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2 years ago

In the diagram, line p is parallel to line q.

Mathematics

1 answer:

laila [671]2 years ago

6 0

Answer:

2x-11=73

2x=73+11

2x=84

x=84/2

x=42

again,

y=48

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5|x3 - 21 + 7 when x = -2.

Tomtit [17]

Answer:

-422

Step-by-step explanation:

51[-2]³ - 21 + 7

51[-8] - 14

-408 - 14 = -422

I am joyous to assist you anytime.

6 0

3 years ago

What is the perimeter of this quadrilateral? (5,5) (2, 4) (4, 1) (6, 1)

lbvjy [14]

$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}$

$BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}$

$DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89$

8 0

2 years ago

If f(x) = 2x - 9, which of the following are correct?

matrenka [14]

F(-1) = -11
f(0) = -9
f(3) = -3

3 0

3 years ago

The discriminant of a quadratic equation is equal to -8, which statement describes the roots?

Maslowich

Answer:

(a) There are two complex roots

Step-by-step explanation:

The discriminant of a quadratic function describes the nature of its roots:

negative: two complex roots
zero: one real root (multiplicity 2)
positive: two distinct real roots.

Your discriminant of -8 is negative, so it indicates ...

There are two complex roots

_____

Additional comment

We generally study polynomials with real coefficients. These will never have an odd number of complex roots. Their complex roots always come in conjugate pairs.

6 0

2 years ago

Solve the system of equations by the substitution method: 4x-y = 35 7x + 6y = 38

Leokris [45]

Answer:

x=8 and y=−3

8 0

2 years ago