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2 years ago

What number can you use to simplify 5 and 15?

Mathematics

1 answer:

pshichka [43]2 years ago

7 0

Answer:

You can use 5 to simplify 5 and 15, giving you 1 and 3

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What is the slope of the line perpendicular to the line with equation 4x-5y+13=0

motikmotik

Answer:

m = - 5/4

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1

We can write the equation

4*x - 5*y + 13 = 0

as: 5*y = 4*x + 13 or

y = (4/5)*x + 13 (1)

Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is

-5/4

4 0

3 years ago

Find the quotient of these Complex Numbers. (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

Thus, the given complex number in standard form as "1 - i".

5 0

3 years ago

Simplify the expression: –3(9 − x) =

steposvetlana [31]

Answer:

Expand $-3(9-x): -27 + 3x$

Step-by-step explanation:

$-3(9-x)$

Apply the distributive law: $a(b-c)=ab-ac$

$a = -3, b=9, c=x$

$=-3*9-(-3)x$

Apply minus - plus rules:

$-(-a)=a$

$= -3*9+3x$

Multiply the numbers: $3 * 9 = 27$

$=-27+3x$

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

6 0

3 years ago

FREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POINTSSSSSSSSFREEEEEEE POI

monitta

Answer:

OMG THANK YOU SO MUCH I NEEDED THIS SO MUCH FOR MY MATH TEST!!!!

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Solve for x 6-12x = -54

kvasek [131]

Answer:

The answer of the question is 5

8 0

3 years ago