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MArishka [77]
3 years ago
10

Solve for x x squared plus 4X minus 21 equals 0

Mathematics
2 answers:
iren2701 [21]3 years ago
7 0

Answer:

x = 3\\x = -7

Step-by-step explanation:

We have the following quadratic equation

x^2 + 4x - 21 =0

To solve the equation we must factor it.

To factor the equation we must find 2 numbers b and c that when adding them, you obtain as result 4 (c + b = 4) and when multiplying them, you obtain as result -21 (c * b = -21).

Then the polynomial will be factored in the following way:

(x+c)(x + b) = 0

You can verify that the numbers that meet this condition are:b = 7\\c = -3

So

x^2 + 4x - 21 =(x-3)(x + 7)=0

Finally the solutions are:

x = 3\\x = -7

suter [353]3 years ago
3 0

Answer:

x = -7 and x = 3

Step-by-step explanation:

x² + 4x - 21 = 0 factors as follows:  (x + 7)(x - 3) = 0.

Then x = -7 and x = 3.

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kati45 [8]
No the product will be less than 9/10.
This can be easily seen if the fractions are converted into decimals.
The decimal form of the product of 7/8 and 9/10 is 0.867 while the decimal form of 9/10 is 0.9. Therefore, the product of 7/8 and 9/10 is not greater than 9/10
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Samantha bought 10 identical shirts for $25. If she bought 25 of those same shirts, how much will she pay?
tatiyna

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72.50

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A survey was conducted to study the relationship between the annual income of a family and the amount of money the family spends
lisov135 [29]

Answer:

The correct option is d i.e. scatter plot

Step-by-step explanation:

The correct option is d i.e. scatter plot

scatter plot will be the best option to display the variation of expenditure with respect to annual income.

on one axis annual income is used and on the other expenditure of the family. hence for a particular change in annual income, an impact on expenditure will easily be predicted.

6 0
3 years ago
Three of the following steps are used in writing a mixed number as an improper fraction. Which step does NOT belong?
QveST [7]
I don't see the steps, but the steps that I use are:
1. Multiply the denominator by the whole number 
2. Then you add the numerator to your sum.
3. The number that you just got by doing those steps is now going to be your numerator and your old denominator is going to stay your denominator.

Example:

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8/3 is your new answer.
 
3 0
3 years ago
Points are: A= (-2,7)B= (3,5)C= (1,0) To show that the triangle is a right triangle, show that the sum of the squares of the len
Gala2k [10]

The sum of the squares of the lengths is 58

The square of length of the hypotenuse is 58

From the question, we have

AB² = (-2-3)² +(7-5)²= 25+4 =29

BC² = (3-1)²+(5-0)²=4+25=29

AC² = (-2-1)²+(7-0)² = 9+49 = 58

Here we can see that,

AB²+BC² = AC²

The sum of the squares of the lengths of two sides (the legs) equals the square length of the third side (hypotenuse).

the sum of the squares of the lengths = AB²+BC² =29+29 = 58

the square of length of the hypotenuse= 58

Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

To learn more about pythagoras theorem visit: brainly.com/question/343682

#SPJ9

5 0
1 year ago
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