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WINSTONCH [101]
2 years ago
15

What is the solution set of the equation x²+3x-4=6

Mathematics
1 answer:
likoan [24]2 years ago
8 0

Answer:

x=2

x=-5

Step-by-step explanation:

1

Move terms to the left side

2

Subtract the numbers

3

Use the sum-product pattern

4

Factor

5

Create two separate equations

6

Solve

You might be interested in
If mZA= 78°, what is the mZB?
Andrei [34K]

Answer:

possible answers below!

Step-by-step explanation:

if they are vertical angles then the measure of ZB is 78

if they are supplementary then ZB is 102 degrees

if they are complementary then ZB is 12 degrees

It depends on where its located, cant really help if i dont have a pic..but i hope this helps!   :)

4 0
3 years ago
The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 6
Andre45 [30]

Answer:

the rate at which the height of the box is decreasing is -0.0593 cm/s

Step-by-step explanation:

Given the data in the question;

Constant Volume of a rectangular box with a square base = 500 cm³

area of the base increases at a rate of 6 cm²/sec

so change in the area of the base with respect to time dA/dt = 6 cm²/sec

each side of the base is 15 cm long

so Area of the base = 15 cm × 15 cm = 225 cm²

the rate at which the height of the box is decreasing = ?

Now,

V = Ah

dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0

⇒ dh/dt = -hdA/dt / A

we substitute

dh/dt = [ -( 500 / 225 ) × 6 ] / 225

dh/dt = [ -(2.22222 × 6)  ] / 225

dh/dt = [ -13.3333 ] / 225

dh/dt = -0.0593 cm/s

Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s

7 0
2 years ago
My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits
kakasveta [241]
If the number only has 2 digits, it could only be 91, because since the tens digit is 8 more than the ones digit, the tens digit is greater than or equal to 8. it cannot be 10 or more, because that would make the number over 100, leaving only 8 and 9. If the tens digit is 8, the ones digit is zero, and since it cannot be zero, then the tens digit must be 9, leaving the ones digit to be 1. So, the final answer is 91.
5 0
3 years ago
Read 2 more answers
A=(v+w)(k-x), for x <br><br> I would appreciate it if you included the steps for solving it too!!!!
Anna71 [15]

Step-by-step explanation:

a=(v+w)(k-x)

(k - x) =  \frac{a}{(v  + w)}

x = k -  \frac{a}{v + w}

x =  \frac{kv + kw - a}{v + w}

5 0
2 years ago
If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?
Fynjy0 [20]
Yes, they are similar. The definition of similar triangles is two triangles that have congruent angles. All angles of a triangle must add up to 180. So, if you take the angles that you already have and add them up (17 plus 17 = 34), Then there is only one option of what the last angle is. To find the last angle you take 180 and subtract 34 which would give you 146.
7 0
3 years ago
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