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2 years ago

PLEEASSE HELP:))) (theres a pic)

Mathematics

2 answers:

mars1129 [50]2 years ago

5 0

If FG is a median here, then it will cut the base in two equal lengths,
so, DG = GE

In short, Your Answer would be Option A

Hope this helps!

Elanso [62]2 years ago

4 0

You got it right. The median divide the oposite side in half
the 1 st statement is true-

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Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equa

Anvisha [2.4K]

Answer:

A point on the ellipsoid is (-4,2,2) or (4,-2,-2)

Step-by-step explanation:

Given equation of ellipsoid f(x,y,z) : $x^2+y^2+4z^2=36$

Parametric equations:

x=-4t-1

y=2t+1

z=8t+3

Finding the gradient of function

$\nabla f(x,y,z)=\\\nabla f(x,y,z)=$

So, The directions vectors=(-4,2,8)

Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line

$\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)$

So, $2x=-4\lambda$

$\Rightarrow x=-2\lambda$

$2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda$

Substitute the value of x , y and z in the ellipsoid equation

$(2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2$

With $\lambda = 2$

x=-2(2)=-4

y=2

z=2

With $\lambda =- 2$

x=-2(-2)=4

y=-2

z=-2

Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)

7 0

3 years ago

Mark all the statements that are true.

Artyom0805 [142]

Answer:

Option A

Option C

Step-by-step explanation:

A relationship is defined as a function if and only if each element of the "domain" set is assigned only one element of the "range" set. That is, there is only one output value y assigned to each input value x.

The relation x = 3 is not a function because there are infinite output values y, assigned to the same input element x.

(3, 2), (3, 5) (3, 9) (3,10000)

Then the option A is true

Option C is also true, the equation of the line shown is

$x = 3$

The rest of the options are false because x = 3 is not a function

3 0

2 years ago

Factor the expression using the GCF. The expression 21m−49n factored using the GCF is...

Roman55 [17]

Answer: 7(3m - 7n)

Step-by-step explanation:

Factor each term then see what value(s) they have in common:

21m - 49n

∧ ∧

3 · 7 · m 7 · 7 · n

Both terms have a 7 in common. What is left over after removing the 7?

21m: 7(3m)

49n: 7(7n)

GCF: 7 Leftovers: 3m and 7n

Factored form of expression is: 7(3m - 7n)

6 0

2 years ago

Read 2 more answers

Write an equation of the line. Express the answer using either the general form or the slope-intercept form of the equation of

Georgia [21]

Answer:

y = x - 4

Step-by-step explanation:

The standard equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the slope

Using the coordinate points (4, 0) and (0, -4)

m = -4-0/0-4

m = -4/-4

m = 1

Since the line cuts the y axis at y = -4, the y-intercept b = -4

Get the equation;

Since y = mx+b

y = 1x + (-4)

y = x - 4

This gives the required equation

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2 years ago

What does a quadrilateral with sides that are not equal look like

Nata [24]

Try that but straighter

3 0

3 years ago