Answer:
Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).
Step-by-step explanation:
i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.
ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)
iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).
iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).
The correct question in the attached figure
we know that
the scale is 1 in (scale drawing)= (1/2) foot (actual)-----> 1/(1/2)=2 in/ft
[scale]=[scale drawing]/[actual]
then
[scale drawing]=[scale]*[actual]
therefore
for <span>actual width of the car 8 ft
</span>[scale drawing]=[2 in/ft]*[8 ft]=16 in
<span>
the answer is 16 in</span><span>
</span>
Answer:
the answer is option E.
Step-by-step explanation:
it is in the form f/g (x).
we know f and g from the equation;
we can rewrite it as, (√(9-x^2)/(3x-1))
if you notice you cannot put any number less than -3 or greater than 3 in the numeror because if you do you get a negative root which is false. for instance if you put 4 or -4 in the numerator you get 9 - (4 or -4 square ) which is 9- 16 which is a negative number and you cannot take root of a negative number.
on the numerator if you put 1/3 as the value for x you will get zero in the denominator. and any number divided by zero is undefined so that cannot be.
this means that option E is the right one that satisfies the condition. it means the domain is [-3, 1/3) U (1/3, 3] .
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
