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3 years ago

Given 3 collinear points and 1 other point that is not on the same line, how many lines can be drawn

1 answer:

6 0

You can only draw one line containing three collinear points. Indeed, for any two distinct points, there's only one line that passes through both points.

<span>Of course, there are countless different ways to write the equation of such a line, but if you graph them (or algebraically manipulate the equations), they all turn out to be the same line.</span>

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Find the surface area of the pyramid

jolli1 [7]

The surface area is ≈ 451.92

5 0

3 years ago

What is the perimeter of a rectangle with sides 2/3x+10 and 1/3x+5

gogolik [260]

Answer:

The perimeter of the rectangle is 2x+ 30

Step-by-step explanation:

Sides of the rectangle are 2/3x+10 and 1/3x+5

Now, Perimeter of the Rectangle = 2(Length + Breadth)

Here, sum of the sides = $(\frac{2}{3}x + 10 ) + (\frac{1}{3}x + 5 ) = (\frac{2}{3}x +\frac{1}{3}x ) + ( 10+ 5 )$

adding like terms with like terms, we get

( $\frac{2x + x}{3}) + 15 = \frac{3x}{3} + 15$

Hence, Sum = (x + 15)

Now, 2(Length + Breadth) = 2(x+15) = 2x + 30

hence, the perimeter of the rectangle = 2x+ 30

8 0

3 years ago

i know this is probably simple but ive forgotten how to do it and i cant find it in my notes help appreciated!

Soloha48 [4]

Answer:

? = 13.6

Step-by-step explanation:

the angle between a tangent and the diameter = 90°

Then the triangle is right with legs 2 × 6 = 12 and 6.4

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the legs , that is

? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )

? = $\sqrt{184.96}$ = 13.6

6 0

2 years ago

The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

bonufazy [111]

Year New flowers

1 1200

2 300

3 75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by $\frac{1}{4}$

So first term is 1200 and common ratio is $\frac{1}{4}$ .

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200( $\frac{1}{4})^{i-1}$

Now we find the sum

We use sum formula

$Sum = \frac{a}{1-r}$

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

$Sum = \frac{1200}{1-(\frac{1}{4})}$

$Sum = \frac{1200}{\frac{3}{4}}$

Sum = 1600 wildflowers

4 0

3 years ago

When a trend line is drawn on a scatterplot, there are 4 points above the trend line. About how many points should be below the

scoundrel [369]

There is no exact rule for lines of best fit. However, in general, there should be roughly the same amount above as below. So, if we are following this rule, there should be about 4 below as well.

5 0

3 years ago

Read 2 more answers