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netineya [11]
3 years ago
9

HELP PLZ I WILL GIVE BRAINLIEST!!! Write the prime factorization of 675 using exponents.

Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

Step-by-step explanation:

The prime factorization of 675 is 3 × 3 × 3 × 5 × 5. The factors of a number, x, are the numbers that multiply together to...

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What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?
Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

y = \frac{3}{4}(x - 1)^2 + 4

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

h = 1, k = 4

The directrix is at y = 7, hence:

4 + 4a = 7

a = \frac{3}{4}

Hence, the equation is:

y = a(x - h)^2 + k

y = \frac{3}{4}(x - 1)^2 + 4

More can be learned about the equation of a parabola at brainly.com/question/26144898

4 0
2 years ago
Help and thanks please
goblinko [34]

Answer:

D i think

Step-by-step explanation:

7 0
3 years ago
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in s
vagabundo [1.1K]

Answer:

y = -0.2x - 5.8

Step-by-step explanation:

If a line is given in the form y = mx + b, the "m" is the slope.

For the line given y = 5x, the slope is 5

The line that is perpendicular to this will have slope that is "negative reciprocal of that".

So, the perpendicular line will have slope of  -\frac{1}{5}

So, the Perpendicular Line will have equation:

y = -1/5x + b

Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

y=-\frac{1}{5}x+b\\-7=-\frac{1}{5}(6)+b\\-7=-\frac{6}{5}+b\\b=-7+\frac{6}{5}\\b=-5.8

So the equation of perpendicular line = y = -0.2x - 5.8

4 0
3 years ago
Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti
olga2289 [7]

Answer:

2\frac{2}{3}

Step-by-step explanation:

Given the information

  • 4 containers of 4 different colors
  • 1/3 of each color left over
  • She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color  were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However,  8/3 = 2\frac{2}{3}  > 2\frac{1}{2}  

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is:  2\frac{2}{3}

Hope it will find you well

7 0
3 years ago
Question 7
CaHeK987 [17]

Answer:

6.6

Step-by-step explanation:

The way to do this is to find the tax as a decimal. Worry about the 100 later.

54 * x = 3.56

Divide by 54

x = 3.56/54

x = .06593

Now use the 100

0.06592 * 100 = 6.593

But you want it rounded to the 1/10

So you should get 6.6 %

6 0
3 years ago
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