Answer:
x = 18 and y = 6√10
Step-by-step explanation:
First using pythagoras theorem on the small triangle
h² = 6² + 2²
h² = 36 + 4
h² = 40
h= √40
h = √4 * 10
h = 2√10
Using the similarity theorem;
y/2√10 = 6/2
y/√10 = 6
y = 6√10
To get x we will use the pythagoras theorem
y² = x²+6²
(6√10)² = x² + 36
360 = x² + 36
x² = 360 - 36
x² = 324
x = 18
Hence x = 18 and y = 6√10
Hey there!
b^2 - 5b + 3
= -3^2 - 5(-3) + 3
= -9 - (-15) + 3
= -9 + 15 + 3
= 6 + 3
= 9
Answer: 9
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
yes, she will have 2076.88
Step-by-step explanation:
First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23
now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4
since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23
now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9
plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14
there are 9 red marbles and 14 yellow marbles!