Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
Answer: 1,3,4
Step-by-step explanation:
Answer:
K=4
Step-by-step explanation:
4(K+2)=32-2k
4k+8=32-2k
+2k +2k
6k+8=32
-8 -8
6k=24
divide 6 from both sides
k=6
Answer:
the slope of A'B' = 3
A'B' passes through point O
Step-by-step explanation:
A dilation with scale factor 3 gives the effect of stretching the line AB three times longer. As dilation does not change the direction of the line, the slope will stay the same. If point O lies on AB and is the center of dilation, then the point O must also lie on A'B'
Answer:
36
Step-by-step explanation:
when solving for two variables, we need to find one variable in terms of the other.
so, we can turn:
x - y = 5
into
x - y = 5
+ y + y
x = y + 5
Then, we can substitute "x" in the given equation with "y + 5"
x² - y² = 30
(y+5)² - y² = 30
(y + 5)(y + 5)
F: y² O: +5y I: +5y L: 25 {foil}
y² + 10y + 25 - y² = 30 {cancel y² - y²}
10y + 25 = 30
-25 -25
10y = 5
÷10 ÷10
y = 0.5
x = y + 5
x = 0.5 + 5
x = 5.5
check:
(5.5)² - (0.5)²
30.25 - 0.25 = 30
30 = 30
(TRUE)
now, we must find the value of:
(5.5 + 0.5)²
= (6)²
= 36
So, the value of (x + y)² is found to be 36
hope this helps!!