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Vlada [557]
4 years ago
9

Whats (-4,2), y=1/2x+b

Mathematics
1 answer:
Serggg [28]4 years ago
8 0

Answer:

Step-by-step explanation:

(-4,2), y=1/2x+b

x = -4 and y = 2 putting them in the equation y=1/2x+b

2 = 1/2×(-4) + b

2 = -2 + b

b = 2+2

b = 4

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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  \\

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3 years ago
The quotient of a number and 3 less than twice the number
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"The quotient of a number and 3 less than twice the number" would translate to the expression x/(2x-3)

Basically we have x up top the fraction and 2x-3 in the bottom denominator of the fraction. The slash / means divide
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3 years ago
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