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2 years ago

15

Solve the quadratic equations below. 3x2 + 22x + 35 = 0

1 answer:

mestny [16]2 years ago

3 0

Step-by-step explanation:

3x² + 22x + 35 = 0

(3x + 7)(x + 5) = 0

3x + 7 = 0

x = -7/3

or x+5 = 0

x = -5

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Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2

Nana76 [90]

Answer: $k=18\dfrac{8}{11}$ .

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If a line passing through two points, then

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Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN $=\dfrac{1-0}{5-0}=\dfrac{1}{5}$

The endpoints of segment AB have coordinates $\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)$ and $\left(-2\dfrac{1}{4} , k\right)$ .

$A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)$

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$=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}$

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$=\dfrac{44k-99}{-145}$

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Slope of MN × Slope of AB = -1

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$\dfrac{44k-99}{-725}=-1$

$44k-99=725$

$44k=725+99$

$k=\dfrac{824}{44}$

$k=\dfrac{206}{11}$

$k=18\dfrac{8}{11}$

Therefore, the value of k is $k=18\dfrac{8}{11}$ .

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Alejandra was working on an animal report for school. She worked on it for 4 hours in a week. How many hours did she work on the

Mandarinka [93]

Answer: 0.57 hours each day or 34.28 minutes each day.

Step-by-step explanation:

1. You know that:

-Alejandra worked on the animal report for school for 4 hours in a week.

- A week has seven days.

2. Therefore, to calculate the number of hours she worked on the project each day (which you can call $x$ ), you can divide the number of hours worked on in a week by 7 days.

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$x=\frac{4hours}{7day}\\x=0.57\ hours/day$

Multiply the result by 60 to obtain the time in minutes, then:

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