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2 years ago

Triangle ABC is translated on the coordinate plane below to create triangle A'B'C':

1 answer:

7 0

First you need to find the rule or 'equation' that this system goes by before we can solve what H' point is located.

So, to do so, label out the triangles points:

A(-7, 6), B(-5, 3), C(-1, 3) to A'(1, 4), B'(3, 1), C'(7, 1)

Now for A to A' which is -7 to 1 is a 8 point difference and A to A' which is 6 to 4 is a -2 point difference, indicating:
(x + 8, y - 2)

Now:

B(-5, 3) -> (-5 + 8, 3 - 2) = B'(3, 1)
C(-1, 3) -> (-1 + 8, 3 - 2) = C'(7, 1)

Now to simply solve for H to H':

We know H 's coordinates are: (-7, -5)

Now add in the rule and solve:

(-7 + 8, -5 - 2) = ?

Answer: (1, -7)

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50 POINTS AND WILL MARK BRAINLIEST NEED HELP ASAP

trasher [3.6K]

Answer:

Please see attached image and all steps below for both parts

Step-by-step explanation:

Task 1

The following system of equations includes a linear equation and a quadratic one:

$\left \{ {{y=x+2} \atop {y=x^2-8x+2}} \right} \}$

it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:

$x+2=x^2-8x+2\\x=x^2-8x\\x^2-9x=0\\x\,(x-9)=0$

and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]

There are two solutions: x = 0 and x = 9.

When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.

Task 2

Part 1:

Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10

So we can use:

$(40 -10)^2=40^2-2\,(40)\,(10)+ 10^2=1600-800+100=900$

to calculate its square.

Part 2:

let's choose a=9 and b=10 so we use:

$9^3+10^3=(9 + 10)\,(9^2-(9)\,(10)+10^2)=(19)\,(81-(90)+100)=19\,(81-180+100)=19\,*\,91=1729$

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2 years ago

Dr. Iske Larkin stated that she had done some work on nutrition in Manatees. One of the questions that she was interested in was

Trava [24]

Answer: Categorical

Step-by-step explanation:

A quantitative variable is represented by a number. An example of a quantitative variable would be how many pounds of food the manatees ate.

Hope it helps <3

3 0

3 years ago

Help me please lol I will report if you troll

Ivenika [448]

Y = mx + b
m = slope, b = y intercept
Plug in the values

Solution: y = -2x + 3

6 0

2 years ago

A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He p

eduard

Answer:

The second ramp needs to have 25°.

Step-by-step explanation:

Required ramp angle for driving the car from the ground = 35°.

First ramp angle = 15°

Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°

The 20° ramp angle will make the total ramp angle to be equal to 35°.

That is 15° + 20° = 35°

4 0

2 years ago

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 10 + 0.002p3 and that its dem

Radda [10]

Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

Demand function is given by

$D(p) = 50 - 0.04p^2, \text{where p is the price.}$

Supply function is given by

$S(p) = 10 + 0.002p^3$

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

$D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots$

So, at $21.85, the supply will equal to demand.

3 0

3 years ago

Read 2 more answers