solve
3x-11x-20=0.





.​

[tex]\begin{cases} (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,8) \end{cases} \\ m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]m = \frac{8 - 4}{2 - ( - 3)} \\ m = \frac{4}{2 + 3} \Longrightarrow \frac{4}{5} [/tex]

We have got the value of slope. Substitute in the slope-intercept form.

[tex]y = mx + b \\ \sf{m = slope}\\ \sf{b = y - intercept}[/tex]

Substitute and Rewrite the equation.

[tex]y = \frac{4}{5} x + b[/tex]

I will substitute (2,8) in.

[tex]y = \frac{4}{5} x + b \Longrightarrow \sf \small{Substitute \: \: the \: \: coordinate \: \: points \: \: in \: \: the \: \: equation}[/tex]

[tex]8 = \frac{4}{5} (2) + b \\ 8 = \frac{8}{5} + b \\ 40 = 8 + 5b \\ 40 - 8 = 5b \\ 32 = 5b \\ \frac{32}{5} = b[/tex]

Rewrite the equation by substituting the value of b.

[tex]y = \frac{4}{5} x + \frac{32}{5} [/tex]

[tex] \large \boxed{y = \frac{4}{5} x + \frac{32}{5} }[/tex]

Answer:

The coordinates of the midpoint are;

(-6.5, -3)

Step-by-step explanation:

Here, we want to get the midpoint of the line segment

To get this, we use the midpoint formula;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

Thus;

(x,y) = (8 - 21)/2, (-10 + 4)/2

(x,y) = -13/2 , -6/2

(x,y) = (-6.5 , -3)

Answer:

A. 6 cm

Step-by-step explanation:

A P E X

Answer:

6

Step-by-step explanation:

Answer:

[tex]\frac{8}{25}[/tex] which is 0.32 in decimal form

Answer:

280

Step-by-step explanation:

divide 11760 by 42 and you get 280 which shows they traveled 280 kilometers in 1 day

Answer:

11.07

Step-by-step explanation:

6^2+9.3^2=122.49

now the square root of 122.49 is  11.067

round this up to 11.07

[tex]\huge\mathrm{\underline{\underline{Answer}}}[/tex]

Ans:-The sum is ₹30,000

Answer:

y=3x

Step-by-step explanation:

The line is going up so it is y=3x  

P.S. I hope you don't mind my horrible drawing skills XD

Answer:

Find the value and the area, of x and y.

To find the x- and y-intercepts of the graph of the function:

y

=

f

(

x

)

=

√

x

2

−

16

x

−

intercept:

y

=

0

:

y

=

f

(

x

)

=

√

x

2

−

16

=

0

x

2

−

16

=

0

x

2

=

16

x

=

±

4

y

−

intercept:

x

=

0

:

⟹

y

=

f

(

0

)

=

√

0

−

16

=

0

⟹

y

=

√

−

16

=

(imaginary quantity)

Hence, there is no intercept on  

y

−

axis

Thus, only the  

x

−

intercepts:

x

=

−

4

,

4

Answer:

where is radius and height.without it it is impossible.

Answer:

I will eat anything that is dipped in chocolate

Step-by-step explanation:

Answer:

v>2/3

Step-by-step explanation:

2(4−1)<2(3v+1)

Step 1: Simplify both sides of the inequality.

6<6v+2

Step 2: Flip the equation.

6v+2>6

Step 3: Subtract 2 from both sides.

6v+2−2>6−2

6v>4

Step 4: Divide both sides by 6.

6v/6>4/6

v>2/3

Answer:

v>2/3

Step-by-step explanation:

Switch sides: 2(3v+1)>2(4-1)

Ope the brackets and multiply

6v+2)>2*3

Subtract 2 on both sides

6v>6-2

6v>4

v>4/6

v>2/3

Answer:

X²-2X-15

Step-by-step explanation:

Answer:

Solving |-7-1| we get 8

Step-by-step explanation:

We need to solve |-7-1|

Absolute value is non-negative number even the number has negative sign.

So, |a| = a or |-a|=a

So, solving |-7-1|

=|-8|

=8

So, Solving |-7-1| we get 8

Answer:

The sixth term is -3,072

Step-by-step explanation:

Here, we want to get the 6th term

From the question, the first term is -12

the common ratio would be -12/3 = -4

So the sixth term will be;

ar^5

= 3 * (-4)^5 = -3072

Answer:

12.5

Step-by-step explanation:

10/80 is 0.125

move the decimal twice to the right

12.5%

Answer:

12.5%

Step-by-step explanation:

Divide 10/80 = 0.125 --> 12.5%

Answer:

$5

Step-by-step explanation:

We are given that  profit equation

[tex]P(x)=-2x^2+20x+0[/tex]

Where x=Charges per pair of mittens

We have to find the charge per pair of mittens to make her max profit.

Differentiate equation w.r.t x

[tex]\frac{dP}{dx}=-4x+20[/tex]

[tex]\frac{dP}{dx}=0[/tex]

[tex]-4x+20=0[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

Again differentiate w.r.t x

[tex]\frac{d^2P}{dx^2}=-4<0[/tex]

Hence, the profit is maximum at x=5

Lily should charge $5 per pair of mittens to make her max profit .

Answer:

b

Step-by-step explanation:

Answer:

x < -0

Step-by-step explanation:

Note that y is increasing on the interval (-3, 0).  We could generalize this to:

x < -0 (Answer C)

Answer:

C

Step-by-step explanation:

I just did it and I got c for sum reason

Answer: 16 secs

Step-by-step explanation:

80/5=16

It will take the diver 16 seconds to do so

Answer:

X=1 because 2+5=7 then X=1 cause 1*2=2

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

[tex]\sqrt{2x+5} =7\\ 2x+5=49\\2x=44\\x=22[/tex]

Answer:

.........the answer is 3)

Answer:

6

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

2x-3 > 2x-5/2

⇒2x-3/1=2x-5/2

⇒(2x-3)×2=(2x-5)×1

4x-6=2x-5

⇒2x-1>0

⇒2x>1

⇒x>1/2

Answer:

[tex]2x - 3 > \frac{2x - 5}{2} \\ 2(2x - 3) > 2x - 5 \\ 4x - 6 > 2x - 5 \\ 4x - 2x > 6 - 5 \\ 2x >1 \\ \boxed{x > \frac{1}{2} }[/tex]

Answer:

Not a triangle

Step-by-step explanation:

In order for a shape to qualify as a triangle, the interior angles must add up to 180°

These angles only add up to 56°, therefore it is not a triangle.

Answer:

obtuse

Step-by-step explanation:

You have an isosceles triangle. 2 of the sides are equal in length. Since, the third side is longer than than the other 2, it will form an obtuse angle. If the third side was shorter, you would have all acute angles.

Answer:

this is answer

Step-by-step explanation:

Right now I don't have time. If u have doubt, send me a message. And I'll explain later.

hope it helps ☺️

Answer:

2

Step-by-step explanation:

Given:

Perimeter of a square = [tex]32x-12.8[/tex]

To find:

The side length of the square.

Solution:

We know that, the perimeter of the square is 4 times of its side length.

[tex]P=4a[/tex]

Where, a is the side length.

Perimeter of a square = [tex]32x-12.8[/tex]

Now,

[tex]4a=32x-12.8[/tex]

Divide both sides by 4.

[tex]a=\dfrac{32x-12.8}{4}[/tex]

[tex]a=\dfrac{32x}{4}-\dfrac{12.8}{4}[/tex]

[tex]a=8x-3.2[/tex]

Therefore, the side length of the square is [tex]8x-3.2[/tex] units.