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2 years ago

Find an equation of the line through (4,5) and parallel to y=3x+5.

Mathematics

1 answer:

melisa1 [442]2 years ago

3 0

GIVEN: y = 3x + 5

--> slope of given line = 3

--> This means that your equation must have the same slope, or "m"

FORMULA OF A LINE: y = mx + b

--> Use point-slope form to find "b"

POINT SLOPE FORM: y - y₁ = m ( x - x₁ )

--> Plug in your given point AND the slope of the given line

y - 5 = 3 ( x - 4 )

y - 5 = 3x - 12

y = 3x - 7

<h3>ANSWER: y = 3x - 7</h3>

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The width of a rectangle is 3 inches less than twice the length. If the length of the rectangle is represented by L, write an al

Klio2033 [76]

2L - 3 = Width
so if Width = w
w = 2L - 3

7 0

3 years ago

Laura randomly pulled a marble from a bag and then replaced it.

marissa [1.9K]

Answer: C. 180 times

Step-by-step explanation:

From the 60 trials, the percentage of times Laura picked a green marble was:

= 100% - Percentage of times blue and red were picked

= 100% - 25% - 15%

= 60%

If these results were repeated with 300 trials, the number of times Laura would be expected to pick green would be:

= 60% * 300

= 180 times

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3 years ago

A parallelogram has one angle that measures 118°. What are the measures of the other three angles in the parallelogram?

MariettaO [177]

Step-by-step explanation:

Given

We know that in a parallelogram opposite angles are equal. So 

1st and 3rd angles = 118°

Let 2nd and 4th angles = x

Now

118° + 118° + x + x = 360° ( Being sum of angles of parallelogram) 

236° + 2x = 360°

2x = 360° - 236°

2x = 124°

Therefore x = 62°

Now the measure of other all angles 

118° , 62° , 118°, 62°

3 0

3 years ago

Make a the subject of a2+b2=c2

wel

Answer:

$a=\sqrt{c^2-b^2$

⇒ $a=\sqrt{(c+b)(c-b)}$ [Factorized form]

Step-by-step explanation:

Given expression:

$a^2+b^2=c^2$

We need to make $a$ the subject.

In order to do that we need to solve the expression for $a$ in terms of $b$ and $c$

We have,

$a^2+b^2=c^2$

Subtracting both sides by $b^2$

$a^2+b^2-b^2=c^2-b^2$

$a^2=c^2-b^2$

Taking square root both sides in order to remove square of $a$

$\sqrt{a^2}=\sqrt{c^2-b^2}$

$a=\sqrt{c^2-b^2$

The difference of squares can be factorized and written as:

$a=\sqrt{(c+b)(c-b)}$ [difference of squares $x^2-y^2=(x+y)(x-y)$ ]

4 0

3 years ago

Es la distancia que hay entre los focos de la elipse

Jet001 [13]

Answer:

yo no hablo espanol

Step-by-step explanation:

8 0

3 years ago