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katen-ka-za [31]
3 years ago
15

Solve the quadratic equation x2 + 14x = 51 by completing the square.

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Given

x² + 14x = 51

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = 51 + 49 , that is

(x + 7)² = 100 ( take the square root of both sides )

x + 7 = ± \sqrt{100} = ± 10 ( subtract 7 from both sides )

x = - 7 ± 10

Thus

x = - 7 - 10 = - 17

x = - 7 + 10 = 3

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Dmitry [639]
So a triangular prisim is like a triangle stacked on top of x number of identical triangles making a height, like a piece of paper made into a stack

so
basically find the area of each side and add

look at diagram/attachment
find area of triangle
1/2 b times h= area of 1 triangular face

multiply by 2 because 2 sides so 1/2 times 2 b times h=b times h

then 3 other sides
find area of each side and add
areas=(H times B)+(H times c)+(H times a)

so SA=(b times H)+(H times B)+(H times c)+(H times a)



8 0
3 years ago
A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to
Dmitry [639]

This question is incomplete- no bar chart was included.  

The complete question was gotten from google.

A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to provide streaming content online. Is this the bar chart of a categorical​ variable, or is it a timeplot that uses bars to show the​ data?

Open the attachment below to see the bar chart'

Answer:

A newspaper used a chart resembling the one to the right to illustrate the rising amounts that a video rental company spends to provide streaming content online. Is this the bar chart of a categorical​ variable, or is it a time plot that uses bars to show the​ data? It is a time plot that uses bars to show the data; because it graphs a series of data recorded over time; presenting the values in sequential order.

Step-by-step explanation:

The chart used in the newspaper to illustrate the rising amounts that a video rental company spends to provide streaming content online is a time plot that uses bars to show the data; because it graphs a series of data recorded over time; presenting the values in sequential order.

6 0
3 years ago
Paul surveyed students in a high school about their favorite sport of the 1, 200 students in the school, 67 tenth-grade students
Leno4ka [110]

Answer:

2 Paul's Survey sample only included tenth graders

Step-by-step explanation:

The reson why this is your answer is simple

Because this is true, he ONLY surveyed tenth-graders. He should have found for all of the students, including the other 1,100 students that didn't get surveyed.

Thanks!

5 0
2 years ago
The width of a rectangle is 3 feet less than it’s length. The perimeter of the rectangle is 98 feet. Find the dimensions of the
horsena [70]

Answer:

The length is 26 feet and the width is 23 feet

Step-by-step explanation:

Let l represent the length of the rectangle.

The width can be represented by l - 3, since it is 3 feet less than the length

Set up an equation:

l + l + (l - 3) + (l - 3) = 98

Add like terms and solve for l:

l + l + (l - 3) + (l - 3) = 98

4l - 6 = 98

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l = 26

So, the length is 26 feet.

Since the width is l - 3, we can plug this in for l to find the width:

l - 3

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So, the length is 26 feet and the width is 23 feet

4 0
3 years ago
A television newscaster from a 24-hour news station wants to estimate the number of hours per day its
svlad2 [7]

Answer:

B, using a sample of size 200

Step-by-step explanation:

just got it right

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3 years ago
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