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3 years ago

Find the equation of the line with slope 5 and passing through (3,3)

Mathematics

1 answer:

tankabanditka [31]3 years ago

6 0

Answer:

The slope of 5 is 0.

Step-By-Step Explanation:

The slope of a line characterizes the direction of a line. So, to find the slope, you need to divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

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Which graph shows a linear function?

NeTakaya

Answer:

the bottom

Step-by-step explanation:

4 0

3 years ago

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Solve for x. Round to the nearest hundredth.

zlopas [31]

Given that the length of the hypotenuse is 8 and the angle is 42°

The length of the one leg of the triangle is x.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

Substituting the values, we get;

$sin \ 42^{\circ}=\frac{x}{8}$

Multiplying both sides of the equation by 8, we get;

$sin \ 42^{\circ}\times8=x$

Simplifying, we get;

$0.669 \times 8=x$

$5.352\approx x$

Therefore, the value of x is 5.35(app.)

Hence, Option A is the correct answer.

8 0

3 years ago

Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to

Fed [463]

Answer:

$\large \boxed{\text{0.0462 min}^{-1}}$

Step-by-step explanation:

One formula for the reproduction of bacteria is

$\dfrac{N}{N_{0}} = e^{kt}$

Data:

N = 2

N₀ = 1

t = 15 min

Calculation:

$\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}$

6 0

3 years ago

Solve for x. 2x+3y=20 -2x+y=4

Mama L [17]

Answer:

x = 1

Step-by-step explanation:

-2x + y = 4

y = 2x + 4

2x + 3y = 20

2x + 3(2x + 4) = 20

2x + 6x + 12 = 20

8x + 12 = 20

8x = 8

x = 1

3 0

3 years ago

A rectangle has vertices a(1,2), B(1,7), c(4,7), d(4,2). what is the perimiter of the rectangle

aliina [53]

Answer:

Step-by-step explanation:

You see, if you were to plot these points, (1, 2) and (1, 7) would be 5 points away from each other. If you were to plot the points (4, 2) and (4, 7) those points would also be 5 points away from each other. Now, (1, 2) and (4, 2) are 3 points apart as well as (1, 7) and (4, 7). Therefore, 5 + 5 = 10, 3 + 3 = 6, and finally, 10 + 6 = 16!

7 0

3 years ago

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