Let's solve this problem step by step.
FIRST. <em>Quadrilateral A′B′C′D′ is obtained by a reflection across the y-axis of quadrilateral ABCD</em>
When we reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes in sign. So:
(x, y) → (-x, y)
SECOND. <em>Followed by a translation 3 units to the left and 3 units down.</em>
To translate a point <em>3 units to the left</em> subtract 3 from the x-coordinate and to translate a point <em>3 units down </em>subtract 3 from the y-coordinate. Therefore, the function we are looking for is:
f(x, y) = (-x - 3, y - 3)
Answer:
1,680 grams
Step-by-step explanation:
To solve this, we can create a proportion using this setup:
grams/people=grams/people
The recipe needs 480 grams for 4 people and x (unknown-what we are trying to find) grams for 14 people.
480 grams/4 people=x grams/14
480/4=x/14
Now, we have to solve for x-the grams needed for 14 people. To do this, we have to get x by itself. x is being divided by 14. To undo this, multiply both sides by 14, because multiplication is the opposite of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
She needs 1,680 grams of couscous for 14 people.
Answer:
37,301,000
Step-by-step explanation:
The difference in population can be determined by subtracting the population of North Dakota from California
38,000,000 - 699,000 = 37,301,000
Well there's 10 minutes in the second part so first 48/2 is 24. Now 24/4 (since there's 4 people so far) is 6, now 6*6 because there's now 6 people in total so the final answer is 36 in 5 minutes
