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3 years ago

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.

Mathematics

1 answer:

dem82 [27]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

• Parallel lines have equal slopes, thus

y = - 4x + c ← is the partial equation

To find c substitute (- 9, - 4) into the partial equation

- 4 = 36 + c ⇒ c = - 4 - 36 = - 40

y = - 4x - 40 ← in slope- intercept form

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 4 and (a, b) = (- 9, - 4), thus

y - (- 4) = - 4(x - (- 9)), that is

y + 4 = - 4(x + 9) ← in point- slope form

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Solve for x x ^2 +3x−4=0

Alla [95]

Answer:

= 1

= − 4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the volume of the sphere that has a diameter of 3? use 3.14 for pie

aev [14]

Hey ! there

Answer:

113.04 unit cube

Step-by-step explanation:

In this question we are provided with a sphere having radius 3 units and value of π is 3.14 . And we're asked to find the volume of sphere .

For finding volume of sphere , we need to know its formula . So ,

$\qquad \qquad \: \underline{\boxed{ \frak{Volume_{(Sphere)} = \dfrac{4}{3} \pi r {}^{3} }}}$

Where ,

π refers to 3.14

r refers to radius of sphere

Solution : -

Now , we are substituting value of π and radius in the formula ,

$\quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times (3) {}^{3}$

Simplifying it ,

$\quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times 3 \times 3 \times 3$

Cancelling 3 with 3 :

$\quad \longrightarrow \qquad \: \dfrac{4}{ \cancel{3}} \times 3.14 \times 3 \times 3 \times \cancel{3}$

We get ,

$\quad \longrightarrow \qquad \:4 \times 3.14 \times 9$

Multiplying 4 and 3.14 :

$\quad \longrightarrow \qquad \:12.56 \times 9$

Multiplying 12.56 and 9 :

$\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{113.04 \: unit \: cube}}}} \quad \bigstar$

Henceforth , volume of sphere having radius 3 units is 113 .04 units cube .

<h2>#Keep Learning</h2>

5 0

1 year ago

A certain bleach is 5% active ingredients. In 10 gallons of this bleach, how much is active ingredients

aalyn [17]

You didn't include how many gallons each container of bleach has, so I'm just going assume one container has a gallon inside. if 5% of one gallon is active Ingredients, and there are 10 gallons, then that's 1,000%. (one gal = 100%. 100x10= 1,000) 5 x 10= 50, so 50% of 1,000% is active ingredients, which can be simplified to 5% anyway, so 5%

5 0

3 years ago

Please help.................................................................................................

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

L = 3*w + 1 Given

P = 2*(L + w) Formula for Perimeter. Substitute for L

P = 2*(3w + 1 + w) Combine

P = 2*(4w + 1)

P = 58 Given

58 = 8w + 2 Remove the brackets

58 - 2 = 8w Subtract 2

56 = 8*w Divide by 8

56/8 = w

7 = w

================

Find L

L = 3*w + 1

L = 3*7 + 1

L = 22

================

Check

2L + 2W = 58

2*22 + 2*7 =? 58

44 + 14 = ? 58

58 = 58

The answer checks.

5 0

3 years ago

Which answer choice contains all the factors of 10

babunello [35]

OK so the factor of 10 is 1 times 10 and 5 times 2

3 0

3 years ago