Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i
Step-by-step explanation:
to write a line equation we need minimum of two points. basicaly a line is written in the form y=mx+c where, m is the slope of the line and c is the intercept made by the line on x-axis (OR) or if two points (x1,y1) and (x2,y2) are given then we can form a line equation as (y-y1)= (y2-y1)*1/(x2-x1) *x-x1 (OR) (y-y2)= (y2-y1)*1/(x2-x1) *x-x2
Answer:
B
Step-by-step explanation:
lets start off by looking at point A (1,1)
4 units to the right is along the x-axis, so the x-coordinate would be 5 (1 + 4)
2 units up is on the y-axis, so the y-coordinate would be 3 (1 + 2)
A is now (5,3). we can eliminate choices A, C, and D as they each have negative numbers in them, and we are moving in the positive direction, not the negative.
the answer is B
Hypotenuse^2=12^2+5^2=144+25=169
⇒ hypotenuse =V169=13 cm
9514 1404 393
Answer:
(a) The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8)
Step-by-step explanation:
We are given ...
A(-4, 3.2) and A'(-10, 8)
C'( -6, -2)
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The scale factor is the ratio of corresponding coordinates:
A'x/Ax = -10/-4 = 2.5 . . . scale factor
Then the coordinates of C will be ...
C' = 2.5C
C = C'/2.5 = (-6, -2)/2.5
C = (-2.4, -0.8)
