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3 years ago

I don't know how to write a proportional line with a slope of 3?

Mathematics

1 answer:

kirill115 [55]3 years ago

5 0

Me either :(
but you got this giiirrrrlll

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A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra

Harman [31]

Answer:

A.

The student made an error in step 3 because a is positive in Quadrant IV; therefore,

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

Step-by-step explanation:

Given

$P\ (a,b)$

$r = \± \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}$

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

$cos\theta = \frac{a}{r}$

Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}}$

Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

So, from the list of given options;

The student's mistake is that a is positive in quadrant iv and his error is in step 3

3 0

2 years ago

A police cruiser approaching a right-angled intersection from the south, is chasing a speeding car that has turned the corner an

vlada-n [284]

Three hours is the answer I think

6 0

2 years ago

Read 2 more answers

Rewrite 4 6/7 as an improper fraction.

natima [27]

Im pretty sure its 34/7

4 0

3 years ago

Part a : solve - vp + 40 < 65 for v .

miskamm [114]

Answer:

$\large \text{Part a:}\\\\for\ d-\dfrac{25}{d}}$

$\large\text{Part b:}\\\\\boxed{r=\dfrac{7}{3}w-5}$

Step-by-step explanation:

$\text{Part a}\\\\-vp+400,\ \text{then}\ \boxed{v>-\dfrac{25}{d}}\\\\\text{if}\ d$

$\text{Part b}\\\\7w-3r=15\qquad\text{subtract 7w from both sides}\\\\-3r=-7w+15\qquad\text{divide both sides by (-3)}\\\\\boxed{r=\dfrac{7}{3}w-5}$

6 0

3 years ago

Write an equation in slope intercept form from two points (5,5) and (3,7)

DochEvi [55]

Answer:

y = -x + 10

Step-by-step explanation:

find the slope (-1) and y intercept (10)

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

6 0

3 years ago

Read 2 more answers