All categories

3 years ago

Simplify the following expression.

Mathematics

1 answer:

mylen [45]3 years ago

7 0

Answer:

9/14 or 0.6428571

Step-by-step explanation:

You might be interested in

Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

2 years ago

Need help!!! solve for p) n = (p-k) ------ j Sorry for the terrible fraction

almond37 [142]

Answer:

nj +k = p

Step-by-step explanation:

n = (p-k)/j

Multiply each side by j

nj = (p-k)/j *j

nj = p-k

Add k to each side

nj +k p-k+k

nj +k = p

8 0

3 years ago

Read 2 more answers

Is 4y^2 + 9 = -4 a linear equation?

bekas [8.4K]

Answer:

No.

Step-by-step explanation:

The exponent of y is 2, which is not 1, so the equation is 2nd degree, not linear (1st degree).

6 0

4 years ago

Identify the equation of a line in point-slope form that passes through the point (-3,4) with a slope of -2

vova2212 [387]

Answer:

y = -2x - 2

Step-by-step explanation:

y = Mx + c

4 = -2(-3)+ c

4 =6+ c

c = -2

6 0

2 years ago

How do you solve 13+4x=1-x

mel-nik [20]

13+4x=1-x
4x=-12-x (minus 13 from each side)
5x=-12 (add x to each side)
You divide -12 by 5x
-12÷5x=2 $\frac{2}{5}$ ⇒2.4
x=2.4

6 0

3 years ago

Read 2 more answers