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PtichkaEL [24]
3 years ago
6

Write each quadratic expression in standard form. Draw a diagram if needed. (x+4)(x-1)

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

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Read 2 more answers
If tan x =3/4, and 0
jasenka [17]

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract  

x

from inside the tangent.

x

=

arctan

(

3

4

)

Evaluate  

arctan

(

3

4

)

.

x

=

0.6435011

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from  

π

to find the solution in the fourth quadrant.

x

=

(

3.14159265

)

+

0.6435011

Simplify the expression to find the second solution.

Tap for more steps...

x

=

3.78509376

Find the period.

Tap for more steps...

π

The period of the  

tan

(

x

)

function is  

π

so values will repeat every  

π

radians in both directions.

x

=

0.6435011

+

π

n

,

3.78509376

+

π

n

, for any integer  

n

Consolidate the answers.

x

=

0.6435011

+

π

n

, for any integer  

n

6 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
amm1812
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169

9^2 + 12^2 = 15^2
81 + 144 = 225
225 = 225

<span>a^2 + b^2 is = to c^2</span>
8 0
3 years ago
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