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2 years ago

Use the following figure to answer the question.

Mathematics

1 answer:

wolverine [178]2 years ago

3 0

Answer:

true

Step-by-step explanation:

because angle 1 and 2 can only be equal if the lines are parallel

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Determine the greatest intergral value of K for which 2x^2 - Kx +2 =0 will have non-real roots ...Use quadratic inequalities to

Mrac [35]

Answer:

Greatest integral value of K = 3.

Step-by-step explanation:

The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac. For non-real roots this is negative.

2x^2 - kx + 9 = 0

The discriminant = (-k)^2 - 4*2*2 , so:

k^2 - 16 < 0 for non-real roots.

k^2 < 16

k < √16

k < 4

So the answer is 3.

The greatest integral value is 8.

6 0

3 years ago

John is making baked goods for a party. He can either make muffins or bread, and he can use blueberries, bananas, apples, or cho

Margarita [4]

The total number of possible choices that John had for making baked goods for the party is 8.

<h3>What is Combination?</h3>

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

$^nC_r = \dfrac{n!}{r!(n-r)!}$

where,

n is the number of choices available,

r is the choices to be made.

We know that the number of choices with John for his baked goods is only two which are muffins or bread, therefore, the choices of the baked good can be written as $^2C_1$ .

Also, the number of choices with John for flavors is four which are blueberries, bananas, apples, or chocolate chips, therefore, the choices of the flavor can be written as $^4C_1$ .

Now, the total possible choices that John had

= The choices of the baked good x The choices of the flavor

$=\ ^2C_1 \times ^4C_1\\\\=\ 8$

Hence, the total number of possible choices that John had for making baked goods for the party is 8.

Learn more about Combination:

brainly.com/question/11732255

8 0

2 years ago

If the circumference is 34.54 units what is the radius

irinina [24]

<span>5.497211734394065. radius confirmed!</span>

7 0

3 years ago

Find the y-intercept of the line on the graph.

balandron [24]

The y intercept is - 1

It is where the line touches or crosses the y axis

3 0

3 years ago

(x+3)^2 = x^2-3(1-x)

Oxana [17]

(x+3)(x+3) = x^2 -3 + 3x
x^2 + 3x + 3x + 9 = x^2 + 3x - 3
x^2 + 6x + 9 = x^2 + 3x - 3
6x + 9 = 3x - 3
3x + 9 = -3
3x = -12
x = -4

Check:
(-4+3)^2 = (-4)^2 - 3(1+4)
(-1)^2 = 16 - 3(5)
1 = 16-15
1 = 1 :)

7 0

3 years ago