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Firlakuza [10]
3 years ago
10

Y’all give me dis answer to

Mathematics
1 answer:
Leto [7]3 years ago
6 0

Answer:

The solution is: (1,-3)

Step-by-step explanation:

Given equations are:

x-y=4     Eqn 1

4x+y = 1     Eqn 2

Substitution involves finding value of a variable from one equation and putting in other equation

From equation 1

x = y + 4

Putting in equation 2

4(y+4) + y = 1\\4y+16+y = 1\\5y = 1-16\\5y = -15\\\frac{5y}{5} = \frac{-15}{5}\\y = -3

Putting y = -3 in equation 1

x- (-3) = 4\\x + 3 = 4\\x = 4-3\\x = 1

Hence,

The solution is: (1,-3)

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The Pythagorean theorem is a2+b2=c2. Solve for b.
nata0808 [166]

Answer:

b = √c²-a²

Step-by-step explanation:

b² = c² - a²

b = √c²-a²

3 0
3 years ago
Angie mixes 7 2/3 pints fruit juice and 3 1/4 pint sprite to make punch far a party. she has 6 pints left at the end of the part
lana66690 [7]

Answer:

16 11/12

Step-by-step explanation:

7 2/3 + 3 1/4 =

7 8/12 + 3 3/12 =

10 11/12 + 6

16 11/12

5 0
2 years ago
Find the sum of the interior angle measures of the green polygon,
Radda [10]

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

Sum\ of\ interior\ angles = (n-2)*180

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

Sum = (7-2)*180 = 5*180 = 900

Hence,

The sum of interior angles of given polygon is 900°

7 0
3 years ago
Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
3 years ago
A bulletin board is 23 square feet. What is the approximate perimeter of the bulletin board? And wants to have an area of 32 squ
miskamm [114]

Answer: The answer to the first question is 20

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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