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2 years ago

Write the equation of a line using the following information: m = -4, b = 3

Mathematics

2 answers:

german2 years ago

8 0

Answer:

sorry

Step-by-step explanation:

marshall27 [118]2 years ago

5 0

Sorry try searching it up

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Find the determinant of the matrix.

Natalka [10]

Answer:

Step-by-step explanation:

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc$

0(4)-4(0) = 0

8 0

2 years ago

Dorji thought of a number. He first multiplied the number by 3 and then subtracted 12

jeyben [28]

Answer

The answer is 24

Step-by-step explanation

24 x 3 = 72
72 - 12 = 60
60/6 = 10
10 - 4 = 6

6 0

2 years ago

A 140 kg camera is suspended by two wires over a 40 metre wide football field to get shots of the action from above. At one poin

Katen [24]

Answer:

Please red the answer below

Step-by-step explanation:

In order to determine the length of each cable you use the Newton second law for each component of the forces involved in the situation.

For the x component you have:

$T_1cos\theta_1-T_2cos\theta_2=0$ (1)

T1: tension of the first cable = 1500N

T2: tension of the second cable = 800N

θ1: angle between the horizontal and the first cable

θ2: angle between the horizontal and the first cable

For the y component you have:

$T_1sin\theta_1+T_2sin\theta_2-W=0$ (2)

W: weight of the camera = Mg = (140kg)(9.8m/s^2) = 1372N

You can squared both equations (1) and (2) and the sum the two equations:

$T_1^2cos^2\theta_1=T_2^2cos^2\theta_2\\\\T_1^2sin^2\theta_1=T_2^2sin^2\theta_2-2WT_2sin\theta_2+W^2$

Then, you sum the equations:

$T_1^2(cos^2\theta_1+sin^2\theta_1)=T_2^2(sin^2\theta_2+cos^2\theta_2)-2Wsin\theta_2+W^2$ (3)

Next, you use the following identity:

$sin^2\theta+cos^2\theta=1$

and you obtain in the equation (3):

$T_1^2=T_2^2-2WT_2sin\theta_2+W^2\\\\sin\theta_2=\frac{T_2^2-T_1^2+W^2}{2WT_2}=\frac{(800N)^2-(1500)^2+(1372N)^2}{2(800N)(1372N)}=0.066\\\\\theta_2=sin^{-1}0.066=27.23\°$

With this values you can calculate the value of the another angle, by using the equation (1):

$\theta_1=cos^{-1}(\frac{T_2cos(27.23\°)}{T_1})=cos^{-1}(\frac{(800N)(cos27.23\°)}{1500N})\\\\\theta_1=61.69\°$

Now, you can calculate the length of each cable by using the information about the width of the football field. You use the following trigonometric relation:

$l_1cos\theta_1=40-d\\\\l_2cos\theta_2=d\\\\$

d: distance to the right side of the field

By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.

3 0

2 years ago

You need 3 cups of cherries for every 5 cups of watermelon in a recipe for cherry-watermelon fruit smoothies.how many cups of ea

Paha777 [63]

Answer:

24 cups of cherries and 40 cups of watermelon.

Step-by-step explanation:

3 + 5=8

64 divided by 8 = 8

3x8= 24

5x8= 40

24 + 40 = 64

6 0

3 years ago

The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slop

LekaFEV [45]

Answer:

a. The slope is 5/4

b. The equation in slope and intercept form is y = 5/4·x + 12

c. The base cost of making a fruit juice is $12

Step-by-step explanation:

The equation that gives the cost in dollars of making your own fruit juice is given as follows;

y - 2 = 5/4·(x + 8)

a. The slope = The coefficient of x = 5/4

The slope = 5/4

b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;

y - 2 = 5/4·(x + 8)

y = 5/4·x + 10 + 2

y = 5/4·x + 12

c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12

The base cost of making a fruit juice = $12.

6 0

3 years ago