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3 years ago

Write an equation in point slope form of the line passes through the point (9,0) and has a slope of m=-3

Mathematics

1 answer:

Brut [27]3 years ago

7 0

Answer:

$\huge y = - 3(x - 9)$

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

From the question we have the final answer as

$y - 0 = - 3(x - 9) \\ \\ \\ y = - 3(x - 9)$

Hope this helps you

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How many times larger is 7 x 106 than 3.5 x 10°?

pickupchik [31]

7 x 106 = 742 3.5 x 10 = 35 742-35=701.it is 701 time larger

6 0

3 years ago

A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the cit

maw [93]

Answer:

I think the answer is either c or d. but i think your answer is good

Step-by-step explanation:

7 0

3 years ago

15x-7=2+12x I need help with this

Amanda [17]

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 3}}}}$

<h3>♁ Question : Solve for x</h3>

15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>

$\text{15x - 7 = 2 + 12x}$

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛ $\sf{15x - 12x - 7 = 2}$

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛ $\sf{15x - 12x = 2 + 7}$

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛ $\sf{3x = 2 + 7}$

Add the numbers : 2 and 7

➛ $\sf{3x = 9}$

Divide both sides by 3

➛ $\sf{ \frac{3x}{3} = \frac{9}{3}}$

➛ $\boxed{ \bold{ \sf{x = 3}}}$

The value of x is $\boxed{ \sf{3}}$

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

$\sf{15x - 7 = 2 + 12x}$

$\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}$

$\dashrightarrow{ \sf{45 - 7 = 2 + 36}}$

$\dashrightarrow{ \sf{38 = 38}}$

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>

If an equation contains fractions ,multiply each term by the L.C.M of denominators.
Remove the brackets , if any.
Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
Simplify and get the single term on each side.
Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0

2 years ago

Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true. Group of answer

xz_007 [3.2K]

Just replace all of the x’s with 5 and solve using order of operations. I will post what I got for my answer in the comments of the answer if you need it.

6 0

3 years ago

Candice and christ run a relay race at recess. Candice runs 1/2 of a lap around the track. Chris runs 1/3 of a lap around the tr

eduard

Answer:

Candice ran 1/6 of a lap further than Chris.

Step-by-step explanation:

we know that

To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs

$\frac{1}{2}-\frac{1}{3}=\frac{3-2}{6}=\frac{1}{6}\ lap$

therefore

Candice ran 1/6 of a lap further than Chris.

5 0

3 years ago