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ozzi
3 years ago
8

Please help!

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

14 minutes

Step-by-step explanation:

10 times 14 = 140

15 times 14 = 210

200+210 = 410

550-140 = 410

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3. What are the intersection points of the line whose equation is y=3x +3 and the
densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

                                   → (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = \frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}

x = \frac{-7\pm \sqrt{169}}{10}

x = \frac{-7\pm13}{10}

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0
3 years ago
Find the length of BC
bazaltina [42]

Answer:

BC = 19.78

Step-by-step explanation:

using sin(x) rule

sin(54)= 16/BC

sin(54)=0.80

∴0.80=16/BC  (divied both side by 0.80)

BC=16/0.80 =19.78

8 0
2 years ago
9. Gabriel is solving 23 x 12. He already multiplied the ones, 2 x 3 = 6. What two digits should he multiply next? How do you kn
Hitman42 [59]

Answer:

20 x 10

Step-by-step explanation:

because these ar​e the remaining digits :D

6 0
2 years ago
You roll a number cube twice first roll is a four second roll I roll a even number is that a defendant or independent situation
Katyanochek1 [597]
Independent because the ratio of the second cube is the same (1:6), and it isn't affected by the result of the first cube
7 0
2 years ago
For Oscar's birthday, his grandparents gave him a 100 dollar gift card to a local movie theater. The theater charges 12 dollars
olga_2 [115]

Answer:

Move 100 to the left of a

100 a

List of all of the solutions

ax100=100a

12= 100a

4 0
2 years ago
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