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2 years ago

Find the slope given the coordinate points.

Mathematics

2 answers:

Sonbull [250]2 years ago

7 0

I think it’s 13 over -160

romanna [79]2 years ago

6 0

5 / 16

m = rise/run = y2 - y1 / x2 - x1

m = 2-7 / (-4) - 12 = -5 / -16

m = 5 / 16

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Find the equation of a line that passes through the point (-2,3) and has a gradient of 3.

nadya68 [22]

Answer:

y = 3x+9

Step-by-step explanation:

The standard form of equation of a line is in the form y = mx + c

m is the gradient

c is the y intercept

Get the y-intercept

Substitute m = 3 and the point (-2, 3) into the formula y = mx+c

3 = 3(-2) + c

3 = -6+c

c = 3+6

c = 9

Get the required equation;

y = 3x + 9

Hence the required equation is y = 3x+9

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2 years ago

Solve 5^3x+1 = 4^x-5 for x

tensa zangetsu [6.8K]

For the equation $5^{3x+1}=4^{x-5}$ take the $\log$ from both sides:

$\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.$

Find x:

$3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.$

Answer: correct choice is D

7 0

2 years ago

Read 2 more answers

Fawn ran a 5-kilometer race in 66 minutes. To the nearest hundredth, what was her speed in meters per second?

klio [65]

5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

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3 years ago

A sweatshirt is on sale for Black Friday and is 60% off of its it's original price of 60$. How much is the sweatshirt?

Ierofanga [76]

Answer:

$36

Step-by-step explanation:

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3 years ago

Expressed as a product of its prime factors in index form, a number N is

Elena-2011 [213]

<u>ANSWER</u>

$5N^2=3^{2} \times 5^{5} \times x^{6}$

<u>EXPLANATION</u>

$N=3\times5^2 \times x^3$ .

$5N^2=5(3\times5^2 \times x^3)^2$

Recall this property of exponents;

$(a^m)^2=a^{m} \times a^m$

So our product becomes;

$5N^2=5(3\times5^2 \times x^3) \times (3\times5^2 \times x^3)$

$5N^2=5\times 3\times 3 \times 5^2 \times 5^2 \times x^3 \times x^3$

$5N^2=3\times 3\times 5 \times 5^2 \times 5^2 \times x^3 \times x^3$

Recall this law of exponents:

$a^m \times a^n =a ^{m+n}$

$5N^2=3^{1+1} \times 5^{1+2+2} \times x^{3+3}$

$5N^2=3^{2} \times 5^{5} \times x^{6}$

7 0

3 years ago