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2 years ago

What theorem can be used to prove these

Mathematics

1 answer:

VladimirAG [237]2 years ago

5 0

Answer:

hl is right answer may be

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What are the solutions to the expression 4x2+11x−3

lina2011 [118]

Step-by-step explanation:

4x² + 11x - 3 = 0

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

x = 1/4, -3

6 0

2 years ago

Read 2 more answers

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

3 years ago

2. Kelsea needs a test average of at least 90 to get an "A-" this marking period in math. Her three test grades

Luda [366]

Answer:

Equation: 87 + 91 + 86 + x = 360

Solution: 264 + x = 360

x = 360 - 264

x = 96

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

First three Kelsea's test grades : 87, 91 and 86

2. What score must she get on her fourth test to receive at least an A- ?

Define variable: x that represents the grade needed by Kelsea on her fourth test to receive at least an A-

Equation: 87 + 91 + 86 + x = 360

Solution: 264 + x = 360

x = 360 - 264

x = 96

Now you can understand if the previous work you did is correct

6 0

3 years ago

help The screen in a theatre is 22 ft high and is positioned 10 ft above the floor, which is flat. The first row of seats is 7 f

Stella [2.4K]

(a.)
Let's say α is the angle that subtends from the top of the screen to horizontal eye-level.
Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.

tanα = (22 + 10 - 4) / x = 28/x
α = arctan(28/x)

tanβ = (10 - 4) / x = 6/x
β = arctan(6/x)

Ɵ = α - β
Ɵ = arctan(28/x) - arctan(6/x)

(b.)
tanƟ = tan(α - β) = (tanα - tanβ) / (1 + tanα tanβ)
tanƟ = (28/x - 6/x) / [1 + (28/x)(6/x)]
tanƟ = (22/x) / [1 + (168/x²)]
tanƟ = 22x / (x² + 168)
Ɵ = arctan[22x / (x² + 168)]

4 0

3 years ago

In expression 5y-2xy+6+7x what is the coefficient of x

katrin2010 [14]

7. A coefficient is a number or constant placed before the variable in an algebraic expression (e.g., 6 in 5y).

4 0

3 years ago