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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

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Sam runs 2 miles in 16 minutes. If Sam runs at the same rate, how far can he run in 64 minutes?
Pie

Answer:

8 miles

Step-by-step explanation:

Since

16 x 4 = 64

Therefore

2 x 4 = 8

8 miles

5 0
3 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0
3 years ago
Multiply: 0.27055 · 1,000
photoshop1234 [79]

0.27055*1,000=

270.55

-Hunter

4 0
3 years ago
Read 2 more answers
Which statement is true for the equation 5n − 4 = 5n − 3?
Andrew [12]
It has one solution that is the answer
5 0
3 years ago
Read 2 more answers
Can anyone give me the answer and how to do it
Gelneren [198K]

Answer:

54 - 10y

Step-by-step explanation:

Distribute each of the 3 parenthesis

= 12y + 24 - 32y + 32 - 10y - 2 ← collect like terms

= 54 - 10y

7 0
3 years ago
Read 2 more answers
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