<span>Every point went up 4 units and left 3 units.
</span><span>Point X on the triangle moved up 4 and left 3.
That formed a right triangle with legs 4 and 3.
The distance point X moved to point X', d, is the hypotenuse of the right triangle.
</span><span>Using the Pythagoras Theorem
</span><span><span>3^2</span>+<span>4^2</span>=<span>d^2
d = 5
</span></span>
Answer:
14
Step-by-step explanation:
Since gaining fourteen pounds means going in a positive direction, we can say the gain of fourteen pounds numerically as 14.
Answer:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation: I took the test
Answer:
(8,-1)
Step-by-step explanation:
Given : 

To Find: solution of given system of equations.
Solution:
Equation a : 
Equation b : 
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:







⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒ 
for x = -1
⇒ 
⇒ 
⇒ 
Thus (x,y)=(-1,8)
For x =8
⇒ 
⇒ 
⇒ 
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .
Answer:
523.6
Step-by-step explanation:
V=πr^2(h/3)=π*10^2*(5/3)=523.59878