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damaskus [11]
3 years ago
5

What is the solution to the system of equations

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello

I believe there is an error in the question

we have two equations and need to find x and y

(1) \dfrac{1}{4}x+\dfrac{1}{2}y=\dfrac{5}{8}\\(2) \dfrac{3}{4}x-\dfrac{1}{2}y=3\dfrac{3}{8}

let s multiply by 8 so that we can get rid of the fractions

(1) becomes 2x+4y=5

(2) becomse 6x-4y=9

if we sum it gives

2x+4y+6x-4y=9+5

8x=14

x = 14/8 = 7/4

and then from the first equation

4y = 5 - 7/4

<=> 16y = 20-7 = 13

y = 13/16

the solutions is (7/4,13/16)

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Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.
Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

\frac{sinA}{a}=\frac{sinB}{b}

\frac{sin30}{4}=\frac{sinB}{6}

sinB=0.75

angle B = 48.6

Another angle will be

angle B' = 180-48.6 = 131.4

considering angle B, angle C = 180 - (48.6+30)=101.4

considering angle B', angle C' = 180-(131.4+30)=18.6

\frac{sinA}{a}=\frac{sinC}{c}

\frac{sin30}{4}=\frac{sin101.4}{c}

c = 7.84

Similarly, finding c'

\frac{sinA}{a}=\frac{sinC'}{c'}

\frac{sin30}{4}=\frac{sin18.6}{c'}

c'=2.55

Hence two triangles are possible with below details:  :   Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0
3 years ago
Can someone correct me I’m kinda bad at this plz I beg u
-Dominant- [34]

Answer:

First one-3

Second one-0

Last one-12

Step-by-step explanation:

7 0
3 years ago
Find the solution to the following system of linear
mrs_skeptik [129]

Step-by-step explanation:

y = 4x - 4 \\ x + y = 11 \\ x + 4x - 4 = 11 \\ 5x = 15 \\ x = 3 \\ y = 4 \times 3 - 4 \\ y = 8

8 0
3 years ago
N is a positive intiger. Explain why 2n+1 must be an odd number.​
pogonyaev

Answer:

Because the number would be multiplied by an even number, which is 2. If the number (odd or even) is multiplied by two, then the result would be an <em>even number</em>.

Proof:

2(1) = 2

2(6) = 12

2(7) = 14

2(3) = 6

The number would then be added by an odd number, which is 1. If an even number is added with an odd number, then the result would be an odd number.

Proof:

2 + 1 = 3

12 + 1 = 13

14 + 1 = 15

6 + 1 = 7

6 0
4 years ago
I bought a TV. the screen is 52 inches wide and 29 inches high. find the length of its diagonal.​
Crank

Answer:

*3545*

Step-by-step explanation:

52 square + 29 square = 3545

then square root 3545 = 59.539 ( round it if you want)

6 0
3 years ago
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