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2 years ago

What is the answer to 3+2(2+1)

Mathematics

2 answers:

ra1l [238]2 years ago

5 0

answer:

9 po

explanation:

Luba_88 [7]2 years ago

3 0

Answer:

$3+2\left(2+1\right)$

$(2+1)=3$

$3+2\times \:3$

$3+6$

$9$

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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36

Vladimir79 [104]

The two intersection points are (-2.79, -0.58) and (0.79, 6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

$x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}$

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79, -0.58) and (0.79, 6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

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5 0

2 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

What is the area of georgina rounded to the nearest mile 59,424.77

AleksAgata [21]

<h2>Answer: </h2>

59,425 sq mi

<h2>Step-by-step explanation: </h2>

When you want to round to the units place, you look at the digit in the number that is in the place to the right of that: the tenths place. Here, that digit is 7, which is more than 4. Because that digit is more than 4, 1 is added to the units place and all the digits to the right of that are dropped.

This gives you 59,424 +1 = 59,425.

If the tenths digit were 4 or less, no change would be made to values in the units place or to the left of that. The tenths digit and digits to the right would be dropped.

... 59,424.3 ⇒ 59,424 . . . . . for example

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3 years ago

Kris is setting up tables for an awards banquet. Each table seats 16 people. What is the fewest number of tables

oksian1 [2.3K]

Divide 132 by 16 to get 8.25 and you have to round up because you can’t fit 0.25 of people on a table.

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3 years ago

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How do you determine whether a system of linear equations has no solutions, one solution, or infinitely many solutions?

Charra [1.4K]

The answer to this is

<span> If the lines are the same, the equations are dependent linear equations. Using the graph of y = x and x + 2y = 6, shown below, determine how many solutions the system has. Then classify the system as consistent or inconsistent and the equations as dependent or independent. The lines intersect at one point.</span>

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3 years ago