All categories

2 years ago

Solve the system using substitution. y=6x-11 -2x-3y=-7

Mathematics

2 answers:

Tanzania [10]2 years ago

8 0

26=16x or x=1 5/8 because 6 and 11 are multiplied by 3

lilavasa [31]2 years ago

6 0

-2x - 3(6x - 11) = -7 Plug in the equation
-2x -18x + 33 = -7 Combine like terms
-20x + 33 = -7 Subtract
-20x = -40 Divide
x = 2

Hope this helps!!!

You might be interested in

After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum

Svetlanka [38]

Answer: 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ , where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e. $n\ \alpha\ \dfrac{1}{E^2}$

By the equation inverse variation, we have

$n_1E_1^2=n_2E_2^2$

Given : $E_1=0.05$ $n_1=1000$

$E_2=0.025$

Then, we have

$(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000$

Hence, the sample size will now have to be 4000.

6 0

2 years ago

Who can prove that ? :D<br><br> prove that lim x about 0 (sin(x)/x)=1<br> by using sandwich theorem

earnstyle [38]

$cos (x) \leq \frac{sin (x)}{x} \leq 1$

Apply limit as x->0

8 0

2 years ago

The length of each segment.

shepuryov [24]

We have to use the distance formula between the two points provided

5 0

2 years ago

#1 Review.pdf

stiks02 [169]

Answer:

dgd hshsgs babahsbvss nansnsjs jajsjsj jahsvzgvss hsbsbsvsvs hshshsg

3 0

2 years ago

50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.

Nady [450]

Answer:

(1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

-1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2

m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

-1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

5/2x + 1/2 = x + 4
5x + 1 = -2x + 8
7x = 7
x = 1

<u>Find y-coordinate:</u>

y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

6 0

2 years ago