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suter [353]
3 years ago
12

3x - 9 + 4x Please Help

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0

Answer:

Add like terms 7x - 9

Step-by-step explanation:

Sveta_85 [38]3 years ago
7 0
Add the 4 and 3 then you will get

7x-9
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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:

<em>A.</em>

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

<em />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;

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

3 0
3 years ago
At the movie theatre, child admission is $5.10 and adult admission is $9.00 .
sveticcg [70]

Answer:

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

Step-by-step explanation:

For this problem we can set upt the following notation

X = number of tickets for child

Y= number of tickets for adults

And we know that the total revenue  for Wednesday was 831.60. So then we can set up the following equation for the total revenue

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

8 0
3 years ago
The following repeating decimal[tex](1.33333...) is a:
lutik1710 [3]
Answer is A.Rational number
7 0
2 years ago
Read 2 more answers
Which numbers in Set A = {−7, −4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} S
sweet [91]

Answer:

14, 42

Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7  and 42 is even and a multiple of 7

5 0
3 years ago
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Plzzzz help !!!! 15 points
ArbitrLikvidat [17]

Answer:

1. 17,20

2. 40,80

Step-by-step explanation:

1. 5+3=8

8+3=11

11+3=14

14+3=17

17+3=20

pattern is +3

2. 2.5*2=5

5*2=10

10*2=20

20*2=40

40*2=80

pattern is *2

6 0
3 years ago
Read 2 more answers
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