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3 years ago

find the equation of a line through the coordinate (3,6) and parallel to the line represented by y=5/3 x-1

Mathematics

1 answer:

maw [93]3 years ago

5 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

For lines to be parallel, their slopes have to be the SAME.

The given line's slope is 5/3, so the parallel line's slope is also 5/3

y = 5/3x + b

To find "b", plug in the point (3,6) into the equation

y = 5/3x + b

6 = 5/3(3) + b

6 = 5 + b

1 = b

y = 5/3x + 1

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Please help!!

weqwewe [10]

Answer:

The vertex of the parabola = (-7 , -4)

Step-by-step explanation:

Step(i):-

Given that the parabola y = 4 x² + 56 x +192

y = 4 (x² + 14 x + 48 )

y = 4 ( x² + 2 × 7 (x) + 49-1)

y = 4 ( x² + 2 × 7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

y = 4 ( x + 7 )² - 4

Step(ii):-

The general form of the parabola in algebraically

y = a ( x-h)² +k

The equation

y = 4 ( x + 7 )² - 4

y = 4 ( x-(-7))² - 4

The vertex of the parabola (h,k) = (-7 , -4)

Final answer:-

The vertex of the parabola = (-7 , -4)

8 0

3 years ago

the number of blueberry muffin that a baker makes each day is 40% of the total number of muffins she makes. math problem part A:

kiruha [24]

You are told that out of the total number of muffins that the baker bakes everyday, 40% of those are blueberry.

A) That means 36 is 40% of some number. There are many ways of solving this. You can create two fractions and set them equal to each other and solve for your missing value.
One fraction is the fraction of the total number that are blueberry. 40% are blueberry, meaning 40/100 = 4/10 = 2/5 are blueberry.
The other fraction is the fraction of the total number of muffins baked that the 36 blueberry muffins makes up. Let's call the total number of muffins "x." That means 36/x is the your second fraction.

Set 2/5 equal to 36/x and solve for x by cross-multiplying:
$\frac{2}{5} = \frac{36}{x} \\
2x = 180\\
x = 90$

Since x = 90, that means 90 total muffins were baked on Monday.

---------

B) This time you know the total number of muffins that were baked is 60 and you're looking for the number of blueberry muffins. Repeat what we did in part A, but this time we're solving for x as the number of blueberry muffins.
The fraction of all the muffins that are blueberry is still 40% = 2/5.
The second fraction will be the number of blueberry muffins x over the total number of muffins, 60. So, x/60.

Set 2/5 equal to x/60 and solve for x by cross-multiplying:
$\frac{2}{5} = \frac{x}{60} \\
5x = 120\\ 
x = 24$

The number of blueberry muffins that the baker makes on Tuesday is 24.

6 0

3 years ago

What is 0.25% of K2 000?

goldfiish [28.3K]

$\huge\text{Hey there!}$

$\large\text{When you hear/see the word of in mathematics, it usually means }\\\large\text{\bf multiplication. }$

$\large\text{So, when you think of think of the word \underline{of} think of its asking you to}\\\large\text{\bf multiply }$

$\large\text{Now that we got that run down out of the way lets answer your given}\\\large\text{question}$

$\large\textsf{0.25\% of 2,000}$

$\large\textsf{= 0.25\%} \times \large\textsf{2,000}$

$\large\textsf{0.25\%} = \mathsf{\bf \dfrac{25}{100}}$

$\mathsf{= \dfrac{25}{100} \times 2,000}$

$\mathsf{\dfrac{25}{100}= \bf 0.0025}$

$\large\textsf{= 0.0025} \times \large\textsf{2,000}$

$\large\text{= \bf 5}$

$\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 5}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

7 0

3 years ago

What is 0.85 rounded

Nikolay [14]

0.85 is 0.85 rounded to the nearest hundredth.
.9 is 0.85 rounded to the nearest tenth
1 is 0.85 rounded to the nearest whole number
0 is 0.85 rounded to the nearest ten, hundred, etc.

7 0

4 years ago

Read 2 more answers

A line passes through the points (1, –6) and (4, 3).

Ivanshal [37]

Answer:

y = - 9

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )