Answer:
<em>The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)</em>
Step-by-step explanation:
<u>Translations</u>
A given point A(x,y) when translated by the rule (h,k) maps to A'(x+h,y+k).
We are given the point X(3,-2) and its image at X'(2,-4). The rule for the translation used is:
(h,k)=(2,-4)-(3,-2)=(2-3,-4+2)=(-1,-2)
If we apply the same translation to the point Y(7,1) we get the image Y'(7-1,1-2)=Y'(6,-1).
If we apply the same translation to the point Z(-1,2) we get the image Z'(-1-1,2-2)=Z'(-2,0).
The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)
Answer: You're correct :)
Step-by-step explanation:
9514 1404 393
Answer:
- 150.72 cm³
- 314 cm³
- 160 cm³
- 48 cm³
Step-by-step explanation:
Put the given numbers in the relevant formula and do the arithmetic.
<u>right cylinder</u>
V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³
<u>cone</u>
V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³
<u>pyramid of unknown shape</u>
V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³
<u>square pyramid</u>
V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³
While simple math problems, such as 1 + 1, can be solved in a single operation, some math problems include several operations. Each of these problems can be written in a variety of ways. For instance, 5 + 3(8+4) might be written as 3(4+8) + 5. The order of operations allows math problems with a variety of operations to be calculated correctly, no matter what order the information is given in. If the order of operations was ignored, the answer to a math problem would be based solely on whatever method was used to calculate it, such as left to right. This would mean that two people might arrive at very different answers to the same math problem.
Although I believe the current notations for remembering the order of operations are sufficient, I suppose one could come up with any number of phrases that might prove more memorable to them. For instance, a dog lover might prefer “Pet Every Mangy Dog And Smile." The point of such phrases is to help one remember, so whatever is most memorable is best for that person.
I will use the problem mentioned earlier as an example.
5 + 3(8 + 4).
5 + 3(12) First, I would calculated the portion in parenthesis.
5 + 36 Since no exponents exist within this problem, I would complete the multiplication next. If the problem had division, it would have been done at this step.
41 Now I do the addition and come up with the final answer. If the problem had subtraction, it would have been done at this step.
Hope this helps.
Answer:
y=
x=
Step-by-step explanation:
7x+4+12x+24=180
19x+28=180
19x=180-28
19x=152°
19x/19=152/19
x=8
y=7x+4
y=7*8+4
y=60°