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2 years ago

Help me with this please. classify the following triangle

Mathematics

2 answers:

ella [17]2 years ago

3 0

Answer:

isosceles triangle

Step-by-step explanation:

svetlana [45]2 years ago

3 0

Answer:

A, B, and, D

Step-by-step explanation:

I'm not 100% sure but i'm pretty sure these are it.

Hope thus helps!

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Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

2 years ago

Helpppp What is 25% of 307 10 | 2 12 1 7 2

inna [77]

Answer:

76.75 is 25% of 307

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Suppose an astronaut can jump vertically with an initial velocity of 5 m/s. The time that it takes him to touch the ground is gi

Vitek1552 [10]

Answer:

$t=1.020s$

Step-by-step explanation:

Given Equation:

$5t-0.5at^{2} =0$

Actually the given equation is the 2nd equation of motion

i.e. $S =V_{i} t+0.5at^{2}$

where $S=0$ because the astronaut jumps on the earth

and initial velocity $V_{i}=5$

to find time $t$ , put the given value of $a=9.8m/s^{2}$ in the given equation, we get

$5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s$

it will take $t=1.020s$ to reach the ground if he jumps on the Earth

3 0

2 years ago

What is the length of a diagonal of a rectangular picture whose sides are 12" x 17" round to the nearest 10th of an inch

MAXImum [283]

A^2 + b^2 = c^2
12^2 + 17^2 = 485
so c^2=485
so c=22.0 inches

5 0

2 years ago

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere

denis-greek [22]

The answers that would fill in the blanks are

2r
a circle
an annulus
1/3πr³
4/3πr³

<h3>What is the Cavalier's principle?</h3>

This principle states that if two solids are of equal altitude then the sections that the planes would make would have to be parallel and also be at the same distances from their bases which are equal such that the volumes of the solids would be equal.

Now we have to fill in the blanks with the solution.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius r and height 2r minus the volume of two cones, each with a radius and height of r. A cross section of the sphere is a circle base of cylinder, is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is an annulus_ .The volume of the cylinder with radius r and height 2r is 2πr³, and the volume of each cone with radius r and height r is 1/3πr³. So the volume of the cylinder minus the two cones is 4/3πr³. Therefore, the volume of the sphere is by Cavalieri's principle

Read more on Cavalieri's principle here

brainly.com/question/22431955

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5 0

4 months ago