Step-by-step explanation:
making x subject in eq 1
x= (-1-9y)/-14
substituting the value of x in eq 2
17(-1-9y/-14)=7+9y
(-17-153y)/-14=7+9y
-17-153y=-98-126y
-17+98=153y-126y
81=27y
y=3
substituting this value of y in eq 1
-14x=-1-9(3)
-14x=-28
x=2
(x,y) = (2,3)
Answer:
a) PR = 17 cm, b) QR = 6 cm
Step-by-step explanation:
∠Q=90, so PQ and QR are legs, and PR is hypotenuse.
Pythagorean theorem PQ² + QR² = PR²
a) PQ² + QR² = PR²
8² + 15² = PR²
PR² = 289
PR = 17 cm
b) PQ² + QR² = PR²
8² + QR² = 10²
64 + QR² = 100
QR² = 36
QR = 6 cm
Answer:
7. y= x + 12 8. y= -1 + 4x
Step-by-step explanation:
for 7 all you need to do is subtract x from both sides to get y= 12- x, and to make it perpendicular you need to make the current slope it’s exact opposite so in this case that’s just changing the “-” symbol to an “+”.
for 8 you do the same first step you did in 7 and subtract 4x from both sides to get -y= 1 - 4x. Next you divide everything by -1 (because it’s the number in front of the Y) and you get Y= -1 + 4x
Answer:
1/4, 1/6 and 1/8(random)
Step-by-step explanation:
Kidding!
Take LCM and after that take random no. between 9/24 and -20/24. I took 6/24, 4/24 and 3/24, which I simplified
The equation for the volume of a pyramid is (l*w*h)/3
since the problem gave you the base area, that would be the l *w
so now you would need to multiply the base area by the height, then divide by 3
16 * 15 = 240
240/ = 80 cubic centimeters
