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2 years ago

Solve for W 4w^2+9w= -2

Mathematics

1 answer:

7nadin3 [17]2 years ago

3 0

Answer:

$w_1=-\frac{1}{4},w_2=-2}$

Step-by-step explanation:

$4w^2+9w=-2$

$4w^2+9w+2=0$

$w^2+9w+8=0$

$(w+1)(w+8)=0$

$(4w+1)(w+2)=0$

$w_1=-\frac{1}{4},w_2=-2}$

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Select the correct answer.

EleoNora [17]

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{3-1}{-2+3}$

m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{4-1}{-1-0}$

= -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

From equation (1) and (2),

2x + 7 = -3x + 1

5x = -6

x = $-\frac{6}{5}$

x = $-1\frac{1}{5}$

From equation (1),

y = 2x + 7

y = $-\frac{12}{5}+7$

= $\frac{-12+35}{5}$

= $\frac{23}{5}$

= $4\frac{3}{5}$

Therefore, exact solution of the system of equations is $(-1\frac{1}{5},4\frac{3}{5})$ .

Option (B) will be the answer.

5 0

4 years ago

This Question: 1 pt

Burka [1]

Answer:

1. 75

Step-by-step explanation:

take boths numbers add them up then divide but by 2

3 0

4 years ago

Which number is composite? 23897993

-Dominant- [34]

Which number is composite in 23897993?
A composite number is a number that has multiple factors (9: 1,3,9)

8 0

4 years ago

Ixl help ASAP PLZ HELP

frutty [35]

Answer:

(9,-6)

(9,2)

(8,2)

(8,-6)

Step-by-step explanation:

To reflect something over the y axis all you have to do is change the sign of the X coordinate

which means that

(-9,-6) is (9,-6)

The other answers are

(9,2)

(8,2)

(8,-6)

4 0

3 years ago

Anna has leaned a ladder against the side of her house. If the ladder forms a 72º angle with the ground and rests against the ho

LuckyWell [14K]

Answer:

(A) 2 meter

Step-by-step explanation:

It is given that the ladder forms a 72º angle with the ground and rests against the house at a spot that is 6 meters high.

Let the measure of bottom of the ladder from the wall be x, then using the trigonometry, we have

$\frac{CB}{AB}=tan72^{\circ}$

$\frac{6}{x}=tan72^{\circ}$

$\frac{6}{x}=3.077$

$x=\frac{6}{3.077}$

$x=1.94$

$x$ ≈ $2m$

Thus, option A is correct.

6 0

3 years ago

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