Right △ABC has coordinates A(-7, 3), B(-7, 10), and C(-1, 3). The triangle is reflected over the x-axis and then reflected again over the y-axis to create △A'B'C'. Which are the coordinates of vertex A'?

Answers

Answer 1

Answer: X-axis = A (-7,-3) B (-7,-10) C (-1,-3) first they changed to the x-axis which is this. Just so you know on the x-axis the x-axis stay and the y-axis changed which is this.
When they reflect again on the y-axis the verter of A' is
A' (7, 3) = answer
On the y-axis the y- axis doesnt change but the x-axis changed.
Hope this help!

Answer 2

Answer:

the answer is... (7,3)

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Bernardo hiked 12.8 km in June and 13.4 km in July. Nicole hiked the same total distance as Bernardo but hiked only 11.5 km in June. How far did Nicole hike in July? A. 14.7 km B. 12.8 km C. 13.1 km D. 1.9 km

Answers

Total distance hiked by Bernardo in June = 12.8 km
Total distance hiked by Bernardo in July = 13.4 km
Then
The total distance hiked by Bernardo in June and July = (12.8 + 13.4) km
= 26.2 km
Now it is given in the question that Nicole hiked for the same total distance in June and July.
Also it is given that
The distance hiked by Nicole in June = 11.5 km
Then
the distance hiked by Nicole in July = (26.2 - 11.5) km
= 14.7 km
So the distance hiked by Nicole in July is 14.7 km. The correct option among all the options given in the question is option "A".

Nicole hiked 14.7 km
on July
So the right answer is:
A: 14.7 km

The edge of one cube is 4 m shorter than the edge of a second cube. The volumes of the two cubes differ by 1216 m^3. Find the edge of the smaller cube.

Answers

Volume of cube, V = edge^3
Let edge of cube#1 = (x-4) m, therefore volume of cube#1, v1 = (x-4)^3 m
Let edge of cube#2 = x m, therefore volume of cube#2, v2 = x^3 m
Diff. in volume (in m) = 1216 = v2-v1 = [ x^3 - (x-4)^3 ]
= x^3 - [(x-4)(x-4)(x-4)]
= x^3 - [x^2 - 8x +16(x - 4)]
= x^3 - [ x^3 - 12x^2 + 48x - 64 ]
= 12x^2 - 48x + 64
= 4 (3x^2 - 12x + 16)
Therefore 4 (3^2 - 12x + 16) = 1216
3x^2 - 12x + 16 = 1216/4 = 304
3x^2 - 12x - 288 = 0
3 (x^2 - 4x - 96) = 0
(x^2 - 4x - 96) = 0
(x - 12) (x + 8) =0
(x-12) = 0
Therefore x = 12 m
Edge of cube#2 = x m = 12m
Edge of cube#1 = (x-4) m = 8m

$a- the\ edge\ of\ the\ smaller\ cube\ \ \ \wedge\ \ \ a>0\nV_a-the\ volume\ of\ the\ smaller\ cube\ \ \ \Rightarrow\ \ \ V_a=a^3\n \n(a+4)^3-a^3=1216\ \ \ \wedge\ \ \ (x+y)^3=x^3+3x^2\cdot y+3x\cdot y^2+y^3\n \na^3+3a^2\cdot 4+3a\cdot 4^2+4^3-a^3=1216\n \n12a^2+48a+64-1216=0\ \ \ \Rightarrow\ \ \ 12a^2+48a-1152=0\ /:12\n \na^2-4a-96=0\ \ \ \Rightarrow\ \ \ \Delta=(-4)^2-4\cdot 1\cdot(-96)=16+384=400\n \n √(\Delta) =20\n \na_1= (4-20)/(2\cdot1) =-8<0,\ \ \ a_2= (4+20)/(2\cdot1) =12>0$

$Ans.\ The\ edge\ of\ the\ smaller\ cube=12\ m$

What’s 85 divided by 9

Answers

Answer:

9 4/9

Step-by-step explanation:

9 x 9 = 81

you have 4 left over

place the 4 over 9 and that is your answer.

Answer:

9.4444444444444

Step-by-step explanation

85÷9= 9= 81 remainder 4

at a softball game you can get a bratwurst for $4.50. You have $18 to spend. Write and solve an inequality to determine the number for bratwursts you can buy. Then interpret the solution. Help me please!!!!!

Answers

The solution is 4.

The number of bratwursts, you can buy from $18 is 4.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A bratwurst costs $4.50 at a softballgame.

And you have a total of $18 to spend.

Let n be the number of bratwursts, you can buy.

So, the inequality that represents the situation is,

4.5n ≤ 18

Divide the inequality by 4.5 into both sides,

we get,

n ≤ 18/4.5

n ≤ 4

n = 4.

Therefore, the number of bratwursts is 4.