Solve by graphing 5x-2y=-10 3x+6y=66

Answers

Answer 1

Final answer:

To solve the system of linear equations by graphing, convert each equation into slope-intercept form, graph both lines on the same coordinate plane, and find their intersection point, which is the solution to the system.

Explanation:

To solve the system of equations 5x - 2y = -10 and 3x + 6y = 66 by graphing, we need to express both equations in slope-intercept form, where y is isolated on one side of the equation.

For the first equation, 5x - 2y = -10, we solve for y to get:

5x + 10 = 2yy = (5/2)x + 5

For the second equation, 3x + 6y = 66, we also solve for y:

6y = 66 - 3xy = -1/2 x + 11

We can now graph these two linear functions on a coordinate plane. The point where the two lines intersect is the solution to the system of equations.

Graphing these equations might look like plotting a line graph with points (x,y) where x is on the horizontal axis and y on the vertical axis.

Identify the y-intercept and slope for each line. The y-intercept is the point where the line intersects the y-axis, and the slope is the rise over the run, indicating the steepness of the line.

After plotting the lines, the intersection point gives us the values of x and y that solve the system. If the lines intersect, the system is consistent; if they are parallel, the system has no solution.

Related Questions

There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library? Enter your answer in the box. WILL GIVE BARINLIYEST

Answers

Answer: The average age is 7.1 years.

This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.

To start, lets multiply the total number of children by their individual ages.

6 x 5 = 30 years
14 x 8 = 112 years

There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.

Find the AREA of this triangle

Answers

Answer: " 20 square units " ; or, write as: " 20 units² " .
________________________________________________________

Note:
________________________________________________________
The formula for the area, "A" of a triangle:

" A = (1/2) * b * h " ;

in which: "A = area" (for which we are to solve);

"b = base length" = 8 (given) ;

"h = perpendicular height = 5 (given) ;

A = (1/2) * b * h = (1/2) * 8 * 5 = 4 * 5 = 20 .
_________________________________________________________
Answer: The area of the triangle given is: " 20 units² " ;
or, write as: " 20 square units" .
_________________________________________________________
Edit: Another way to write the formula for the area, "A", of a triangle is:

" A = (b * h) / 2 " ;

and we can solve: " A = (b * h) / 2 = (8 * 5) / 2 = 40 / 2 = 20 .
_________________________________________________________
The answer is: " 20 square units " ; or, write as: " 20 units² " .
_________________________________________________________

PLZ HELP, GRAPH IT THEN FOR BRAINLIEST

graph the quadratic function f(x)=x^2−12x+27.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

see attached picture for solution and graph

f(x)=x^2−12x+27
find Vertex (h, k)
x = h= -b/2a = -(-12)/2(1) = 6
k = f(h) = 36 - 12(6) + 27
k = -9

so vertex (6,-9)

y = a(x - h)^2 + k

so
y = (x - 6)^2 - 9
x intercept when y = 0
x^2−12x+27 = 0
(x - 9)(x - 3) = 0
x - 9 = 0; x = 9
x - 3 = 0; x = 3
so x-intercept (9,0); (3,0)

y intercept when x = 0 so y = 27 (0, 27)

OK now you can use these to graph the function
(6, -9) (9,0) and (3,0)

16x-10y=10
-8x-6y=6

can someone help me understand this question?

Answers

This is a system of equations, and I am assuming that you are being asked to solve it.

This is finding the point where these two lines intersect.

The key to solving these algebraically is finding one part in terms of another part and substituting.

We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.

We have
[tex]16x-10y=10[/tex]
and
[tex]2(-8x-6y=6)[/tex].

The last equation is rewritten as [tex]-16x-12y=12[/tex].

Now, we cancel the x-terms.

[tex]16x-10y=10[/tex]
[tex]-16x-12y=12[/tex]

[tex]-22y=22 \\ y = -1[/tex]

We have our value for y, so we just plug this back into any of the original equations to get x.

[tex]16x-10(-1)=10\\16x=0\\x=0[/tex]

Thus, the solution to the system of equations is the point [tex](0,-1)[/tex].

Convert each unit of weight....5,500 Ib = ____T

Answers

The answer is 2.75 tons

The answer would be 2.75 T

Anyone know this please and thank you

Answers

The graph shown is not a function because points (-1,2) and (-1,0) have the same x value.

help please thanks

Which trinomials are perfect square trinomials?

Select each correct answer.

a2+15a+75

a2+26a+169

a2+14a+49

a2+4a+16

Which expressions are differences of squares?

Select each correct answer.

t2−4

h2−20

x2−169

a2+1

Answers

Answer: Perfect squares are the middle two. Difference of squares are t^2 -4 and x^2 - 169

First, to be a perfect square the last term must be a perfect square number. Only 169, 49 and 16 are perfect squares. Second, the middle term must be twice the square root of the last term.

You can check this by using foil on the following expression:
(x + 13)(x + 13) You will get x^2 + 26x + 169 which is one of the perfect square trinomials.

For the difference of squares, you must be using subtraction and have two perfect squares.

t^2 - 4 and x^2 - 169 are the right answers, just took the test.

Last one give me the best answer

Answers

V = PI x r^2 x H

471 = 3.14 x 5 x H
471 = 15.7 x h

h = 471 / 15.7 = 30 cm

314/ 15.7 = 20 cm

30-20 = 10 cm difference

what formulas could be used to determine the surface area of a cylinder sandwiched between one cone and half of a sphere?

Answers

To find the surface area of a cylinder sandwiched between one cone and half of a sphere, use the sum of the cylinder's lateral surface area, the cone's lateral surface area, and half the sphere's surface area. The formula is 2πrh + πrl + 2πr², excluding the base areas where the shapes intersect.

To determine the surface area of a cylinder sandwiched between one cone and half of a sphere, you should first consider the formulas for the surface area of these individual shapes. The shapes consist of simple geometrical forms: a cylinder, a cone, and a sphere. The surface area of these shapes can be described with established formulas within the geometry:

Cylinder: The surface area of a cylinder (excluding the ends) is calculated by multiplying the perimeter of the base circle (which is 2πr, where r is the radius) by the height h of the cylinder plus the area of the two circles (2πr²). This gives: 2πrh + 2πr².Cone: The surface area of a cone is the sum of the area of its base (πr²) and the lateral surface area, which is πr times the slant height. However, if the cone is placed on one end of the cylinder and they share a base, you do not need to calculate the area of the base since it is covered by the cylinder. You would just need the lateral surface area of the cone (πrl, where l is the slant height).Sphere: Half of the surface area of a sphere is 2πr² since the full surface area is 4πr².

Therefore, the final formula to calculate the total surface area of the described complex shape is the sum of the surface area of the lateral side of the cylinder, the lateral surface area of the cone, and half of the surface area of the sphere. This could be written as:
Total Surface Area = 2πrh + πrl + 2πr².

Note that you would omit the area of the circle that is common between the cylinder and the cone, as well as the area that is common between the cylinder and the half-sphere, since they are internall and not part of the external surface area.

mario earns money mowing his neighbors lawns the revenue for mowing x lawns is r(x)=25x marios cost for gas and the mower rental is c(x)=6x+15 his profit from mowing x lawns is p(x)=(r-c)(x) what is p(x)

Answers

Well we know that
r IS 25x
c IS 6x+15.
So we can do r - c
(25x) - (6x + 15)

Now I gave you part of the answer. Can you simplify?

Answer:

p(x) = 19+15

Step-by-step explanation:

A high-speed elevator can rise 480 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevator?
a- 480 × 30
b- 480 ÷ 30
c- 480 × 0.2
d- 480 ÷ 1/2

Answers

Hi there!

The answer is d.

1 min ÷ 2 = 30 sec
so
30 sec × 2 = 1 min

So, the answer is D.

Hope this helps!

A student solved this problem by working backward. Janice went shopping with her mom and at the end of the day she had $59.50 left over. She spent $13.65 on a T-shirt, $22.99 on some new sandals, and $40.75 on a new skirt. How much money did Janice have at the beginning? Student's solution - Janice had $59.50 left. Add up all the amounts she spent ($13.65 + $22.99 + $40.75) and add to the amount she has left over ($77.39 + $59.50). So Janice had $136.89 to begin with. Solve this problem. Dale was fixing his fence. At the end of the day, he had 12.5 feet of wood left over. During the day he had used one 3.5 foot long piece of wood, two 5.9 foot long pieces of wood, and one 10 foot long piece of wood. How many feet of wood did Dale have at the beginning of the day? feet

Answers

Hello there! Your answer is (136.89) hope it helps and have a wonderful day!

(Btw nice car love it)

i need really need help please

Answers

2*(1.1) +3.75 = 5.95 miles
or 5 19/20 miles, if you want a mixed number.

Suppose two fractions are both less than 1. Can their sum be greater than 1? greater than 2?

Answers

Their sum can be greater than 1 but it would be less than 2.

The biggest fraction which is less than 1 is 0.99

Sum of 0.99 + 0.99 = 1.98, which is greater than 1 but less than 2.

The sum can be greater than 1, but not two. For example say the fractions are, 3/4 and 5/6, the total is , 1 7/12. Which is greater than 1 but not two. It cannot be greater than 2 because fractions are a part of 1.UNLESS, it is a mixed number fractions, than they can be infinitely great. Such as 123 3/4 + 45 2/4 is definitely greater than 2.

How do u solve g/12=-10

Answers

multiply -10 by 12

g=-120

The answer is -120 because you have to multiply both sides of the equation by 12

the midpoint od EF is point P at (-6 -2). If point E is at (2,-4), what are the coordinates of point F

Answers

this is the answer of you question

7y+4x=3; (-4,-7) write the equation in slope intercept form

Answers

y= -4/7x + 3/7

hope this helps

rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR

Answers

QR =12 because you set up a proportion 21/14=x/8 then cross multiply and get 14x=168 then you divide and get 12

The length of QR in rectangle PQRS is 12 cm, found by setting up the proportional relationship 14/21 = 8/QR, where 14 cm and 8 cm are the lengths of sides AB and BC of rectangle ABCD, respectively, and 21 cm is the length of side PQ of rectangle PQRS.

Since rectangle ABCD is similar to rectangle PQRS, their corresponding sides are proportional. To find the length of QR, we will set up a proportion using the given lengths:

AB/PQ = BC/QR

Substituting the given lengths:

14/21 = 8/QR

Now, solve for QR:

QR = (21 * 8) / 14

QR = 168 / 14

QR = 12 cm

So, the length of QR in rectangle PQRS is 12 cm.

A box of candy contains 6 lemon, 3 orange, and 4 cherry pieces. If you select a piece of candy at random, what is the probability that you select an orange OR a cherry piece?

Answers

7/13 would be the answer

It would be 7 maybe im not so sure

Two rectangles are similar. If the height of the first rectangle is 3 inches, and the height of the second rectangle is 9 inches, how much longer is the second rectangle's perimeter? 3 times as long 6 times as long 9 times as long 6 inches longer

Answers

3 times as long .....hope this helps

Answer:

Option a.

Step-by-step explanation:

Two rectangles are similar. Height of one rectangle is 3 inches and height of second rectangle is 9 inches.

Let width of rectangles are x inches and y inches.

Then width of the second rectangle will be in the same ratio as of their heights.

[tex]\frac{x}{y} =\frac{3}{9}[/tex]

[tex]\frac{x}{y} =\frac{1}{3}[/tex] ⇒ x = [tex]\frac{y}{3}[/tex]

Now perimeter of first rectangle P₁ = 3 + 3 + x + x = 2x + 6

Perimeter of second rectangle P₂ = 9 + 9 + y + y = 18 + 2y

Ratio of P₁ and P₂ = [tex]\frac{2x+6}{18+2y}[/tex]

= [tex]\frac{2(\frac{y}{3})+6}{18+2y}[/tex] [as [tex]x=\frac{y}{3}[/tex]]

= [tex]\frac{\frac{(2y+18)}{3} }{(18+2y)}[/tex]

= [tex]\frac{2y+18}{3(18+2y)}[/tex]

Ratio of P₁ and P₂ = ([tex]\frac{1}{3}[/tex]) ⇒ P₂ = 3P₁

Therefore, Option a is the answer.

I NEED HELP ASAP!

A metal rod is
7/8
meters long. It will be cut into pieces that are each
1/56
meters long. How many pieces will be made from the rod?

Write your answer in simplest form.

Answers

There will be 49 pieces, each 1/56 meters long.

WE HAVE TO DO:
(7/8)/(1/56)= 7/8 * 56/1=49 pieces

help help help!!!ill return

Answers

Hello! For this question, all you have to do is the distributive property. Multiply -15 with each number inside the parenthesis. -15 * -10 is 150. -15 * -5x is 75x.Nothing else needs to be combined, so we are finished. There. The expression simplified is 150 + 75x.

-15 (-10 - 5x)
Since you never asked, I'll assume you need it simplified xP

Distribute Parenthesis
(−15)(−10) -15(-5x)

Apply + and - rules
(-15) (-10) + (-15) (-5x)

Finish
150 + 75x

Need this answered today also explain the answers please

Julia measured the high temperature in her town for one week. Using the chart below, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth. Be sure to show your work for finding:

the mean of the set of data
the distance of each number from the mean
the mean absolute deviation

Answers

It's not much but to find the mean you add up all of the numbers in the set, and then divide by how many numbers there are. so like, if you have : 2, 2, and 3. You'd add them and get 7, then divide by 3 because there are three separate numbers.

Are these correct please help

Answers

the triangle has no obtuse angles and a right triangle only has 1 right angle

A triangle only has one right angle also the triangle has no obtuse angle.

find the diameter of a circle with an area of 226.98

Answers

Remember the formula of the area of a circle is:
[tex]V = \pi * r^{2} [/tex]
SO given that
V = 226.98
and [tex] \pi = 3.14[/tex]
Plug in a chug
226.98 = 3.14 * [tex] r^{2} [/tex]
[tex] r^{2}= 72.287[/tex]
r = 8.50

Remember that d = 2 * r
d = 2 * 8.5 = 17

If c=3k+4 and d=7+9k^2, what is d in terms of c?

Answers

Answer:

d = (c -4)² +7 = c² -8c +23

Step-by-step explanation:

Both 'c' and 'd' are expressed in terms of the variable k. In general, that variable is eliminated by writing k in terms of 'c' or 'd', then substituting for k in the other equation.

Eliminating k

We recognize that the 9k² term in the expression for 'd' is the square of the 3k term in the expression for 'c'. That means we don't have to solve for k; we only need to solve for 3k. The equation for 'c' gives an easy way to do that.

c = 3k +4

c -4 = 3k . . . . . . . subtract 4 to get an expression for 3k

Substituting into the equation for 'd', we have ...

d =7 +9k²

d = 7 +(3k)² . . . . . writing 9k² in terms of 3k

d = 7 +(c -4)² . . . . substituting for 3k. This is d in terms of c.

This can be simplified to ...

d = c² -8c +23 . . . . another form of d in terms of c.

Final answer:

To express 'd' in terms of 'c', solve the first equation for 'k' and substitute this value into the second equation. This yields: d=7+((c-4)^2)/3.

Explanation:

To express d in terms of c, we first need to make k the subject of c=3k+4. We do this by subtracting 4 from both sides, getting c-4=3k, and then dividing both sides by 3, which gives us k=(c-4)/3. Next, we substitute this value of k into the second equation: d=7+9k^2. Substituting, we get d=7+9*((c-4)/3)^2, which, when simplified, gives the result d=7+((c-4)^2)/3. This is the expression for d in terms of c.

Learn more about Equation substitution here:

https://brainly.com/question/10852714

#SPJ12

I WILL GIVE BRAINLIEST!!!!
Question 16 Unsaved
Which of the following statements is true?

Question 16 options:

-4.5 < -5.8

-3.4 > -4.2

0 < -8.5

3.9 < 1.3

Answers

- 3.4 > - 4.2 is the only correct statement

> means larger than
< means smaller than

A negative number which closer to 0 than an other negative number, is larger. Therefore - 3.4 is larger than - 4.2, and therefore - 3.4 > - 4.2

How did convenience store there is a 25% chance as customer enters the store within one minute of closing time describe the complementary and find this probability

Answers

The complementary is not entering the store one minute before closing.

The probability of not entering the store one minute before closing is 75%

The answer to your question is 75%

EMERGENCY PLEASE HELP REALLY HARD!

The first and fourth terms of a geometric sequence are shown.

−2,___ , ___, 128

What are the second and third terms of this geometric sequence?

Answers

geometric sequence nth term:
tₙ = t₁ · (r)ⁿ⁻¹

t₁ = -2
t₄ = 128 (4th term)

formula for 4th term:

t₄ = -2 · (r)⁴⁻¹ = -2· (r)³

since t₄ = 128

128 = -2(r)³
(r)³ = -64
r = ∛-64
r = -4

so second term is
t₂ = -2· (-4)²⁻¹ = 8

third term is
t₃ = -2 · (-4)³⁻¹ = -32

MATH HELP PLEASE WILL GIVE BRAINLIEST!!
What is the trigonometric ratio for cosN ?

Enter your answer, as a simplified fraction, in the boxes.

Answers

cos n=A/H=36/39
=12/13

THERFORE, COS N=12/13

Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.

Given are the sides LM = 15, MN = 36, and LN = 39.

It says to find cos(N) = ?

So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.

We know about the "Soh-Cah-Toa" rule in which cosine ratio is given by :-

[tex] cos(N) = \frac{Adjacent}{Hypotenuse} \\\\
cos(N) = \frac{MN}{LN} \\\\
cos(N) = \frac{36}{39} \\\\
cos(N) = \frac{12}{13} [/tex]

Hence, final answer is [tex] cos(N) = \frac{12}{13} [/tex].

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