Los puntos (-4,4) y (2,3) estan ubicados en la linea H .¿cuales el pendiente de la linea H?

Answers

Answer 1

Answer: pendiente = ( y2 - y1 ) / ( x2 - x1 )

(x,y)
(-4,4)
(2,3)

x1=-4
y1=4
x2=2
y2=3

pendiente = ( 3 - 4 ) / ( 2 - (-4) )

pendiente = ( -1 ) / ( 2+4 )

pendiente = -1/6

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Metropolitan high school sells sweat shirts and t shirts at each athletic event. during the first event, they sold 12 sweatshirts and 8 t-shirts for a total of $312. the school took in $300 during a second event by selling 8 sweatshirts and 13 t-shirts. what is the price of one sweatshirt and one t shirt HELP NOW PLEASEEEE

Answers

Answer:

T = $12

S =$18

Step-by-step explanation:

This question would be solved using simultaneous equation

Let t = cost of t-shirt

s = price of sweatshirt

two equations can be derived from this question

12s + 8t = 312 eqn 1

8s + 13t = 300 eqn 2

Multiply eqn 1 by 8 and eqn 2 by 12 :

96s + 64t = 2496 eqn 3

96s + 156t = 3600 eqn 4

subtract eqn 3 from 4

92t =1104

t = 12

Substitute for t in eqn 1

12s + 8(12) = 312

12s + 96 = 312

12s = 216

s = 18

Y^2+4x-6x-6y+5=0convert to standard form, find the vertex, focus, and the equation of the directrix line

Answers

I think it is : $x= (Y^2)/(2)-3y+ (5)/(2)$ .

But...not really sure

so first we group like terms
y^2+4x-6x-6y+5=0
y^2-6y-2x+5=0
so I suspect that you might have left out a x^2 but I'll try to solve it how it is

y^2-6y+5-2x=0
factor y^2-6y+5
what adds up to -6 and multiplies to get 5, -1 and -5
(y-5)(y-1)-2x=0
not sure how to procede but you could get it to this
(y-5)(y-1)=2x

The width of a rectangular pool is 5 meters longer than the length. The perimeter of the pool is 58 meters. Use and equation to find the pools length.

Answers

the perimeter of a rectangular pool = 2l + 2w

If the width is 5m longer than the length,

Then Perimeter = 2(l + 5) + 2l
= 4l + 10 {THE EQUATION}

Since Perimeter = 58 m
Then 4l + 10 = 58 m

⇒ l = 12 m

Thus the Length of the Pool = 12 m

You put $500 in a savings account which earns compound interest at a rate of 0.2% per month. If you don't make any deposits or withdrawls, how much will you have in your account in 10 years (120 months)? Round your answer to the nearest whole cent.

Answers

The amount is $510.12 and the interest is $10.12. Explanation STEP 1: Convert 120 months into years. 120 months =12012 years=10 years STEP 2: To find amount we use formula: A=P(1+rn)n⋅t A = total amount P = principal or amount of money deposited, r = annual interest rate n = number of times compounded per year t = time in years In this example we have P=$500 , r=0.2% , n=12 and t=10 years After plugging the given information we have AAAA=500(1+0.00212)12⋅10=500⋅1.000167120=500⋅1.02024=510.12 STEP 3: To find interest we use formula A=P+I, since A=510.12 and P = 500 we have: A510.12II=P+I=500+I=510.12−500=10.12

One leg of a right triangle is 7 units long, and its hypotenuse is 16 units long. What is the length of the other leg? Round to the nearest whole number.

Answers

Answer:

14 units

Step-by-step explanation:

To find the length of the other leg of a right triangle, where one leg is 7 units long and the hypotenuse is 16 units long, use Pythagoras Theorem.

Pythagoras Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the legs.

Let the legs of the right triangle be "a" and "b", and the hypotenuse be "c". Therefore:

$\begin{aligned}a^2+b^2&=c^2\na^2+7^2&=16^2\na^2+49&=256\na^2+49-49&=256-49\na^2&=207\n√(a^2)&=√(207)\na&=14.3874945...\na&=14\;\sf(nearest\;whole\;number)\end{aligned}$

Therefore, the length of the other leg is 14 units (rounded to the nearest whole number).

Answer:

7^{2} + x^{2} = 16^{2}

49+x^2=256

x^2=207

x=14.387=14

In this figure, A'B'C'D'is a transformation of ABCD.Which type of transformation is A'B'C'D'?
dilation
rotation
reflection
translation

Answers

Answer:

translation and um thats all

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