Answer:
56.57
Step-by-step explanation:
Translation is the transformation that preserves parallel lines. This means that if segments MN and OP were parallel, the segments M'N' and O'P' will be parallel too. As it is known parallel lines do not intersect, then options A and C are false.
Translation 2 units to the left has rule:
(x,y)→(x-2,y).
Then points
- M(2,2)→M'(0,2);
- N(5,2)→N'(3,2);
- O(2,1)→O'(0,1);
- P(5,1)→P'(3,1).
The distance between segments MN and OP is 1 unit, the distance between segments M'N' and O'P' is 1 unit too.
Answer: correct option is B.
To solve this we are going to use a conversion factor. We know that 1 BTU per hour is approximately 778 foot-pounds of energy per hour, so our conversion factor will be:
.
Now we just need to multiply <span>4000 BTU by our conversion factor:
</span>
<span>
We can conclude that the furnace released </span><span>
3,112,000 foot pounds of energy in one hour.</span>
Look at the slope in each equation. A neg. slope indicates that the function is decreasing. A pos. slope: increasing.
Answer:
the larger number is 50
Step-by-step explanation:
Notice there are two unknown numbers. Let's address the smaller one as x and the larger one as y. now we can write two equations from translating the phrases given into algebraic expressions:
"the sum of two numbers is 80" can be written as:
Now the second phrase:
"The ratio of those two numbers is 3/5"
Notice here that in our ratio we need to use our small number (x) in the numerator of the quotient, and the larger number (y) in the denominator to make it in agreement with the small and larger numbers of the ratio , and solve for x:
Replace the value of x we just obtained in the first equation we wrote, so we obtain one equation with only one unknown hat we should be able to solve:
Therefore the larger number (y) equals 50.