Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
Answer:
-0.8x + 4.8y + 16
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4) = 4( 0.5x - 0.7x + 2.5y - 1.3y + 4)
= 4( -0.2x + 1.2y + 4)
= 4*(-0.2x) + 4 *1.2y + 4*4
= -0.8x + 4.8y + 16
Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:



Cross multiply


Add 2 to both sides


Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77
D. There is a 5/8 chance each time. You would multiply that together to get the answer seen in D.
Answer:
d=107
Step-by-step explanation:
7+5^2 *4
PEMDAS
Since there are no parentheses, we do exponents next
7+25*4
Then we multiply
7+100
Then we add
107