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3 years ago

What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ?

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Answer:

The equation of the line would be y = -2x + 10

Step-by-step explanation:

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = -2(x - 1)

y - 8 = -2x + 2

y = -2x + 10

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Solve for g.<br> -3+5+6g=11-3g−3+5+6g=11−3g

PtichkaEL [24]

Answer: $\mathrm{No\:Solution}$

Step-by-step explanation:

$\begin{bmatrix}-3+5+6g=1\\ 1-3g+5+6g=11-3g\end{bmatrix}$

$\begin{bmatrix}1-3\left(-\frac{1}{6}\right)+5+6\left(-\frac{1}{6}\right)=11-3\left(-\frac{1}{6}\right)\end{bmatrix}$

$\begin{bmatrix}\frac{11}{2}=\frac{23}{2}\end{bmatrix}$

$\frac{11}{2}=\frac{23}{2}\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}$

4 0

3 years ago

CAN SOMEONE HELP ME PLEASE??? HIIIIII???

DIA [1.3K]

Answer:

a =14.3178211

Step-by-step explanation:

a^2 +B^2=C^2

13^2+6^2=C^2

169+36=C^2

205=C^2

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4 0

3 years ago

Which best describe all possible classifications for the following set of numbers?

borishaifa [10]

Answer:

| and |V only

Step-by-step explanation:

4, 25, and 32 are Counting numbers, while 0 is a whole number B)

5 0

4 years ago

Which number line represents all of the values of x for the equations x^2 =100m

statuscvo [17]

Given

$\begin{gathered} x^2=100 \\ x=10 \\ x=-10 \end{gathered}$

Procedure

3 0

1 year ago

Plz tell me answer and explain how I could get the answer.

Vinil7 [7]

Answer: 349.5 miles

<u>Step-by-step explanation:</u>

Use the formula distance (d) = rate (r) x time (t):

Since there are two different rates and times so solve each one separately and then add them together.

$\large{d_1=r_1\times t_1\quad \rightarrow \quad r=75\ mph, t=150\ minutes}\\\\d_1=\dfrac{75\ miles}{1\ hour}\times \dfrac{1\ hour}{60\ minutes}\times 150\ minutes\\\\d_1=187.5\ miles\\\\\\\large{d_2=r_2\times t_2\quad \rightarrow \quad r=81\ mph, t=2\ hours}\\\\d_2=\dfrac{81\ miles}{1\ hour}\times 2\ hours\\\\d_2=162\ miles\\\\\\\large{\text{Total miles driven = }d_1+d_2}\\\\187.5\ miles +162\ miles = \boxed{349.5\ miles}$

7 0

3 years ago