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Troyanec [42]
3 years ago
13

Apply the distributive property to factor out the greatest common factor. 14k + 35

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

7\left(2k+5\right)

Step-by-step explanation:

14k+35

35=7*5

14=7*2

7\left(2k+5\right)

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Quadratic Formula to solve the equation x^2- 4x = - 7
mylen [45]

roots of the equation x^2- 4x = - 7 are  2+3i and 2-3i

What are the natures of root of quadratic equation?

Case I: 4ac > b^2

The roots of the quadratic equation ax^2 + bx + c = 0are real and unequal when a, b, and c are real numbers, a 0, and the discriminant is positive.

Situation II:  b^2-4ac =0

The roots and of the quadratic equationax^2 + bx + c = 0  are real and equal when a, b, and c are real numbers, a 0, and the discriminant is zero.

Case III: b^2-4ac<0

The quadratic equation ax^2 + bx + c = 0 has roots when a, b, and c are real numbers, a 0, and the discriminant is negative, but these roots are not equal and are not real. We refer to the roots in this instance as fictitious.

Case IV: Perfect square and b^2 - 4ac > 0

The roots of the quadratic equation ax^2 + bx + c = 0  are real, rational, and unequal when a, b, and c are real numbers, a 0, and the discriminant is positive and perfect square.

Quadratic Formula x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}

x^2- 4x = - 7

x^2-4x+7=0

Here a = 1 , b = -4 , c = 7

using quadratic formula

x={\frac {-(-4)\pm {\sqrt {(-4)^{2}-4(1)(7)}}}{2(1)}}

x={\frac {4\pm {\sqrt {-12}}}{2}}

x={\ {2\pm {\ 3i}}

Learn more about quadratic equation from the link below

brainly.com/question/2279540

#SPJ1

8 0
1 year ago
if one point is located at (-5,3) and another point is located at (7,-4). find the distance between the points. round to the nea
Novay_Z [31]

Answer:

13.9

Step-by-step explanation:

Use the distance formula:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\d = \sqrt{(7 - (-5))^2 + (-4-3)^2}\\d = \sqrt{(12)^2 + (-7)^2}\\d = \sqrt{144 + 49}\\d = \sqrt{193}\\

The square root of 193 rounded to the nearest tenth is 13.9.

7 0
3 years ago
you need to fill a water jug with 8.23 L. you filled it with 2.92 L and then added 3.14 more how much more water do you need?
dalvyx [7]
Find out how much you filled.

2.92 + 3.14 = 6.06 L

Find the remaining.

8.23 L - 6.06 L = 2.17 L

You need 2.17 L more to fill the water jug
7 0
3 years ago
Determine the range of the graph
VashaNatasha [74]

Answer:

is 20

Step-by-step explanation:

hope this helps

8 0
3 years ago
Which statement regarding the diagram is true?
Sergeu [11.5K]
Answer

<span>m∠WXY + m∠YXZ = 180°</span>
7 0
3 years ago
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