A system of linear equations is given by these equations 3y-2x=-9 y=-2x+5 The solution to this system is

Answer:

See below.

Step-by-step explanation:

(-3,1) and (-1,5)

The formula for finding slope is (y²- y¹)/(x²- x¹).

(5-1)/(-1-(-3))

(4)/(2)

2

The slope would be 2.

-hope it helps

Hi! I hope you're enjoying your day!

Use the Slope formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\bold{\displaystyle\frac{5-1}{-1-(-3)}}[/tex]

[tex]\bold{\displaystyle\frac{4}{-1+3} =\frac{4}{2} =2}[/tex]

Hence, the slope is

[tex]\boxed{\boxed{\bold{2}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{250}{2}[/tex]

Answer: Faith's printing account balance will become $-1.90, or $1.90 below 0.

Step-by-step explanation:

Each sheet of paper can print 4 pages. Since it is 47 pages long, she will need 12 pages. That will cost 3 dollars, since 0.25x12=3. 1.10-3=-1.90 dollars, which means that she is $1.90 in debt.

Answer:

34

Step-by-step explanation:

$575-$150= $425

So $425 is how much she needs bc she already gets $150 each week so subtract it from the $575. then do

$425/$12.50=(hours)34) so she needs to work 34 hours this week to get 575$

Answer:

Answer(s): (2,0,-4,-5)

log12 144 =  2

log15 1 = 0

log3 (  1/ 81  )  = -4

log 0.00001 =  -5

The values of the expression are,

1. 2

2. 0

3. -4

4. -5

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given that;

We have to use the property as;

aᵇ = x then

b = logₐx

So, we get;

log₁₂ 144 = a

12ᵃ = 144

12ᵃ = 12²

On comparing the base

= 2

Now,  second is,

log₁₅ 1 = a

15ᵃ = 1

a = 0

Now, log₃ (1/81)

3ᵃ = 1/81

3ᵃ = 3⁻⁴

a = - 4

And, log 0.00001

= log (10)⁻⁵

= -5 log 10

= -5

Learn more about Logarithm here:

brainly.com/question/30085872

#SPJ7

[tex]49 = \frac{x}{7} [/tex]

Multiply both sides of the equation by 7

[tex]49 \times 7 = \frac{x}{ \cancel7} \times \cancel7[/tex]

[tex]343 = x[/tex]

[tex]x = 343[/tex]

[tex]\green{ \rule{300pt}{3pt}}[/tex]

Answer: Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

−

1

)

Rewrite in vertex form and use this form to find the vertex

(

h

,

k

)

.

(

1

,

−

1

)

Step-by-step explanation:

Answer:

895.53 gallons per hour

Step-by-step explanation:

rate of change in water level (r) = totals gallons divided by number of hours to drain

r = 10567.2/11.8

r = 895.53 gallons per hour

Given parameters:

 The coordinates are:

                 P1 (8, -4) and P2 (-3, 9)

Unknown:

The midpoint of the endpoints = ?

Solution:

     x₁  =  8

     y₁  = -4

     x₂  = -3

     y₂  = 9

  midpoints;     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2} ,[/tex] [tex]\frac{y_{1} + y_{2} }{2}[/tex]

                                       = [tex]\frac{8 +(-3)}{2}[/tex] , [tex]\frac{-4 + 9}{2}[/tex]

                                       = [tex]\frac{5}{2}[/tex] , [tex]\frac{5}{2}[/tex]

   The coordinate of the x-axis is [tex]\frac{5}{2}[/tex]

Answer: B. (2,0) and ([tex]-\frac{1}{2}[/tex], 0)

Step-by-step explanation: Try drawing a graph of it to see where the curve intersects the x-axis, or simplify it to [tex]x^2-3x-2=0[/tex], and solve for the x values.

Step-by-step explanation:

please mark me as brainlest

This is the Answer to this question  

Answer:

4 dollars

Step-by-step explanation:

Answer:

4.10$

Step-by-step explanation:

Hey there!

A = ½ (a + b) h,

⇒ A = ½(8+16)14

⇒ A = ½(24)14

⇒ A = (12)(14)

⇒ A = 168

Therefore, Area of trapezoid is 168 sq. un

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=14\\ a=16\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{14(16+8)}{2}\implies A=\cfrac{14(24)}{2} \\\\\\ A=7(24)\implies A=168 \end{array}[/tex]

Answer:

6.4

Step-by-step explanation:

divide 4 by 30 in order to find out how many miles she can run in a minute. I got 0.13333333 and multiplied that by 48, which got me 6.4 as the answer but I'd double check.

Answer:

6.4 millas.

Step-by-step explanation:

es una simple regla de tres:

4 es a 30

x es a 48

x es igual a 48*4/30

x es igual a 6.4

Since both angles will be a part of triangle, and the third angle would be 90° as, the vertices meet at an centre of diagonal, hence they bisect each other.

7x-12 +(10x+5) = 90°

==> 17x -7= 90°

==> 17x = 97°

==> x = 97°/17

==> x = 5.70° (approx)

Answer:

Step-by-step explanation:

Answer: [tex]1.47*10^4[/tex]

[tex]8.3*10^{-4}[/tex]

[tex]7.6*10^8[/tex]

[tex]3.8*10^{-2}[/tex]

[tex]3.8*10^{-1}[/tex]

[tex]3.8*10^0[/tex]

[tex]3.8*10^{12}[/tex]

[tex]9.0*10^{-10}[/tex]

Step-by-step explanation:

Scientific notation is a way of expressing numbers that are too large or too small.

To figure out the power of 10, think "how many places do I move the decimal point?"

1. When the number is 10 or greater, the decimal point has to move to the left, and the power of 10 is positive.

2. When the number is smaller than 1, the decimal point has to move to the right, so the power of 10 is negative.

Answer:

Step-by-step explanation:

a.  (1.7 + 4.2)²   =     34.81      =  3.76

         2.1³                9.261

b.  (672 - 134)²    = 289,444     =   13,102.94

          4.7²                 22.090

Answer: A protractor The measure is 120

Explanation: Line up the vertex of the angle with the dot at the center of the protractor. Line up one side of the angle with 0 degrees on the protractor. Read the protractor to see where the other side of the angle crosses the number scale. (Hopes this helps!)

♧ So, after 3 years = x+81 +3

♧ now grouping the variables and constants together we get,

♧ Thus, Victor's present age is 24 yrs.

Hope it helps ya ~

Answer:

Victor's age = 24 years old

Step-by-step explanation:

Let age of Mr. Smith = x and age of Victor = y.

According to the question, we can find two equations.

=> 1) x = y + 81

=> 2) x + 3 = 4(y + 3)

Substituting value of x in (1) to (2)

y + 81 + 3 = 4y + 12

3y = 72

y = 24

Victor's age = 24 years old

Answer:

10.53 ft.²

Step-by-step explanation:

Area of a rectangle: length x width

length: 3.9

width: 2.7

3.9 x 2.7 = 10.53

Answer:

8.4

Step-by-step explanation:

(7/8) (4) = 3.5

(1/10) (8) = 0.8

3.5 × 0.8 × 3 = 8.4

Hope this helps.

Answer:

Step-by-step explanation:

if 1l = 100cl

1l×1/100cl×4=1l /400cl

Step-by-step explanation:

14x + 5 = 12

14x = 12 - 5

14x = 7

x = 7/14

x = 1/2