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Vlad [161]
4 years ago
15

Both the diameter and height of a cylinder vase are 2.5 times greater than a dimilar vase. The surface area of the smaller vase

is 2826 square centimeters. What is the surface area of the larger vase?​
Mathematics
1 answer:
faust18 [17]4 years ago
7 0

Both diameter and height are scaled by 2.5.

Area is measured in squared units ( square centimetres).

Square the scale factor:

2.5^2 = 6.25

Multiply the area of the smaller vase by the scale:

2826 x 6.25 = 17,662.5 square cm.

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What is the slope of the line parallel to the points (3,-7) and (-6,5)
GrogVix [38]

The slope of the line parallel to the points (3,-7) and (-6,5) is -\frac{4}{3}

<u>Solution:</u>

We have been given two points of a line, and we have been asked to find the slope of a line parallel to it.

The given points are: (3,-7) and (-6,5)

According to the definition of parallel lines, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.

And this is only possible if the two lines have the same slope.

Let the slope of the line be denoted by ‘m’.

So, to find the slope of the line given to us we do the following:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  --- equation 1

Where y and x are coordinates of the points given to us.

Therefore substituting the values eq1 becomes:

\begin{array}{l}{m=\frac{5-(-7)}{-6-3}} \\\\ {m=\frac{5+7}{-9}=\frac{12}{-9}=-\frac{4}{3}}\end{array}

Therefore the slope of the line is -\frac{4}{3} So by definition, the slope of a line parallel to this line will also have the slope -\frac{4}{3}

5 0
3 years ago
The graph of a quadratic function (a parabola) has an axis of symmetry x = 4, and passes
frutty [35]

Answer:

y = (x - 4)^2 + 5.89

Step-by-step explanation:

The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.  

The general vertex equation of a parabola is

y = a(x - h)^2 + k, where the vertex is (h, k) and a is a constant coefficient, not yet known.

We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:

5 = a(x - 4)^2 + k

Let's assume that a = 1.  Then

5 = (7.3 - 4)^2 + k.

Simplifying, we get

5 = 3.3^2 + k, or 5 = 10.89 + k.  Then k = -5.89, and the equation is then

y = (x - 4)^2 + 5.89

5 0
3 years ago
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only
Snowcat [4.5K]
Triangles (1/2 base x height)- 1/2(6) x 8 = 24 each
one side (length x height)- 6.5 x 8 = 52
one side (length x height)- 6.5 x 6 = 39
one side (length x height)- 6.5 x 10 = 65
total 180
4 0
3 years ago
Read 2 more answers
Please answer as soon as possible! Brainliest and lots of points! Please give good details and make sense! Thanks! (See attachme
professor190 [17]

Answer:

no because they did not multiply the whole numbers and just multiplied the powers

Step-by-step explanation:

6 0
3 years ago
Answer these questions please guys thanks so much
tankabanditka [31]
The image to the problem isn’t working
4 0
2 years ago
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