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2 years ago

Write an equation to represent the following statement.

Mathematics

1 answer:

forsale [732]2 years ago

7 0

Answer:

K = 17

Based on the given conditions, formulate:

51 / 3 = k

Swap the sides : k = 51 / 3

Cross out the common factor: k = 17

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The length of a line segment is 13 units. One end point of the line segment is (-3,7). Find four points that could be the other

monitta

Answer:

( -16,7 ) , ( 10,7 ) , ( -3,20 ) and ( -3,-6 )

Step-by-step explanation:

We are given a line segment with one end point ( -3,7 ) and length 13 units.

So, there are many possibilities for the other end points.

Four of them are:

A. 13 units left i.e. ( -3-13,7 ) = ( -16,7 )

B. 13 units right i.e. ( -3+13,7 ) = ( 10,7 )

C. 13 units up i.e. ( -3,7+13 ) = ( -3,20 )

D. 13 units down i.e. ( -3,7-13 ) = ( -3,-6 ).

So, the other four end points could be ( -16,7 ) , ( 10,7 ) , ( -3,20 ) and ( -3,-6 ).

3 0

3 years ago

Simplify the expression

denis-greek [22]

Answer:

-2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1

tatuchka [14]

Answer:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Where $\frac{dx}{dt}$ and $\frac{dy}{dt}$ are the first derivatives of $x$ and $y$ regarding $t$ . Let be $x(t) =2\cdot \cos t$ and $y(t) = 8\cdot \sin t$ , their first derivatives are found:

$\frac{dx}{dt} = -2\cdot \sin t$ and $\frac{dy}{dt} = 8\cdot \cos t$

Thus, equation for the slope is:

$\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}$

$\frac{dy}{dx} = -\frac{4}{\tan t}$

If $\frac{dy}{dx} = -1$ , then:

$-1 = -\frac{4}{\tan t}$

$\tan t = 4$

Tangent is positive at 1st quadrant and is a function with a periodicity of $\pi$ , the set of solutions are:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

7 0

3 years ago

If b = 3, then b -2 is equivalent to _____.<br><br> 9<br> -9<br> -6

Andrew [12]

Answer:

3x-2= -6

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Catherine works a hourly rate of $22.50 and earns double when she works overtime she works 40 regular hours and 12 hours overtim

Zielflug [23.3K]

So it starts by 22.50 regularly so she worked 40 regular hours so $22.50 * 40h= $900 and in over time she gets double for working over time so $22.50 * 2 = $45 and she worked 12 hours so 12h * $45 = $540 then we need to add those two numbers up 900 + $540 = $1,440 is our answer/outcome.

5 0

3 years ago