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maxonik [38]
2 years ago
12

PLEASE HELP!

Mathematics
1 answer:
Gennadij [26K]2 years ago
8 0

Answer:

x² + 6x + 9

Step-by-step explanation:

(x + 3)² = (x + 3)(x + 3)

Each term in the second factor is multiplied by each term in the first factor , that is

x(x + 3) + 3(x + 3) ← distribute parenthesis

= x² + 3x + 3x + 9 ← collect like terms

= x² + 6x + 9

You might be interested in
When converting the equation -x+2y=-10 into slope-intercept form, the first step to solve for y would be to ?
borishaifa [10]

Answer:

add 2x to both sides

Step-by-step explanation:

-x+2y=-10

2y=x-10

y=1/2x-5

5 0
3 years ago
A pair of perpendicular lines intersect at the point (5,9). Write
maw [93]

Answer:

The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18

Step-by-step explanation:

The coordinates of the point of intersection of the two lines = (5, 9)

The coordinates of a point on one of the two lines, line 1 = (-4, 4)

The slope of a line perpendicular to another line with slope, m = -1/m

Therefore, we have;

The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9

Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5

The equation of the line 2 is given as follows;

y - 9 = -9/5×(x - 5)

y - 9 = -9·x/5 + 9

y =  -9·x/5 + 9 + 9

y = -9·x/5 + 18

Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.

6 0
3 years ago
URGENT please help me with this !!!
marin [14]

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = \frac{1}{3} area of base × height, hence

V = \frac{1}{3} × 96 × 15 = 32 × 15 = 480

5 0
2 years ago
Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?​
Alenkasestr [34]
4 years

6000 x .3 = 1,800. 1800 divided by 450 = 4
6 0
2 years ago
Can someone please help me fill in the answer in the bottom.​
Julli [10]

Answer:

Step-by-step explanation:

1) Initial water level = 30 feet

2) Rate of change = (30 - 25) / (0 - 1) = 5/(-1) = -5

5ft  per hour

3) y-intercept = 30

6 0
2 years ago
Read 2 more answers
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