Answer:120in
Step-by-step explanation:
Answer:
R'(3,-4)
Step-by-step explanation:
we know that
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places
so
The rule of the reflection across the line y=x is equal to
(x,y) ------> (y,x)
we have
R(-4,3) ------> R'(3,-4)
The present age of mother and her daughter respectively are; 40 and 10 years respectively.
<h3>How to Solve Algebra Word Problems?</h3>
Let x and y be the present age of mother and her daughter respectively.
Therefore;
x + y = 50
x = 50 − y .....(1)
After 20 years, mother's age will be twice her daughter's age at the time. Thus;
x + 20 = 2(y + 20)
x − 2y = 20 .....(2)
Plugging eq 1 into eq 2 gives us;
50 − y − 2y = 20
3y = 30
y = 10
Thus;
x = 50 − 10
x = 40
Thus, the present age of mother and her daughter is 40 and 10 years respectively.
Translation of the question into English is;
The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.
Read more about Algebra Word Problems at; brainly.com/question/21405634
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We know that
[surface area for a rectangular prism with a square base ]=2*s²+4*s*h
2*s²----> Is the surface area of the bases
4*s*h---> is the lateral area
s=2 units
h=4 units
[surface area for a rectangular prism with a square base ]=2*2²+4*2*4
surface area=8+32----> 40 units²
the answer is
40 units²
Answer:
Initial dive: - 248 (below the surface which represents '0')
Second dive: -10
Present depth -248 + -10 = -258 feet below the surface
Step-by-step explanation:
We can use negative integers to represent real-world scenarios such as in elevation and descent, bank account balances and temperatures. In this case, because a diver is descending below the surface of the water, the surface of the water represents the '0' and going down into the water would be negative integers. So, his initial dive is 248 down, or negative 248 (-248), he then dives down an additional 10 feet, or negative 10 (-10). Since the second dive is in addition to his initial dive, we add the two integers together:
-248 + -10 = -258 feet
