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3 years ago

I WILL MARK YOU AS BRAINLIEST IF YOU ARE CORRECT. Look at the image below.

Mathematics

1 answer:

Masteriza [31]3 years ago

6 0

Answer:

x=8.06

Step-by-step explanation:

find you half base and use PYTHAGORAS THEOREM to find the opposite side (x)

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Equation of the line (-6,5) and (8,14) in standard form

blsea [12.9K]

Answer:

$\huge\boxed{9x-14y=-70}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-6, 5) and (8, 14).

Substitute:

$m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)$

Thew standard form of an equation of a line:

$Ax+By=C$

transform:

$y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70$

4 0

3 years ago

-3(_x + 4) = 9x – 12 Using the distributive property, what number would go in the blank in order for the given statement to be c

Licemer1 [7]

Answer:

-3(-3x + 4) = 9x - 12

Step-by-step explanation:

-3( Ax + 4) = 9x - 12

-3Ax -12 = 9x - 12

Equating coefficients of x terms on both sides :

-3A = 9

A = -3

Therefore, -3(-3x + 4) = 9x - 12

4 0

3 years ago

Please help due today

alisha [4.7K]

77.) x= {-5, 6}
78.) x= {-4, 9}
79.) x= {5/3, 2}
80.) x= {1/9, 3}
81.) x= {-6, 18}
82.) x= {-3√3 +4, 3√3 +4}
83.) x= {-7, -3}
84.) x= {-√85 +9 /2, √85 -9 /2}

6 0

2 years ago

Find the coordinates of the midpoint of the segment given its endpoints P(-3,-7) and Q(3,-5)

stellarik [79]

Answer:

Midpoint....; (0,-6)

Step-by-step explanation:

Midpoint of the segment

= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]

Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]

Midpoint = ( 0/2 , -12/2 )

Midpoint = (0,-6)

8 0

3 years ago

Please help im doing my girl friend work and i dont know not a thing

Nadusha1986 [10]

Answer:

See below, please!

Step-by-step explanation:

We can set up a system of equations to model this problem. Let's consider the student's ticket as x, and y for the adult ticket.

So since the student ticket is $1.50, and adult is $4, we can set up the following equation: $1.5x+4y=5050$ , since they collected $5050 total.

We can set up another equation modeling the number of people who came to the game. This would be x+y=2200.

Solve this, and we get x= 1500 and y=700. So, they sold 1500 student tickets and 700 adult tickets.

Hope this helped!

4 0

2 years ago