Alejandra states that ax+ b= a(x+ c), given a, b, and c are not equal to 0. What must be the value of c for Alejandra's statement to be true? (Hint: Solve for c.)

Answer:

[tex]m = - \frac{1}{4} [/tex]

[tex]c = 2 \frac{3}{4} [/tex]

Step-by-step explanation:

Let's start by finding the point of intersection of the lines x -2y= -1 and y= 2.

x -2y= -1 -----(1)

y= 2 -----(2)

Substitute (2) into (1):

x -2(2)= -1

x -4= -1

x= 4 -1

x= 3

Thus, the point of intersection is (3, 2).

y= 4x +8

Slope= 4

The product of the slopes of perpendicular lines is -1.

4m= -1

m= -¼

y= -¼x +c

Since the line passes through (3, 2), we can substitute this coordinates into the equation to find the value of c.

When x= 3, y= 2,

[tex]2 = - \frac{1}{4} (3) + c[/tex]

[tex]c = 2 + \frac{3}{4} [/tex]

[tex]c = 2 \frac{3}{4} [/tex]

Answer in the picture.

Answer:

140

Step-by-step explanation:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140.

20, 40, 60, 80, 100, 120, 140.

14 x 10 = 140

20 x 7 = 140

Answer:

When volcanoes erupt they can spew hot, dangerous gases, ash, lava and rock that can cause disastrous loss of life and property, especially in heavily populated areas. Volcanic activities and wildfires affected 6.2 million people and caused nearly 2400 deaths between 1998-2017.

Step-by-step explanation:

❤❤❤

Answer:

40

Step-by-step explanation:

8 x 5 - 40

4 x 10 - 40

Answer:

12.7 or 12 7/10

Step-by-step explanation:

4 3/5 = 4.6 (decimal form)

3 3/5 = 3.6 (decimal form)

4.6 + 3.6 + 4.5 = 12.7

12.7 = 12 7/10 (as a fraction)

Have a great day!

Graph the line using the slope and y-intercept, or two points.

Slope= -5

y- intercept= (0,2)

The answer has two points (0,2) and (1,-3) place them and then make a line going left through them.

Answer:

61

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees.

180-58=122

122/2=61

We divide by two because we are missing the other two angles but they are both equal.

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

y = - 2x + 5 ← is in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes , then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, 2 ) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = - 2x - 4 ← equation of parallel line

----------------------------------------------------------

(b)

y = 3x + 4 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (3, 2 ) into the partial equation

2 = - 1 + c ⇒ c = 2 + 1 = 3

y = - [tex]\frac{1}{3}[/tex] x + 3 ← equation of perpendicular line

Answer:

1 feet=12inches

now,

48inches/12inches=......feet

=4feet

Answer:9x-10=2x+1

Step-by-step explanation: i think.

Answer:

$42.25

Step-by-step explanation:

List price = $65.00

Discount = 35% .

Hence the new price is (100-35)% = 65% of original price .

=> price = $ 65 * 65/100

=> price = $42.25

Answer:

BRAINLIEST BRAINLIEST

PLEASE ANDWER QUICKLY

Answer:

Sorry, it doesn't show a picture if you tried to put one.

Answer:

One solution

Step-by-step explanation:

(2.5,0)

Answer:

e

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

1 hour - 60 min

so fraction is 33/60

= 11/20

answer is C

common sense i guess...

Answer:

[tex]\frac{5}{3}[/tex] or [tex]1\frac{2}{3}[/tex] cups of milk

Step-by-step explanation:

So if you have the ratio of 6 cups of flour to 2 cups of milk you can make this the fraction: [tex]\frac{6}{2}[/tex] and then for the 5 cups of flour to 'x' cups of milk the fraction would be: [tex]\frac{5}{x}[/tex]

To solve for 'x', let the 2 fractions equal each other and cross multiply.

[tex]\frac{6}{2} = \frac{5}{x}[/tex]

[tex]x = \frac{2*5}{6} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}[/tex]

So you would need [tex]\frac{5}{3}[/tex] or 1 and [tex]\frac{2}{3}[/tex] cups of milk for 5 cups of flour.

Answer:

[tex]y=55\\x=108[/tex]

Step-by-step explanation:

We know that the total angle sum of the quadrilateral internal angles is 360° since we are working with a quadrilateral polygon.

So when finding the interior angles we set up the equation  of

[tex]125+y=180\\72+x=180[/tex]

Subtract 180 by 125 and 72 to find y and x

[tex]y=55\\x=108[/tex]

Answer: Hope this is right... 10a+3b

Step-by-step explanation:

6a+3a+(1)a= 10a

8b-5b= 3b

10a+3b

Answer:

The answer is 2 1/8 I just made a 100% have a great day

Step-by-step explanation:Hope it helped (:

The time it will take them to finish the journey is 2.6 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

It is measured in meter/sec(SI unit). it can also be measured in other units.

Speed is expressed as;

speed = distance /time

distance = 37.7 miles

speed = 14.5 miles per hour

time = distance /speed

= 37.7/14.5

= 2.6 hours.

Therefore it will take them 2.6 hours to finish the journey.

learn more about speed from

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Answer:

I don't know the question you have, can you state it please so I can help you?

Answer:

x>-12

Step-by-step explanation: you have the equation -2x+12 <36

so what do you do first?

you would subtract 36 on both sides like this: -2x+12-36 <-36

then you get -2x < 24

divide both sides by -2  like this : -2/-2x<24/-2

and since your dividing by -2 on both sides

the sign would be less then sign instend of a greater then

so the answer is x>-12

Hope it helped (..

Answer:

a) 7 * 10^ 11

b) 7 * 10^ 3

c) (7 * (10 ^ 6)) + (7* 10^ 0)

The numbers as powers of 10 are a) 7×10¹¹ b) 7×10³ c) 7 ×10⁶ +7

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

Given here the numbers

a)700,000,000,000=7×10¹¹

b)7000=7×10³

c)7,000,007=7 ×10⁶ +7

Hence, these are the answers expressed in powers of 10.

Learn more about exponents here:

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Answer:

He would have to $3.17 in taxes

Step-by-step explanation:

Answer:

(y^2+1)(x^2+1)=k

Step-by-step explanation:

It looks like it is possibly separatable.

Let's try.

Factor the x out on first term and factor the y out on second term:

x(y^2+1)dx+y(x^2+1)dy=0

Subtracting y(x^2+1)dy on both sides:

x(y^2+1)dx=-y(x^2+1)dy

Divide both sides by (y^2+1)(x^2+1):

x/(x^+2+1)dx=-y/(y^2+1)dy

Integrate both sides..

Use substitution u=x^2+1 and v=y^2+1...so du= 2x dx and dv=2y dy.

.5du/u=-.5dv/v

.5ln|u|=-.5ln|v|+c

Multiply both sides by 2:

ln|u|=-ln|v|+c

Plug in our substitutions :

ln|x^2+1|=-ln|y^2+1|+c

Absolute values unnecessary since insides are positive always.... also -ln(y^2+1)=ln(1/(y^2+1))

e^ on both sides:

x^2+1=k(1/y^2+1)

(y^2+1)(x^2+1)=k

Answer:

Step-by-step explanation:

5/8 belongs to Rational Numbers and All real numbers

Answer:

f(x)    3x      10

Step-by-step explanation:

x = the number

the function = Three time a number plus 10.

f(x) = 3x + 10

Answer:

it's 300=8 hours per hour

Step-by-step explanation:

533=9=5=8 you have to jump two times till u get 8