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3 years ago

Isosceles triangle ABC is shown below. What is the value of x?

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

Answer:

Where is the triangle shown below?

Step-by-step explanation:

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consider the following.find formula simplify answer .Find the domain for the formula and round answer to two decimal places if n

Elanso [62]

The sum of functions is given as:

$(f+g)(x)=f(x)+g(x)$

In this case we have:

$(f+g)(x)=5x+\sqrt[]{x-1}$

The domain of the functions is any number that makes the squared root a real number, then:

$\begin{gathered} x-1\ge0 \\ x\ge1 \end{gathered}$

Hence the domain of the functions is:

$\lbrack1,\infty)$

5 0

1 year ago

If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle?

kondaur [170]

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

Solution:

The endpoints of the diameter of a circle are (–8, –6) and (–4, –14).

Center of the circle = Mid point of the diameter

Mid point formula:

$$P(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, $x_1=-8, y_1=-6, x_2=-4, y_2=-14$

$$P(x, y) =\left(\frac{-8-4}{2}, \frac{-6-14}{2}\right)$

$$P(x, y) =\left(\frac{-12}{2}, \frac{-20}{2}\right)$

$$P(x, y) =(-6, -10)$

Center of the circle = (–6, –10)

Radius is the distance between center and any endpoint of the diameter.

To calculate the radius using distance formula.

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Here, $x_1=-6, y_1=-10, x_2=-8, y_2=-6$

$r=\sqrt{\left(-8-(-6)\right)^{2}+\left(-6-(-10)}\right)^{2}}$

$r=\sqrt{(-8+6)^{2}+(-6+10)^{2}}$

$r=\sqrt{(-2)^{2}+(4)^{2}}$

$r=\sqrt{20}$ units

The standard form of the equation of a circle is

$(x-a)^{2}+(y-b)^{2}=r^{2}$ , where (a, b) are center and r is the radius.

Here, center = (–6, –10) and $r=\sqrt{20}$

$(x-(-6))^{2}+(y-(-10))^{2}={(\sqrt{20})} ^{2}$

$(x+6)^{2}+(y+10)^{2}=20$

Equation of the circle is $(x+6)^{2}+(y+10)^{2}=20$ .

4 0

3 years ago

Using approciate properties find -4/7*3/5+4/7*-1/5+2/5*-4/5

slega [8]

Answer: 0.548

Step-by-step explanation:

First you need to remember the formula for PEMDAS(Parenthesis,exponents,multiplication,divison,addition,subtractio)

you can do either multiplication or divison whichever comes first, same with addition+subtraction.

the underlined means to simplify

1.-0.57x3/5+4/7x-1/5+2/5x-4/5

2.-1.71/5+4/7x-1/5+2/5x-4/5

3.-0.342+4/7x-1/5+2/5x-4/5

4.-0.342+0.57x-1/5+2/5x-4/5

5.-0.342+0.57x-0.2+2/5x-4/5

6.-0.342+0.114+2/5x-4/5

7.-0.342+0.114+0.4x-4/5

8.-0.342+0.114+-1.6/5

9.-0.342+0.114+-0.32

10.-0.228+-0.32=-0.548

i did this all in one go so......

8 0

3 years ago

Question 1 (1 point)

Naily [24]

Answer:

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3

Point P( -1, -3)

8 0

3 years ago

What is volume? Give an example of an object that has volume

Gnom [1K]

Volume is a measure if the amount of space occupied by that object, and every 3D shapes have volume. To find volume, you need three dimensions which are length, width, and height :D

4 0

3 years ago