g(x) = 3x + 1; Find g(7)

Given :-

To Find :-

Solution :-

The equation of the line p is ,

[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4

On comparing to slope intercept form of the line which is y = mx + c , we have ,

[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3

Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,

[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]

Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,

[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]

[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]

[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)

[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6

[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x

[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9

Hence the required answer is y = -3/5x - 9 .

Answer:

For Perpendicular lines you have to know

Step-by-step explanation:

Slope of P ×slope of q=-1 (always since they are perpned..)

so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p

so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes

And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b

so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3

uniting the denominater ==>y=-3/5x - 45/5

so that q equation is :y=-3/5x - 9

Answer:

The answer will be 144

Step-by-step explanation:

So first you going to do is solve 3^2 and that will give you 9.

Then you multiply 12*9 and that will give you 108 then you add 36 and that will give you 144.

Answer:

144

Step-by-step explanation:

To solve this expression, use PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Follow this order to solve any type of expression with no variables.

The first applicable step of PEMDAS is exponents. So, do 3^2.

Next, multiply 12 x 9

Finally, add the last terms

So, the final answer is 144.

Answer:

lets get started

Step-by-step explanation:

Answer:

Step-by-step explanation:

When we read the question carefully, we get the ratio 330:5

=> 330:5 = 330/5 = 65/1 = 65:1

Conclusion:

Therefore, the ratio is equivalent to 65:1.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

22 , 34 , 124

Step-by-step explanation:

hope this helps!

Answer:

x=-3

Step-by-step explanation:

This is a one step solution all you do is divide 5 into -15

-15/5 = -3

so -3 = x

Answer:

i think its 16

Step-by-step explanation:

Answer: You just need to count the shaded squares, and if half of the square is shaded, it counts as 1. Therefore, the area is 42 square units.

Answer:

23 Dimes and 8 Quarter.

Step-by-step explanation:

Important info:

31 Coins worth a total of $4.30

Note:

Dimes = .10

Quarters = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many of each type of coin does she have?

Solution:

Lets get rid of the .30 cent in $4.30 so

.30 = 3 Dimes

Now $4.00,

4.00-1.00 of quarter

=

3.00 and 4 quarter..

Right now we have 3 Dimes and 4 Quarter = $1.30.

And that 7 Coins worth of $1.30.

3.00-2.00= 1.00 and 20 Dimes so now we have

23 Dimes and 4 Quarter.

And that add up to 27.

1.00-1.00 of Quarter = 4 Quarter.

so 31 worth a total of $4.30.

So that's 23 Dimes and 8 Quarter.

Check Work:

23 Dimes = $2.30 and 8 Quarter = $2.00

$2.30 + $2.00 = 4.30

Hence, The Correct Answer is 23 Dimes and 8 Quarter.

~[ RevyBreeze }~

Answer:

x = - 0.89

Step-by-step explanation:

x - 8.2 = - 9.09

x = - 9.09 + 8.2

x = - 0.89

Answer:

-0.89

Step-by-step explanation:

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

Additional comment

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

Answer:

60

Step-by-step explanation:

Answer:

The parent graph is translated 2 to the left and up 6 units.

Step-by-step explanation:

The +2 moves the  parent 2 units to the left and the + 6 moves it up 6 units.

Answer:

Step-by-step explanation:

To find out ∠B, we need to find out what is ∠A. We are given one clue that the outer angle of ∠A is 143°. Can we use this clue and find out ∠A? Let's find out!

Since we have found ∠A, we can now find ∠B.

Conclusion:

We have finally found out our answer and our answer is '∠B = 82°'.

[tex]GeniusUser[/tex]

Answer:

Multiply the number in the parantheses by 3. Then subtract them.

Step-by-step explanation:

Answer: no.

Explanation:

As an example, let's use y=2/3x-8.

In this formula, the 2/3 before the x I the slope of the problem. The -8 would be the y-intercept. You use this formula to find both of those to graph a line, you do not multiply the slope and the x together.

Answer:

85.5

Step-by-step explanation:

Answer:

(2*2 3+2) * (4*2 3-1/2)

(4*5) * (8*3-0.5) = (8*2.5)

20*200

4000

Answer:

The correct answare would be 3.54 x 10^22 N  

Answer:

(−∞,5)

Step-by-step explanation:

-2x>-10

x<5

Answer:

Radius = 0.0000035m

Step-by-step explanation:

0.000007m / 2 = Radius

Radius = 0.0000035m

Answer:

Their highest common factor is the number 9

Answer:

2^2 * 3^2 * 7

Step-by-step explanation:

Keep dividing by prime numbers:

2 ) 252

2)  126

3)    63

3)    21

        7

so 252 = 2*2*3*3*7

= 2^2 * 3^2 * 7

Answer:

7,308,630

Step-by-step explanation:

Calculated it.

Answer:

Step-by-step explanation:

by the property of corresponding angles (2x +16) and (3x-12) will be equal

working uot from the equation 3x-12 = 2x+16 we get x=28

and we know that 3x-12 and y are supplementry as they form a linear pair

from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108

Answer:

no you're not wrong go with your gut

Step-by-step explanation:

Answer:

  (a)  0.4307

  (b)  1.3906

Step-by-step explanation:

  [tex]\log_5{2}=\log_5{8^{\frac{1}{3}}}=\dfrac{1}{3}\log_5{8}=\dfrac{1.2920}{3}\approx0.4307[/tex]

__

  [tex]\log_5{\dfrac{75}{8}}=\log_5{3\cdot5^2\cdot8^{-1}}=\log_5{3}+2\log_5{5}-\log_5{8}\\\\=0.6826 +2-1.2920=1.3906[/tex]