1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KATRIN_1 [288]
3 years ago
8

−5y+8x=−18 5y+2x=58 Solve the system of equations. ​

Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

1:   −5y+8x=−18  

Slope = 3.200/2.000 = 1.600

 x-intercept = -18/8 = -9/4 = -2.25000

 y-intercept = 18/5 = 3.60000

2:   Slope = -0.800/2.000 = -0.400

 x-intercept = 58/2 = 29

 y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step  1  :

Equation of a Straight Line

1.1     Solve   -5y+8x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -5y+8x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

 y-intercept = 18/5  =  3.60000  

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = -18/8 = -9/4  = -2.25000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

You might be interested in
Please help me solve this before 8pm today please!!!!!
Nastasia [14]

Answer: x=10

Step-by-step explanation:

7776^{x+5}=216^{3x-5}

6^{5(x+5)}=6^{3(3x-5)}

5(x+5)=3(3x-5)

5x+25=9x-15

25=4x-15

4x=40

x=10

8 0
1 year ago
Sixty people are invited to a party. There are 24 cups in a package and 18 napkins in a package. What is the least number of the
miv72 [106K]
3 packages of cups and 4 packages of napkins assuming that all 60 shows up 3×24=72 4×18=72 plenty with Xtra
4 0
3 years ago
Use a net to find the surface area of the cone to the nearest square centimeter. Use 3.14 for pi (Round to nearest whole number)
Mariana [72]

Given:

The radius of the base of the given cone = 5 cm

The slant height of the cone = 19 cm

To find the surface area of the given cone.

Formula

The surface area pf the given cone is,

where, r be the radius and

l be the slant height.

Now,

Taking, r = 5, l = 19 and π = 3.14 we get,

sq cm

or,  sq cm

or,  sq cm

Rounding off to the nearest square centimeter, we get;

Hence,

The surface area of the cone is 377 sq cm.

3 0
3 years ago
What are the ordered pairs of the solutions for the<br> following system of equations?
Lorico [155]

Answer:

(3,1);(6,-2)

Step-by-step explanation:

I pretty much just looked at where they both intersected with each other and you'll get your answer.

3 0
3 years ago
Find the value of the variable y in the equation –5.7 + y = 8.2.
emmasim [6.3K]

Answer:

y = 13.9

Step-by-step explanation:

It is given that  

–5.7 + y = 8.2.    -----(1)

Equation (1) is a linear equation in one variable.  

LHS consists of a constant and a variable term

RHS consists of only constant term

<u>Find the value of y</u>

Solving the equation

-5.7 + y = 8.2

moving -5.7 to the RHS

y = 8.2 + 5.7

y = 13.9

Therefore the value of y = 13.9

-5.7 + y = 8.2

5 0
3 years ago
Other questions:
  • In circle P, PQ = 3 in. What is the circumference of the circle?
    11·2 answers
  • Eloise started to solve a radical equation in this way: Square root of negative 2x plus 1 − 3 = x Square root of negative 2x plu
    15·1 answer
  • Which juice container is larger: 2l or 1 gal?
    14·2 answers
  • An ice cream factory makes 100 quarts of ice cream in 5 hours. How many quarts could be made in 36 hours? What was that rate per
    13·1 answer
  • Find the area of the shaped region
    8·1 answer
  • Which inequality has an open circle when it is graphed on a number line?
    8·1 answer
  • Find x, y, and z do not include degrees
    12·1 answer
  • Draw a parallel line to line PQ, Start the line with point R
    11·2 answers
  • Which property can be used to show that if 3a = 4b, then 4b = 3a?
    7·2 answers
  • Two-thirds of x plus 6 is greater than 5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!