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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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What 4 coins equal 90¢
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Answer:

half dollar, quarter, dime and nickel

Step-by-step explanation:

When you sum it up it will give you 90 cents.

3 0
4 years ago
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Which function is the inverse of f(x) = –5x – 4?
makvit [3.9K]
Y = -5x - 4
switch x and y and solve for y
x = -5y - 4
x+4 = -5y
(x+4)/ -5 = y^-1 ( the inverse)

4 0
4 years ago
Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx + b. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points into it. Then, simplify to find the slope, or m:

m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula y-y_1=m(x-x_1) and substitute values for m, x_1, and y_1. From there, we can convert the equation into slope-intercept form.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

y-3=1(x-0)\\y-3 = x\\y = x + 3

8 0
3 years ago
Calen is comparing the prices per child for hosting a birthday at Mr. Bob’s Buffet and Sally’s Pizza Safari.
madreJ [45]

The cost per child per child is $10 more at Mr Bob's buffet than it is at Sally's pizza safari.

Answer: Option 3.

<u>Explanation:</u>

According to the data and the information that has been given in the question, the cost of four children for this birthday party at Mr Bob is $60. But the cost of hosting a birthday party at Mr Sally is $50 which is the cost of four children.

So this tells us that the cost of hosting a birthday party is expensive at Mr Bob when compared to the cost of hosting a party at Mr Sally. It is $10 more than Mr Sally.

5 0
3 years ago
The expression 1/2bh gives the area of a triangle with a base length of b and a height of h.
alexandr402 [8]
I think the answer is B
8 0
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