Answer:
The answer is (-4,9)
Step-by-step explanation:
When you reflect across y=-x the x and y coordinates switch places and change signs.
We can find this integer using a system of equations. The first thing we look at is the first sentence.
Let's call X The first integer,
Let's call Y the second integer.
So, X+Y=61 and X-Y= 1
Using Substituion on the second equation, we get
X=Y+1
(Now we plug in Y+1 into the second equation for X)
So,
(Y+1)+Y=61
2Y=60
Y=30
So, one of the integers is 30.
Now to find the second, we go back to
X=Y+1
X=30+1
X=31.
So, the integers are 31 and 30.
Hope this helps!
Answer:
0.14
0.29
0.21
0.27
18.38
0.83
Step-by-step explanation:
Answer:
a⁻³⁵
Step-by-step explanation:
((a²)⁻²)⁵ ÷ (a⁴a)³
((a²)⁻²)⁵ ÷ (a⁴a¹)³
= (a⁻⁴)⁵ ÷ (a⁵)³
= a⁻²⁰ ÷ a¹⁵
= a⁻²⁰⁻¹⁵
= a⁻³⁵
Exponent rules:
Multiplying two numbers with same base: add exponents
Dividing two numbers with same base: subtract exponents
Number with exponent raised to another exponent: multiply the exponents together
The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph
<h3>
Speed</h3>
Speed is the ratio of total distance to total time taken. It is given by:
Speed = distance / time
Let a represent the speed of the first runner and b for the second runner. Hence:
a = (4/5)b
After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:
a = d₁ / 0.5
d₁ = 0.5a
Also:
b = d₂/0.5
d₂ = 0.5b
d₁ + d₂ = 2, hence:
0.5a + 0.5b = 2
0.5(4/5)b + 0.5b = 2
b = 2.22 mph
a = (4/5) * 2.22 = 1.78 mph
The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph
Find out more on Speed at: brainly.com/question/13943409
