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3 years ago

What is the slope of the line that passes through the points (-4,-4) and (9,4)

Mathematics

2 answers:

max2010maxim [7]3 years ago

5 0

Answer:

8/13

Step-by-step explanation:

(−4,−4);(9,4)

(x1,y1)=(−4,−4)

(x2,y2)=(9,4)

Use the slope formula:

y2−y1

x2−x1

4−−4

9−−4

nlexa [21]3 years ago

5 0

Answer: 8/13

Step-by-step explanation:

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

$m = \frac{4 -(-4) }{9-(-4) }$

$m = \frac{4 +4 }{9+4 }= m = \frac{8}{13 }$

Slope is 8/13

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Please please please need help on 3 and 4 I’m really lost on them

Alex73 [517]

Answer:

1) Option c) is correct ie., 5 real and o non-real

2) Option b) is correct ie., (4, $\frac{1}{2}$ , $\frac{1}{2}$ , 2,2)

Step-by-step explanation:

Given polynomial function is $f(x)=x^5-3x^3-2$

To find zeros equate f(x) to zero ie., $f(x)=0$

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

By synthetic division

| 1 0 -3 0 -2

-1 | 0 -1 1 2 2

|_________________

1 -1 -2 2 0

Therefore x=-1 is a zero

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

| 1 -1 -2 2

1 | 0 1 0 2

|___________________

1 0 -2 0

x=1 is the zero

$x^2 -2 =0$

$x=\pm\sqrt{2}$

$x=\sqrt{2}$ and

$x=\sqrt{-2}$

Option c) is correct ie., 5 real and o non-real

2) Given polynomial function is $f(x)=(x-4)(2x-1)^2(x-2)^2$

To find zeros equate f(x) to zero ie., $f(x)=0$

$(x-4)(2x-1)^2(x-2)^2=0$

$(x-4)=0$ (or) $(2x-1)^2=0$ or $(x-2)^2=0$

Therefore x=4, $x=\frac{1}{2}$ of multiplicity of 2 and x=2 multiplicity of 2

Option b) is correct ie., (4, $\frac{1}{2}$ , $\frac{1}{2}$ , 2,2)

5 0

3 years ago

Help!!! Huge milestone!! I will give crown!!! The value of y is directly proportional to the value of x. If y=8 when x=10, what

PolarNik [594]

Answer:30

Step-by-step explanation:the initial statement is

y ∝ x

to convert to an equation multiply by k the constant

of variation

⇒ y = k x

to find k use the given condition

y = − 24 when x = 8 y = k x ⇒ k = y x = −22

∣

∣22 y = − 3 x 22

∣∣∣

−−−−−−−−−−−−−−

when x = 10

then y = − 3 × 10 = −30

6 0

3 years ago

Solve for y. triangle PQR is congruent to triangle DEF, PQ= 15, QR= 10, RP=8, and EF = 6y +4

lubasha [3.4K]

Congruent means that they are identical
looking at the order of the letters in the triangles EF are the last 2 and QR are the last 2
so EF should equal QR

we are told QR = 10 so EF needs to equal 10
so we have 6y+4 = 10

now solve for Y

6y +4 = 10
subtract 4 from each side:
6y = 6
divide each side by 6
y = 1

7 0

3 years ago

A full year membership to a gym costs $325 upfront with no monthly charge. A monthly membership costs $100 upfront and $30 per m

kykrilka [37]

Its cheaper to pay for a full year. a monthly charge will cost u 100$ upfront and 12 months at 30$ per month is 360 all together coming to 460

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3 years ago

sosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the me

pogonyaev

The measure of ? is 36, because if the perimeter of the triangle is 96 and there are 3 sides subtract the base length of 24 from 96 getting you 72 and divide 72 by 2 getting you 36 because there are 2 other sides that are the same length.

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3 years ago