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2 years ago

Which is the equation of the line with slope 3 that contains point (-1,5)?

Mathematics

2 answers:

Elena-2011 [213]2 years ago

7 0

The answer is y-5=3(x+1)

kotegsom [21]2 years ago

4 0

Answer:

$y-5=3(x+1)$

Step-by-step explanation:

We can see that the question is asking for the Point-Slope Form;

$y-y_{1} =m(x-x_{1})$

The points go into the equation for $y_{1}$ and $x_{1}$

$y-5=m[x-(-1)]$

M would be the slope;

$y-5=3[x-(-1)]$

Which basically is:

$y-5=3(x+1)$

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A miniature quadcopter is located at xi = −1.75 m and yi = −5.70 m at t = 0 and moves with an average velocity having components

Black_prince [1.1K]

The quadcopter's average velocity is given in terms of change in position by

$\vec v_{\rm av}=\dfrac{\Delta x}{\Delta t}\,\vec\imath+\dfrac{\Delta y}{\Delta t}\,\vec\jmath$

where $\Delta x=x_f-x_i$ , the difference in the quadcopter's final and initial positions and $\Delta t=(1.60-0)\,\mathrm s=1.60\,\mathrm s$ .

The $x$ -component of the average velocity is 2.70 m/s, so

$2.70\dfrac{\rm m}{\rm s}=\dfrac{x_f-(-1.75\,\mathrm m)}{1.60\,\rm s}\implies \boxed{x_f=2.57\,\mathrm m}$

and the $y$ -component is -2.50 m/s, so

$-2.50\dfrac{\rm m}{\rm s}=\dfrac{y_f-(-5.70\,\mathrm m)}{1.60\,\rm s}\implies\boxed{y_f=-9.70\,\mathrm m}$

4 0

3 years ago

Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

Degger [83]

Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

5 0

3 years ago

“Jessie has 2/3 of a bag of apples that she wants to divide equally among her 5 siblings. What fractional part of the bag

Nesterboy [21]

Answer:

2/15

Step-by-step explanation:

2/3*5

2/3*1/5=2/15

*=multipliy

6 0

3 years ago

Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents?

AVprozaik [17]

For either one of the deals, just find what one card equals and times it by how many cards the other equation has.

e.g. 0.35 cents divide by 10 = 0.035. And now, you times it by 12 since the other deal is 12 cards for 40 cents.

0.035 x 12 = 0.48

So, 10 cards for 35 cents is not the better deal.

7 0

3 years ago

Read 2 more answers

There is a number such that four times the number plus 3 is equal to 19. Find the number

frosja888 [35]

Answer:

Step-by-step explanation:

We have been given that it equals 19 when added to 3 and multiplied by 4 so follow these steps:

1. set the equation 4x+3=19

2. solve for x

4x+3-3=19-3

This is used to solve for x

3. 4x=16 is found

4. if 4x=16, we divide 16/4 and get 4!

That's your answer hope it helped!

3 0

3 years ago

Read 2 more answers