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11 months ago

Factoring by grouping4y^2 + 8y +7y +14

Mathematics

1 answer:

Dominik [7]11 months ago

4 0

Answer:

(4y + 7)(y + 2)

So y = -7/4 and -2

Explanation:

Given the below quadratic expression;

$4y^2+8y+7y+14$

Let's go ahead and group the factors as shown below;

$4y(y+2)+7(y+2)$

This will give us;

$(4y+7)(y+2)$

So if we equate (4y + 7) to zero, we'll have;

4y + 7 = 0

4y = -7

y = -7/4

Also,

y + 2 = 0

y = -2

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Answer: Option 'A' is correct.

Step-by-step explanation:

In the binomial probability formula, we have

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x is the number of trials among which we decide the number of successes and number of failures.

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3 years ago

P(1, 10)and Q(7,4) are the endpoints of a line segment. What is the midpoint M of that line segment

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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nadezda [96]

The formula for distance between two points is:

$\sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2}}$

In this case:

$x_{2} =0\\x_{1} =3\\y_{2} =-9\\y_{1} =-8$

^^^Plug these numbers into the formula for distance like so...

$\sqrt{(0-3)^{2} + (-9 - (-8))^{2}}$

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

First we have parentheses. Remember that when solving you must go from left to right

$\sqrt{(0-3)^{2} + (-9-(-8))^{2}}$

0 - 3 = -3

$\sqrt{(-3)^{2} + (-9-(-8))^{2}}$

-9 - (-8) = -1

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Next solve the exponent. Again, you must do this from left to right

$\sqrt{(-3)^{2} + (-1)^{2}}$

(-3)² = 9

$\sqrt{9 + (-1)^{2}}$

(-1)² = 1

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Now for the addition

$\sqrt{(9+1)}$

9 + 1 = 10

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Your approximate answer would be about 3.16

***Remember that the above answers are in terms of units

Hope this helped!

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Explanation:

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