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son4ous [18]
3 years ago
10

3. Find two numbers whose product is -6 and whose sum is 1.

Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

-2, 3

Step-by-step explanation:

yeah that's it I don't have any explanation or formula

Naddika [18.5K]3 years ago
3 0

let the numbers be x and y

xy = -6

x + y = 1

from x + y = 1

y = 1 - x

x(1 - x) = -6

x - x² + 6 = 0

-x² + x + 6 = 0

on solving,

x = -2 or x = 3

y = 1 - (-2) = 3

y = 1 - 3 = -2

x1 = -2, y1 = 3.

x2 = 3, y2 = -2.

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3. What are the intersection points of the line whose equation is y=3x +3 and the
densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

                                   → (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = \frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}

x = \frac{-7\pm \sqrt{169}}{10}

x = \frac{-7\pm13}{10}

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0
3 years ago
A 25 ft. ladder resting against the side of a building forms a right triangle with the ground. The bottom of the ladder is 7 ft.
ruslelena [56]

Answer:

The correct answer is 24

Step-by-step explanation:

to solve this you will need to use the pathagreom theorum

a^{2}+b^{2}=c^{2}

A= one side lenth

B= the secons side lenth

C= hypotnuse

It is helpfull to draw out the situation

you know that the latter is 25 ft, that is your hypotnuse

you also know that the 7 ft away from the base of the building is one of the side lenths, lets call it side a

so plug the numbers into the equation

7^2 + b^2 = 25 ^2

you leave b^2 alone because that is the side you are trying to find

now square 7 and 25 but leave b^2 alone

49 + b^2 = 625

now subtract 49 from both sides

b^2 = 576

now to get rid of the square of b you have to do the opposite and square root both sides removing the square of the B and giving you the answer of..........

B= 24

Hope this helped!! I tryed to explain it as simpil as possiable

6 0
2 years ago
Read 2 more answers
What did I do wrong so I don’t do it again on the test
denpristay [2]

Answer:

nothing

Step-by-step explanation:

all of them seem to be right. if you need practice work on alternate interior angles, exterior angles

8 0
2 years ago
For f(x)=2x+1 and g(x)=x^2-7 find (f•g)(x)
skad [1K]
(f•g)(x) = (2x+1) (<span>x^2-7)
</span>(f•g)(x) = 2x^3 + x^2- 14x  - 7

............................................

8 0
3 years ago
Solve equations: 3|x+4|=6<br><br> | = absolute value
Anestetic [448]

Absolute values are a way of finding a distant from zero, which means there will be 2 answers; one will be positive, and the other will be negative.

|<em>3x - 4</em>| = 5<em>and</em> |3<em>x - 4</em> = a^5 Because you need 2 answers, you have to make 5 positive and negative.

Another way to write this equation would be...

5=|3x-4|=—5

Now lets continue...

5=3x-4=—5

Add 4 to both sides...

9=3x=—1

Now divide by 3...

3=x= -1/3

So the solution is...

X={-1/3  3}

7 0
3 years ago
Read 2 more answers
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