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worty [1.4K]
3 years ago
11

Solve this equation using an algebraic method: (x + 4)( x - 4) = 9

Mathematics
2 answers:
Mila [183]3 years ago
8 0
(x+4)(x-4)=9  carry out multiplications on left side

x^2-16=9  add 16 to both sides

x^2=25  take the square root of both sides

x=√25

x=±5

So there are two solutions x=-5 and 5
Svetradugi [14.3K]3 years ago
3 0
This is the answer that i was going to upload :
the answer is +5(or)-5 because  of root

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PLEASE HELP<br> (look at pictures)
Vladimir [108]
<h2>Answer:</h2>

This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,

1.  

Reason: Given  

Statement: \angle1\cong\angle2

2.  

Reason: Def of vertical \angle s

Statement: \angle1\:and\:\angle3 \ are \ vertical

3.  

Reason: Def of vertical \angle s

Statement: \angle1\cong\angle3  

4.

Reason: Transitive Property

Statement: \angle2\cong\angle3

5.  

Reason: corresponding Angles Converse Postulate

Statement: p\parallel q

6 0
3 years ago
Determine the intercepts of the line 2x+5y=-6?
SVETLANKA909090 [29]

Answer:

The x intercept is (-3,0)

The y intercept is (0,-6/5)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

2x+5y=-6

2x+0 = -6

Divide by 2

2x/2 = -6/2

x = -3

The x intercept is (-3,0)

To find the y intercept, set x =0 and solve for y

2x+5y=-6

0+5y = -6

Divide by 5

5y/5 = -6/5

y = -6/5

The y intercept is (0,-6/5)

7 0
3 years ago
Jerry is making 2 kinds of cakes. One needs 18/20 cup of flour and the other needs 3/8. Estimate how much flour he needs
zvonat [6]

bearing in mind that the LCD in this case for those two denominators is 40, so let's use that for the sum

\bf \cfrac{18}{20}+\cfrac{3}{8}\implies \stackrel{\textit{using the LCD of 40}}{\cfrac{(2)18+(5)3}{40}}\implies \cfrac{36+15}{40}\implies \cfrac{51}{40}\implies 1\frac{11}{40}

8 0
4 years ago
What is the slope and y-intercept of 5x + y =6
Vikki [24]

Answer:

y int is 6

the slope is -5

Step-by-step explanation:

you write the equation out to slope intercept form, which is y=-5x+6

-5 is the slope because thats the transformation x goes through

6 is the constant which is the y intercept

7 0
3 years ago
The cost of a square meter to cover a circular pool is $2.50. How much would it cost to cover the area of a pool that has a diam
77julia77 [94]

Answer:multiply 2.50 by 25 I think

Step-by-step explanation:

6 0
3 years ago
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