Answer:
y-2=4(x-7)
See the picture below to see my calculator results!
I hope this helps!!
Answer:
798.15
Step-by-step explanation:
heres a neat trick you can do instead of doing that long process to get 15% of 5321 just use a calculator and do 5321 x .15
Answer:
(2,3)
Step-by-step explanation:
4(3)-(2)=10
12-2=10
The answer is (2,3)
NOT MY WORDS TAKEN FROM A SOURCE!
(x^2) <64 => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2 so (x^2) - (8^2) < 0 To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y) You can work backwards and verify this is true. so let's set (x^2) - (8^2) equal to zero to find the roots: (x^2) - (8^2) = 0 => (x-8)*(x+8) = 0 if x-8 = 0 => x=8 and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive
2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0 so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0 so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So -8<x<8 Note: If you choose any number outside this range for x, and square it it will be greater than 64 and so it is not valid.
Hope this helped!
:)
Answer: the area of the triangle = 10.5 cm²
Step-by-step explanation:
Let 3x=a, 4x=b, 5x=c.
Hence,
P=2*(a+b+c)
36=2*(3x+4x+5x)
36=2*12x
36=24x
Divide both parts of the equation by 24:
1.5 cm=x
a=3x
a=3*1.5
a=4.5 cm
b=4x
b=4*1.5
b=6 cm
c=5x
c=5*1.5
c=7.5 cm
