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3 years ago

A line passes through the point (-7,6) and has a slope of -2

2 answers:

7 0

$\bf (\stackrel{x_1}{-7}~,~\stackrel{y_1}{6})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-6=-2[x-(-7)] \implies y-6=-2(x+7) \\\\\\ y-6=-2x-14\implies y=-2x-8$

Aleks [24]3 years ago

6 0

y - 6 = -2(x + 7)

y - 6 = -2x - 14

y = -2x - 8 <---------------------equation in slope intercept form

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2 years ago

The population of bacteria can be modeled by the function below, where t represents the time since the population started decayi

Oksana_A [137]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

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Required

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$b = 0.86$

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2 years ago

ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.

Delicious77 [7]

Answer:

The value of x is 7 and value of y is 45

Step-by-step explanation:

In ΔXYZ

∠X = 50°, ∠Y=30°

To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)

So,∠X + ∠Y + ∠Z = 180°

So,50°+30°+ ∠Z = 180°

∠Z=180°-80°

∠Z=100°

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So, ∠Z= ∠D

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3 years ago

Suppose that y is inversely proportional to square root of x.

FromTheMoon [43]

Answer:

i) k = 36.8

ii)y = 36.8/square root of x

iii)y = 1.4

Step-by-step explanation:

If y is inversely proportional to square root of x;

then the two variables are related by,

y = k/ square root of x

i)Value of k when...x = 8 and y = 13,

substitute into the equation above..so as to find the value of k

13 = k/square root of 8

;k = 13 × square root of 8

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ii)Then substitute the value of k with...36.8

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2 years ago