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3 years ago

Write an equation of the line passing through the point (-6,-7)with slope=4.

2 answers:

6 0

The slope is 4, therefore
m = 4
The line passes through the point
(x₁,y₁) = (-6,-7)

Use the following formula to define the equation
y - y₁ = m(x - x₁)

Plug ini the numbers
y - (-7) = 4(x - (-6))
y + 7 = 4(x + 6)
y + 7 = 4x + 24
y = 4x + 17
<em>This is the equation</em>

MAVERICK [17]3 years ago

5 0

And how would I do that via computer? If this is homework, do it your self, it's not that hard. Draw it and scan it (man computer doesn't have the ability to scan things)

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Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

Q and R are not mutually exclusive events. p (q) = 3/5 p(r) = 1/3 and p ( q and r)= 1/5 find P(Q or R).

V125BC [204]

Recall the inclusion/exclusion principle:

$\mathbb P(Q\cup R)=\mathbb P(Q)+\mathbb P(R)-\mathbb P(Q\cap R)$

which means

$\mathbb P(Q\text{ or }R)=\dfrac35+\dfrac13-\dfrac15=\dfrac{11}{15}$

5 0

3 years ago

What are the rational roots of the polynomial f(x) = 20x^4 + x^3 +8x^2 + x-12

Natali5045456 [20]

Answer:

x = 3/4 and x = -4/5

Step-by-step explanation:

20x⁴ + x³ + 8x² + x − 12

Group:

(20x⁴ + 8x² − 12) + (x³ + x)

Factor:

4 (5x⁴ + 2x² − 3) + x (x² + 1)

4 (5x² − 3) (x² + 1) + x (x² + 1)

(x² + 1) (4 (5x² − 3) + x)

(x² + 1) (20x² + x − 12)

(x² + 1) (4x − 3) (5x + 4)

So the rational roots are x = 3/4 and x = -4/5.

5 0

3 years ago

35% of the students on a field trip love the zoo. If there are students on the field trip, how many love the zoo?

kenny6666 [7]

Your question is missing an important value. That is the number of people on this trip. So we assume that 250 people are on this trip.

Answer:

88 persons

Step-by-step explanation:

Be cause your question does not have the total number of people on this trip, I assumed that the number of people should be 250.

Now we are to find 35% of 250.

This would give the total number of people they enjoyed the trip

0.35 x 250

= 87.5

approximately 88 persons

So we say that 88 persons loved the zoo.

To trick is to find 35% of whatever number of people are on this field trip.

8 0

3 years ago

Giving away big points

Elden [556K]

Answer:

1st option. (x, y). The x - coordinate comes first and describes the horizontal (right and left) plane. The y - coordinate describes vertical (up, down) movement.

Step-by-step explanation:

i did test on edg.

7 0

3 years ago

Read 2 more answers