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3 years ago

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

y +5 = -5(x +6)
y = -5x -35

Step-by-step explanation:

For a line with slope m through point (h, k), the point-slope form of the equation is ...

y -k = m(x -h)

For your point and slope, the line is ...

y +5 = -5(x +6)

Adding -5 and simplifying puts this in slope-intercept form.

y = -5x -30 -5

y = -5x -35

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Which of the following are solutions to the equation below?

sladkih [1.3K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

Step-by-step explanation:

considering the equation

$2x^2\:-\:4x\:-\:3\:=\:x$

solving

$2x^2\:-\:4x\:-\:3\:=\:x$

$2x^2-4x-3-x=x-x$

$2x^2-5x-3=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

solving

$x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5+\sqrt{49}}{2\cdot \:2}$

$x=\frac{5+7}{4}$

$x=3$

also solving

$x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5-\sqrt{49}}{4}$

$x=-\frac{2}{4}$

$x=-\frac{1}{2}$

Therefore,

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

7 0

3 years ago

The concession stand is selling hot dogs and hamburgers during a game. At

MAVERICK [17]

Answer:

44 hotdogs

30 hamburgers

Step-by-step explanation:

b r a i n and p a p e r

7 0

3 years ago

Help me with this please! Can you please answer it today? I really don't want to wait...

rjkz [21]

Answer:

60 degrees

Step-by-step explanation:

sum of angles at a point = 360

there are 6 angles so

360/6= 60

6 0

3 years ago

Read 2 more answers

What is the true solution to 3 In 2+In 8 = 2 In(4x)?<br> O x=1<br> O x=2<br> O x=4<br> Ox=8

Novosadov [1.4K]

Answer:

x=1

Step-by-step explanation:

if x don't have a number next to it it =1

8 0

3 years ago

Jason watched a caterpillar move 16 feet in 8 minutes. Jason says that the caterpillar's unit rate is 0.5 foot per minute. Is Ja

MrRa [10]

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

$rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}$

3 0

3 years ago