We know that
the x-intercept is when y=0 and z=0
<span>-3x + 5y - 2z =60------------> -3x=60----------> x=-20
the point (-20,0,0)
</span>the y-intercept is when x=0 and z=0
-3x + 5y - 2z =60------------> 5y=60----------> y=12
the point (0,12,0)
the z-intercept is when y=0 and x=0
-3x + 5y - 2z =60------------> -2z=60----------> z=-30
the point (0,0,-30)
the answer is
(-20,0,0)
(0,12,0)
(0,0,-30)
Answer:
Cream = 3 cups
Chocolate = 6 cups
Step-by-step explanation:
Cream = 1 cup
Chocolate = 2 cups
Total = 3 cups
Cream : chocolate = 1 : 2
He uses 9 cups of these two ingredients. How many cups of chocolate does he use in this candy recipe?
Cream = ratio of cream/total ratio of total cups
= 1/3 of 9
= 1/3 × 9
= 3 cups
Cream = 3 cups
Chocolate = ratio of chocolate/total ratio of total cups
= 2/3 of 9
= 2/3 × 9
= 6 cups
Chocolate = 6 cups
Answer: There are 1820 sets of four marbles other than lavender.
Step-by-step explanation:
Since we have given that
Number of red marbles = 3
Number of green marbles = 5
Number of lavender marbles = 1
Number of yellow marbles = 2
Number of orange marbles = 6
So, Total number of marbles = 3 + 5+ 1 + 2 + 6 = 17
We need to find the sets of 4 marbles other than lavender.
so, Number of total marbles other than lavender becomes = 17 -1 =16
Number of marbles in a set = 4
So, Number of ways becomes
Hence, there are 1820 sets of four marbles other than lavender.
Answer:
This answer would be D
Step-by-step explanation:
Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
