From the slope (m) and the y-intercept (b), write the equation of the line : m = 2; b = 3

Mathematics

1 answer:

Anika [276]3 years ago

6 0

Answer:

y= 2x + 3

Step-by-step explanation:

y = mx +b

Plugin the m and the b we have

y=2x + 3

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Round your answer to the nearest hundredth BC=?

miskamm [114]

Answer:

BC = 1.71

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse in a right triangle

α = 70°

a: adjacent = BC

h: hypotenuse = 5

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

we look at which meets those data between the sine, cosine and tangent

is the cosine

cos α = a/h

Now we replace the values and solve

cos 70 = a/5

0.34202 = a/5

0.34202 * 5 = a

1.7101 = a

round to the neares hundredth

a = 1.7101 = 1.71

BC = 1.71

7 0

3 years ago

98-x2=0 solve this with the quadratic formula

Mars2501 [29]

Answer:

x∈{-7√2, 7√2}

Step-by-step explanation:

$98-x^2=0\\\\-x^2+98=0\\\\a=-1\,,\ \ b=0\,,\ \ c=98\\\\x_1=\dfrac{-0-\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{-\sqrt{4\cdot49\cdot2}}{-2}=\dfrac{-2\cdot7\sqrt{2}}{-2}=7\sqrt2\\\\x_2=\dfrac{-0+\sqrt{0^2-4\cdot(-1)\cdot98}}{2\cdot(-1)}=\dfrac{2\cdot7\sqrt{2}}{-2}=-7\sqrt2$