MATHEMATICS HIGH SCHOOL

ANYONE???????? PLZ HELP ASAP:Indicate in standard form the equation of the line through the given points.
K(6, 4), L(-6, 4)

Can you lead me through the steps because I'm not getting this at all...

Answers

Answer 1
Answer: Equation of a straight line: y = mx + c. m is the gradient while c is the y-intercept.
gradient m = (y2 - y1) / ( x2 - x1)
from the given coordinates, x1 = 6, x2 = -6, y1= 4, y2 = 4
m = (4 - 4) / ( -6 - 6) = 0/12 = 0
to find y- intercept, we solve for c using any of the given coordinates.
4 = 0x + c
c = 4
the equation of the line: y = 0x + 4
Standard form = ax + by = c
0x + y = 4
y = 4

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How do you substitute x+7y=0 into 2x-8y=22

Answers

First solve for x in the first equation

x + 7y = 0
x = -7y

since x = -7y we can substitute -7y into the other equation wherever there is an x

2x - 8y = 22
2(-7y) - 8y = 22
-14y - 8y = 22
-22y = 22
y = -1

Now let's substitute -1 back into either of the original equations so we can solve for x

x + 7y = 0
x + 7(-1) = 0
x - 7 = 0
x = 7

So your solution set is

(7, -1)

Coach Shaw is buying baseball equipment for his team. he gets a reduced rate if he buys 8 baseballs for every 3 batting helmets. The reduced rate is $2.25 per baseball and $22.50 per helmet. The sales tax on each item is 6%. Coach Shaw has $400 in his budget to buy baseballs and helmets. What is the greatest number of baseballs and helmets he can buy at the reduced rate if the ratio of baseballs to helmets is 8:3?

Answers

Answer:

He can by for sets, that is, 24 baseballs and 12 batting helmets.

Step-by-step explanation:

We know that

Each baseball costs $2.25.

Each helmet costs $22.50.

This mean that 8 baseballs costs: 8(\$2.25)=\$18\n

And all 3 batting helmets costs: 3(\$22.50)=\$67.50

Now, one set of 8 baseballs and 5 helmets costs \$18 + \$67.50=\$ 85.50

If coach Shaw has $400, the total number of set he can buy is (\$400)/(\$85.50)\approx 4

This means he can by for sets, that is, 24 baseballs and 12 batting helmets.
$2.25x8=$18
$22.50x3=$67.50
Tax: 18x$0.06=$1.08~~~~$18+$1.08=$19.08. 
67.50x0.06=4.05~~~~$67.50+$4.05=$71.55
$71.55+$19.08=$90.63
$400.00/$90.63= about 4 sets of 3 helmets and 8 baseballs. 

How do you identify a function if you have a TABLE?​

Answers

Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Step-by-step explanation:

Determine the direction in which the parabola opens, and the vertex. y =x2 + 6x + 14

Answers

A parabola can be written in the form y = ax^(2) + bx + c.  If x is squared then the parabola open vertically (either upwards or downwards) while if y is squared then the parabola opens horizontally to the left or right. 
since in this equation x is squared the the parabola opens either upwards or downwards vertically.


If the coefficient a is positive, then that means that the parabola has a minimum value and opens upwards (smiley face) while if a is negative then that means the parabola has a maximum and opens downwards (sad face)
since in this equation a is positive then that means that not only does the parabola open on the vertical plane, but it also has a minimum and opens upwards (smiley face).

Which expression is equivalent to2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11

Answers

Answer:

4) -2g - 11

Step-by-step explanation:

2(3g-4)-(8g + 3) =

6g - 8 - 8g - 3 =

- 2g - 11

What is the solution set of the equation 3x2 = 48 ?​

Answers

Answer:

Step-by-step explanation:

6=48
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