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2 years ago

Which of the following is equal to the rational expression when x does not equal 3 or -10? (x+5)(x-3)/(x-3)(x+10)

1 answer:

7 0

For an expression to have a rational equivalent when solved, the denominator should not be equal to 0. If the denominator is equal to zero, the expression becomes indefinite or undetermined. This is the reason for the restriction of the use of x being equal to 3 or -10.

In the given above, we can see that the expression x-3 appears both in the numerator and denominator. Hence, this can be cancelled. We are then left with the expression,
(x + 5) / (x + 10)

Therefore, the answer to this item is letter C.

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Please answer this correctly

Ksivusya [100]

Answer:

17 teaspoons

Step-by-step explanation:

1 tbs : 3 tsp

$5 \frac{2}{3} = \frac{17}{3} \\ \frac{17}{3} tbs \: = 3( \frac{17}{3} )tsp \\ \frac{17}{3} tbs = 17tsp$

Always start by converting mixed numbers into fractions;

multiply the whole number part by the denominator (under part) of the fraction part and add this to the numerator (upper part);

Then simply apply the ratio.

8 0

3 years ago

Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.

borishaifa [10]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as $4\div 2 =2$ . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, 5, 10.

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 45 = 1, 3, 5, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

5 0

3 years ago

Write a linear equation in standard form that crosses (4, -3) and (-2, 9):

kirill115 [55]

Slope =(9+3)/(-2-4) = 12/-6 = -2
Y+3 = -2 (×-4) => y=-2×+5
D is the line asked
Slope: -1/3
D: y-6 = -1/3 (×-3) or y= -1/3× + 7

8 0

2 years ago

What are the two missing sides of the triangle ??

igor_vitrenko [27]

Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.

Givens
a = x
b = x + 4
c = 20

Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2

Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0

Use the quadratic formula
a = 1
b = 4
c = - 2

$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} 
$
$\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} + 4(1)(2) } }{2} 
$

From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.

x1 = + 0.4495
x2 = x + 4 = 4.4495

6 0

3 years ago

If the measure angle 1=40, what is the measure angle of 3? A. 80 b. 40 c. 10 d. 100

iren2701 [21]

D. 100 is the answer

5 0

2 years ago