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bogdanovich [222]
3 years ago
15

Jamie has a collection of 78 nickels, dimes, and quarters worth $12.40. If the number of quarters is

Mathematics
1 answer:
vekshin13 years ago
3 0
Sorry idkis it 34.55? I’m slow-
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The isosceles triangle shown has a base of 4 y + 2 and a perimeter of 6 y + 12 .  Which expression represents the length of 1 o
liberstina [14]

Answer:

The expression that represents the length of 1 of the triangle's legs is y + 5

Step-by-step explanation:

An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by

P = l + l + b

i.e P = 2l + b

From the question, P = 6y + 12 and b = 4y +2

∴ 6y + 12 = 2l + 4y + 2

6y - 4y + 12 - 2 = 2l

2y + 10 = 2l

∴ 2l = 2y + 10

Then,

l = (2y+10)/2

l = y + 5

Hence, the expression that represents the length of 1 of the triangle's legs is y + 5  

4 0
3 years ago
Find the quotient of these Complex Numbers. <br><br><br> (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
Help it’s #8 it’s due by 12
nignag [31]

Answer:

I think it can be 12 and -6

Step-by-step explanation:

The sum has to be equal to 6

12+ -6= 6

Also, the two integers have opposite signs as asked in the question

5 0
3 years ago
The degree of the polynomial below .
Stella [2.4K]

Answer:

C: 9

Step-by-step explanation:

The highest power in the polynomial is 9.

3 0
3 years ago
There are 17 students in the art club. Each student purchases 6 paintbrushes at $3 per brush. How much did the art club members
zaharov [31]

Answer:

$306

17 (6×3)

17 (18)

306

4 0
3 years ago
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