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postnew [5]
3 years ago
8

Solve the system of equations using substitution 2x-3y=-1 X=y+1

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

Substitute x = y + 1 into 2x - 3y = -1

2 - y = -1

Solve for y in 2 - y = -1

y = 3

Substitute y = 3 into x = y + 1

x = 4

Therefore,

<u>x = 4</u>

<u>y = 3</u>

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What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
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Step-by-step explanation:

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In JKL, k=4.1 cm,j=3.8 cm and angle J=Q3^ Find all possible values of angle K , to the nearest inch of a degree .
spayn [35]

Answer:

74.0°

Step-by-step explanation:

In triangle JKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of angle K, to the  nearest 10th of a degree

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

Given a triangle with angles A, B, C and the corresponding sides opposite to the angles as a, b, c. Sine rule states that for the triangle, the following holds:

\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}

In triangle JKL, k=4.1 cm, j=3.8 cm and angle J=63°.

Using sine rule, we can find ∠K:

\frac{k}{sin(K)}=\frac{j}{sin(J)}   \\\\\frac{4.1}{sin(K)}=\frac{3.8}{sin(63)}  \\\\sin(K)=\frac{4.1*sin(63)}{3.8}\\\\sin(K)=0.9613\\\\K=sin^{-1} (0.9613)\\\\K=74.0^o  \\

6 0
3 years ago
Which is the graph of y = ⌊x⌋ – 2?
Aneli [31]
<h2>Answer:</h2>

The graph is given in the attached image

8 0
3 years ago
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