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3 years ago

What is the equation of the line that passes through the point (1,3) and has a slope of 6

Mathematics

1 answer:

son4ous [18]3 years ago

8 0

Answer:

Y=6x+-3

Step-by-step explanation:

Deltamath

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What is the solution to the equation log(2x + 4) = 2? Round to the nearest thousandth, if necessary.

Kazeer [188]

Answer: 48

Step-by-step explanation:

$log_{b}M=n--> M=b^{n} \\log(2x+4)=2\\b=10, M=2x+4, n= 2 \\\\2x+4=10^{2} \\2x+4=100\\2x=96\\x=48$

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3 years ago

Gabe rides his bike to school. He rides to school going uphill at 11 miles per hour. He rides home from school going downhill 4

Nitella [24]

Answer:

15mph

Step-by-step explanation:

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3 years ago

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Solve for x.

kirill115 [55]

How to get answer:

$Expand -2\left(x+13\right)+9x:\quad 7x-26\\Expand -2\left(x+13\right):\quad -2x-26\\\\=-2x-26+9x\\Simplify -2x-26+9x:\quad 7x-26\\7x-26=4\\\mathrm{Add\:}26\mathrm{\:to\:both\:sides}\\7x-26+26=4+26\\\mathrm{Simplify}\\7x=30\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7x}{7}=\frac{30}{7}\\Simplify\\x=\frac{30}{7}$

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3 years ago

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Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0

antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y: y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

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3 years ago

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Pls I need help with this

LiRa [457]

Answer:

third side = 4

Step-by-step explanation:

third side is hypoenuse as it is opposite to 90 degree.

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotenuse)^2