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Given the midpoint and one endpoint of a line segment, find the other endpoint.

lozanna [386]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{\frac{5}{8}}~,~\stackrel{y_1}{\frac{27}{8}})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+\frac{5}{8}}{2}~~,~~\cfrac{y+\frac{27}{8}}{2} \right)=\stackrel{midpoint}{\left( -\frac{7}{6}~~,~~-\frac{10}{3} \right)}$

$\bf -------------------------------\\\\ \cfrac{x+\frac{5}{8}}{2}=-\cfrac{7}{6}\implies x+\cfrac{5}{8}=-\cfrac{14}{6}\implies x=-\cfrac{14}{6}-\cfrac{5}{8} \\\\\\ x=\cfrac{-14(4)-5(3)}{24}\implies x=\cfrac{-56-15}{24}\implies \boxed{x=-\cfrac{71}{24}}\\\\ -------------------------------\\\\ \cfrac{y+\frac{27}{8}}{2}=-\cfrac{10}{3}\implies y+\cfrac{27}{8}=-\cfrac{20}{3}\implies y=-\cfrac{20}{3}-\cfrac{27}{8} \\\\\\ y=\cfrac{-20(8)-27(3)}{24}\implies y=\cfrac{-160-81}{24}\implies \boxed{y=-\cfrac{241}{24}}$

3 0

2 years ago

Which equation matches the graph of the greatest integer function given

QveST [7]

The answer is A. y = [x] -2

5 0

2 years ago

A. 7/3 B. 3/7 C. -3/7 D. -7/3

77julia77 [94]

Your Answer is -3/7 so C

3 0

2 years ago

Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x &g

storchak [24]

Hi there! :)

Answer:

x>24

*The answer must have a positive sign and greater than symbol sign.*

Step-by-step explanation:

First, you switch sides.

$x+18>42$

Then, you subtract by 18 from both sides of an equation.

$x+18-18>42-18$

Finally, you subtract by the numbers from left to right.

$42-18=24$

Final answer is x>24

I hope this helps you!

Have a nice day! :)

-Charlie

7 0

2 years ago

In the diagram B is the midpoint of a A and C. B is also the midpoint or E and F. C is the midpoint of A and D.

aivan3 [116]

Answer:

AD = 84

Step-by-step explanation:

Since B is the midpoint of AC then AB = BC = 2x - 5

Since C is the midpoint of AD then AC = CD, thus

AB + BC = CD, that is

2x - 5 + 2x - 5 = x + 29

4x - 10 = x + 29 ( subtract x from both sides )

3x - 10 = 29 ( add 10 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Hence

AD = AB + BC + CD

= 2x - 5 + 2x - 5 + x + 29 = 5x + 19, thus

AD = (5 × 13) + 19 = 65 + 19 = 84

6 0

2 years ago