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3 years ago

Jamie drives to the dance to pick up his younger brother Mike. Because of the dance's

Mathematics

1 answer:

Vika [28.1K]3 years ago

5 0

Answer:

Because of traffic, she averaged only 15 miles per hour on the way there but ... If the total travel time was 2 hours how long does it take her to drive to ...

Step-by-step explanation:

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I need help i don’t know the answer

marin [14]

Step-by-step explanation:

x= 4

y=6.

......................

3 0

3 years ago

Heather is a cashier. She can ring up 12 customers in 9 minutes.At this rate, how many minutes does it take her to ring up 4 cus

masya89 [10]

12 customers = 9 mins

1 customer = 9 ÷ 12 = 3/4 min

4 customers = 3/4 x 4 = 3 mins

Answer: 3 mins

4 0

3 years ago

For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

3 0

3 years ago

What is the simplified form of the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?

Yuki888 [10]

<span>n = fraction 5 over 3

Explanation;
</span> $\frac{3}{5}n- \frac{4}{5}= \frac{1}{5} n$
<span>Eliminate the demominator by multiplying each term by 5.
3n-4=1
3n=5
n=</span> $\frac{5}{3}$

4 0

3 years ago

Read 2 more answers

Please help! I've been working on this for a few days and I just don't understand, it's due in a few hours. Thank you.

never [62]

Answer:

Part A: α = arc tan (y/x) = tan⁻¹ (y/x)

Part B: quadrant II α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 180°>α>90°

quadrant III α = arc tan (-y)/(-x) = arc tan (y/x) = tan⁻¹ (y/x) 270°>α>180°

quadrant IV α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 360°>α>270°

Part C: quadrant II 180°>α>90° α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 180° - 80.53° = 99.47°

Step-by-step explanation:

PART A:

In this case we will use trigonometric function tanα to calculate angle α:

tanα = y/x => α = arc tan (y/x) = tan⁻¹ (y/x)

This formula is use in general way and in first quadrant 90°>α>0°

Part B:

But in the other quadrants you must know to use unit circle to reduce angle from II, III and IV quadrant to the first quadrant.

If angle is in the quadrant II 180°>α>90° then

tanα = - tan (180°-α)

If angle is in the quadrant III 270°>α>180° then

tanα = tan (α-180°)

If angle is in the quadrant IV 360°>α>270° then

tanα =- tan (360°-α)

Part C:

vector w (x,y) = (-1,6) this vector lies in quadrant II 180°>α>90°

180°- α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 80.53° => 180° - α = 80.53°

α = 180° - 80.53 = 99.47°

It's not easy to understand this, but it's not easy for me to explain.

God with you!!!

5 0

2 years ago