Answer:
2x+4
Step-by-step explanation:
The equation of the line in point-slope form is expressed as;
y - y0 = m(x-x0)
Using the coordinates (0,4) and (-2, 0)
Slope = 0-4/-2-0
slope = -4/-2
slope = 2
Substitute m = 2 and the point (0,4) into the formula;
y - 4 = 2(x-0)
y - 4 = 2x
since y = 4 + 2x
y = 2(x+2)
Hence the required equation is 2x+4
Answer:
Step-by-step explanation:
25b * (3a² - 1) = 25b * 3a² - 25b * 1
= 75ba² - 25b
Distributive law upon subtraction:
a(x - y) = ax - ay
Jewelery maker has
24 jade beads
30 teak Beads
So we need to find the highest common factor for both 24 and 30
The factors for both numbers are
24 -1,2,3,4,6,8,12,24
30 - 1,2,3,5,6,10,15,30
The highest common factor for both is 6
The greatest number of necklaces she can make is 6
Number of jade beads - 24/6 = 4 jade beads
Number of teak beads - 30/6 = 5 teak beads
So each necklace will have 4 jade beads and 5 teak beads
Answer:
12 cm
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of near and far distances to the circle from the point of intersection of the secant and tangent:
(8 cm)^2 = (4 cm)(4 cm +x)
16 cm = 4 cm +x . . . . . . divide by 4 cm
12 cm = x . . . . . . . . . . . . subtract 4 cm