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4 years ago

How to add and subtract mixed fractions

Mathematics

2 answers:

Kazeer [188]4 years ago

5 0

Find the Least Common Denominator (LCD)

Find the equivalent fractions.

Add or subtract the fractions and add or subtract the whole numbers.

Write your answer in lowest terms.

Naddik [55]4 years ago

3 0

Step 1 Find the least common denominator
Step 2 Find the equivalent fractions
Step 3 Add or subtract the whole numbers
Step 4 write your answer in lowest terms

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5. What is the equation of the tangent line to the circle x^2+y^2=1 through the point (6,0)?

notka56 [123]

Answer:

There is no tangent line of the given circle at (6, 0).

Step-by-step explanation:

Given equation of the circle,

$x^2 + y^2 = 1$

∵ equation of a circle is $(x-h)^2 +(y-k)^2 = r^2$ ,

Where, (h, k) is the center of the circle and r is the radius,

By comparing,

Center of the given circle = (0, 0),

Radius of the circle = 1 unit

Now, check whether point (6, 0) lie on the circle,

if x = 6, $6^2 + y^2 = 1$

$36 + y^2 = 1$

$y^2 = 1- 36$

$y= i\sqrt{35}\neq 0$

i.e., (6, 0) does not lie on the circle,

Hence, there is no tangent line of the given circle at (6, 0).

3 0

3 years ago

Solve x2 - 8x - 9 = 0.<br><br> Rewrite the equation so that it is of the form <br> x2 + bx = c.

stira [4]

X^2 - 8x-9=0
D = b^2- 4*a*c = 64- 4* (-9) = 64+36=100 =10^2
X1 = (8-10)/2 = -1
X2= (8+10)/2= 9

7 0

4 years ago

a pair of socks costs $5.00. a package of 3 pairs costs $12.00. how much would you save if you buy 2 packages instead of 6 indiv

svp [43]

you will save 6 dollars If you buy 2 packages, instead if 6 individual pairs.

7 0

3 years ago

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?

tatuchka [14]

Answer:

The best estimate for the average rate of change is $-2$

Step-by-step explanation:

we know that

the average rate of change using the graph is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

$f(a)=f(0)=0$

$f(b)=f(4)=-8$

$a=0$

$b=4$

Substitute

$\frac{-8-0}{4-0}=-2$

4 0

3 years ago

Read 2 more answers

Lets see who is smart lol

Simora [160]

9514 1404 393

Answer:

$\square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Cross-multiplying gives ...

2(y -5) = x -2

2y -10 = x -2 . . . eliminate parentheses

2y = x +8 . . . . . . . add 10; next, divide by 2

$\boxed{y=\dfrac{1}{2}x+4}$

These equations match choices B and D.

6 0

3 years ago