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3 years ago

Use the diagram to find the measure of angle 1 and measure of angle 2

Mathematics

1 answer:

Alex Ar [27]3 years ago

7 0

Angle 1 and 2=105°

75+Angle 2=180°
180-75=105=Angle 2
Angle 2=Angle 1

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1.) Find the value of the discriminant and the the number of real solutions of

ruslelena [56]

Hi there!

When we have an equation standard form...
$a {x}^{2} + bx + c = 0$
...the formula of the discriminant is
D = b^2 - 4ac

When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions

1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0

Plug in the values from the equation into the formula of the discriminant

$( - 8) {}^{2} - 4 \times 1 \times 7 = 64 - 28 = 36$

D > 0 and therefore we have two real solutions.

2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0

Again, plug in the values from the equation into the formula of the discriminant.

${4}^{2} - 4 \times 2 \times 2 = 16 - 16 = 0$

D = 0 and therefore we have one real solution.

~ Hope this helps you.

4 0

3 years ago

Read 2 more answers

Determine the rational zeros for the function f(x)=x^3+7x^2+7x-15

alexandr402 [8]

Answer:

1,-3,-5

Step-by-step explanation:

Given:

f(x)=x^3+7x^2+7x-15

Finding all the possible rational zeros of f(x)

p= ±1,±3,±5,±15 (factors of coefficient of last term)

q=±1(factors of coefficient of leading term)

p/q=±1,±3,±5,±15

Now finding the rational zeros using rational root theorem

f(p/q)

f(1)=1+7+7-15

f(-1)= -1 +7-7-15

= -16

f(3)=27+7(9)+21-15

=96

f(-3)= (-3)^3+7(-3)^2+7(-3)-15

= 0

f(5)=5^3+7(5)^2+7(5)-15

=320

f(-5)=(-5)^3+7(-5)^2+7(-5)-15

f(15)=(15)^3+7(15)^2+7(15)-15

=5040

f(-15)=(-15)^3+7(-15)^2+7(-15)-15

=-1920

Hence the rational roots are 1,-3,-5 !

4 0

3 years ago

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Line n has a slope of 1/2. line m is perpendicular to line n. What is the slope of line m

Bezzdna [24]

Answer:

-2

Step-by-step explanation:

Sincwe perpendicular slope are the opposite reciporcal

5 0

3 years ago

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The volume of a cube is 27 cubic inches. What is the length of an edge? Explain.

Lilit [14]

Answer:

Step-by-step explanation:

The formula of a volume of a cube:

$V=a^3$

a - length of an edge

We have V = 27 in³. Substitute:

$a^3=27\to a=\sqrt[3]{27}\\\\a=3\ in$

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3 years ago

How can you convert a fraction to a percent?

weqwewe [10]

Answer:

To convert a fraction to a percent we take the fraction and multiply it by 100

If we want to convert 1/2 to a percent:

1/2 × 100 = 50%

Or we can convert the fraction to a decimal and then multiply it by 100:

1/2 = 0.5 = 0.5 × 100 = 50%

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3 years ago