All categories

3 years ago

Solve the system of equations by substitution. Simplify your answer. Write the

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

x = 5 y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

You might be interested in

Which list of angle measures could be the angle measures of a triangle?

Dovator [93]

Hello there! So the answer would be D: 35 degrees, 60 degrees and 85 degrees. We know this because angles in a triangle sum to 180 degrees. By simply adding each angle up, we can confirm that 35 + 60 + 85 = 180. :)

8 0

3 years ago

Write an equation that models the sequence 400, 200, 100, 50, ...

grandymaker [24]

The sequence is probably ×2

4 0

3 years ago

pavit has a clock with a minute hand that extends to the clock's edge. The minute hand is 5 inches long. What is the circumferen

Eddi Din [679]

Answer:

The circumference of the clock is $10\pi\ in$

Step-by-step explanation:

we know that

The circumference of a circle (clock) is equal to

$C=2\pi r$

In this problem

The long of the minute hand is the radius of the circle

$r=5\ in$

substitute

$C=2\pi (5)=10\pi\ in$ -----> exact value of the circumference

7 0

3 years ago

Write a polynomial functionſ of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 1,3, and

otez555 [7]

Answer:

f(x) = $x^{4} - 8x^{3} + 24x^{2} - 32x + 15$

Step-by-step explanation:

First of all, if 2 - i is a zero, then so is 2 + i

All you need to do now is multiply (x - 1)(x - 3)(x - 2 + i)(x - 2 - i)

I will do part of that multiplication

(x - 2 + i)(x - 2 - i) = $x^{2}$ - 2x - xi - 2x + 4 + 2i + xi - 2i - $i^{2}$

= $x^{2}$ - 4x + 5

So, now (x - 1)(x - 3)( $x^{2}$ - 4x + 5) = $x^{4} - 8x^{3} + 24x^{2} - 32x + 15$

I will let you finish that multiplication. I did some and you can do some. OK?

8 0

3 years ago

Help please and show the steps

Phantasy [73]

9514 1404 393

Answer:

4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

(2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

r(cos(θ) +i·sin(θ)) or r·cis(θ) or r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

7 0

3 years ago