Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+2*y-(4)=0
Equation of a Straight Line
1.1 Solve 5x+2y-4 = 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 5x+2y-4 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 4/2 = 2
Calculate the X-Intercept :
When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000
x-intercept = 4/5 = 0.80000
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 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -5.000/2.000 = -2.500
Geometric figure: Straight Line
Slope = -5.000/2.000 = -2.500
x-intercept = 4/5 = 0.80000
y-intercept = 4/2 = 2
Can y’all help me this for my homework
Answer:
12.5 km per litre
Step-by-step explanation:
Calculating the amount of kilometres per litre:
Since 507km requires 40.5 litres:
1 litre would require 507/40.5
= 12.5185185
≈ 12.5km per litre
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Simplity using properties of exponents. Write your answer using a
single whole number exponent and the same base as given in the
expression below.
Simplifying Expressions Using the Properties of Exponents (Four Examples)Daniel Ozimek
I need a answer PLEASE
Answer:
it's the third one. x=47/3
Step-by-step explanation:
if needed in decimal form: 15.666
mixed number form: 15 2/3
Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?
Answer:
7.5m
Step-by-step explanation:
Set up a proportion and cross multiply to find the unknown
Hope this helps
The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given question,
Elongation of spring in 180 newtons = 5 cm
The ratio of elongation to force applied = 5/180
The force the second time is 270 newtons.
Let's say the elongation at this time is x cm.
The ratio of elongation to force applied = x/270
Both ratios must be the same.
Therefore, x/270 = 5/180
x = 270/36 = 7.5 cm
Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
Ken bought a new car and had to borrow $6,500 from the bank. The bank charged
Ken 3.7% in simple interest for the 5 years Ken had the bank loan. What's the total
amount Ken will have to repay the bank?
Answer: 65005.037
Step-by-step explanation:
I=?
P=6,500
R=037
T=5 years
I= 6,500+037+5= 65005.037
HELP RN PLEASE!!!!!!!!
Step-by-step explanation:
this is the answer
hopes it helps
Solve the equation. 9 ( − 2 ) =
Answer:
- 18
Step-by-step explanation:
9 ( - 2 )
= 9 x ( - 2 )
= - 18
Therefore, - 18 is the answer of the given equation.
Answer:
-18
Step-by-step explanation:
the parentheses mean to multiply, so 9 times 2 is 18, but since it is a negative and a positive that you're multiplying, then it would be negative 18
please help me with this
Answer:
Step-by-step explanation:
sum of angles of a triangle=180°
9x-2+3x-19+3x+6=180
15x-15=180
15x=180+15=195
x=195/15=13
m∠G=9x-2=9×13-2=117-2=115°
plzz help me with this question
Answer:
The answer to this question is C
[tex]y = \frac{3}{2} x + 7 \\ \\ y = \frac{1}{2}x + 1 [/tex]
What is an equation of the line that passes through the points (2,6) and (1, 1)?
Answer: y=5x+b
Step-by-step explanation:
I used the slope intercept equation, which supplied me the solution.
m=5
b=0
What is the answer for x?
Answer:
Step-by-step explanation:
The triangle’s angles add up to 180 degrees
so 40 + (16x + 2) + ∠C = 180
The straight angle is 180°
so ∠C = 180 - (23x + 7)
∠C = 180 - 23x -7
∠C = 173 - 23x
and then 40 + (16x + 2) +(173 - 23x) = 180
40 + 16x + 2 + 173 - 23x = 180
215 - 7x = 180
-7x = 180 - 215
-7x = -35
x = 5
please give me a brainliest answer
What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)
Answer:
[tex]m=− 32 ≈−0.666666667[/tex]
Step-by-step explanation:
Evaluate. 2 > 8 - 4/3h
Answer: h>9/2
Step-by-step explanation:
What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
ΔQDJ=Δ____
Answer:
GAP but if not that AGP
Step-by-step explanation:
Answer:
ΔQDJ ≅ GAPStep-by-step explanation:
Use the order of corresponding vertices.
Q and G, D and A, J and P are corresponding considering the marks on the lines.
ΔQDJ ≅ GAPhow to solve the attachment question?
Answer:
y = 100 - 0.08^ x
Step-by-step explanation:
Can someone help me please thank you
Di ko alam Yan sorry
Step-by-step explanation:
Bobo ako eh ML nalng Joke lang Tanong nalng kayo Ng iba
Answer:
152
Explination:
this is answer
Brainliest answer: thx(:
in fiq Q.3 measure the angle which the ladder makes with (I) the ground (2) the wall
Step-by-step explanation:
for measuring the angle use the protractor !
write the equation of the line parallel to the given line y = 2x - 4
Answer:
y=2x-8
Step-by-step explanation:
Plot the line and use the parallel slope to create the line and then find the y-intercept
Do the ratios 2/1 and 18/10 form a proportion?
Answer:
2
9/5
Step-by-step explanation:
2/1 = 2
18/10 (divide by 2 up and down) = 9/5
Simplify to create an equivalent expression
-5(3p+3) + 9(-7+p)
The answers are:
A)-5p-78
B)-6p-78
C)-6p-48
D)-6p+78
I need the answer and why
Answer:
66
Step-by-step explanation:
is 5(1/5^3) = 5(5^3)
Answer:
5(1/5^3) ≠ 5(5^3)
Step-by-step explanation:
5(1/5^3) = 5(5^3)
5/27 = 625
5(1/5^3) ≠ 5(5^3)
The sides aren't equal, so this equation is FALSE.
Answer:
Step-by-step explanation:
Short answer: No they are not the same.
5 * 1/5^3 = 1/5^2. One of the 5s in the denominator cancels out.
5^1 * 5^3 = 5^(1 + 3) = 5^4. Nothing cancels here. The powers add.
Jones needs to travel from Town A to Town B in 2 hours. If the distance between between two towns is 320km. At what speed will Jones need to drive?
Answer:jone cần lái xe với tốc độlà:
Step-by-step explanation: 320/2=160(km/h)
HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1
A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1
Answer:
D.) an = 4 * an-1
Step-by-step explanation:
a(n) = (1/3) * 4^(n-1)
a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)
Thus,
a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that
a(n) = 4 * a(n-1).
a line containing the points (4, y) and (-3, 2) has a slope of 3/2.
Answer:
y=14.5
Step-by-step explanation:
A slope of 3/2 means that for every unit it moves to the right, it will move 1.5 units up. The x of 4 is 7 more than the -3 of our other point. 7*1.5=12.5, and 12.5+2=14.5.
What is the significance of a correlation coefficient of − 0 . 97 ?
Answer:
The points all lie very close to the line of fit, and the
line is decreasing.
Step-by-step explanation:
Brainliest maybe
Answer: A.) The points all lie very close to the line of fit, and the line is decreasing.
Express the values below I’m scientific notation 52,800g, 255.6m, 0.04109cm!?
Answer:
1) 5.28 x 10^4 g
2)2.556 x 10^2 m
3)4.109 × 10^-2cm
Have a nice day!!!!!
Answer:
52,800 in scientific notation is [tex]5.28[/tex] × [tex]10^4[/tex].
255.6 in scientific notation is [tex]2.556[/tex] × [tex]10^2[/tex].
0.04109 in scientific notation is [tex]4.109[/tex] × [tex]10^{-2}[/tex].
PLEASE HELP ME!! I’ll give brainliest!!
Rena sells candles. The graph shows the number of candles sold and the
income from the sales. It represents a linear function.
Which statement best describes Rena's income from selling these candles?
A. She gets $6 per candle.
B. She gets $6.50 per candle.
C. She sells 6 candles per dollar.
D. She sells 6.5 candles per dollar.
Answer:
B.) She gets $6.50 per candle.
Step-by-step explanation:
19.5 (the price of 3 candles) divided by 3 is 6.5.
A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
48240Step-by-step explanation:
Part one
1 mile per hour = 1.60 kilometers per hour
30 miles per hour = ?
Step 1: Set up a fraction.
The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.
Step 2: Solve
[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]
Cross multiply1.60 × 30 = 48
1 × k = 1
Therefore, the rate is 48 kilometers per hour.
Part 2
This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.
Step 1: Multiply the result to 5.
48 × 5 = 240
Therefore, the cyclist will travel 240 kilometers in 5 hours.
Step-by-step explanation:
First, to make everything more clear, rewrite it like this-
1 mile = 1.6km
So we have to multiply 30 (miles) by 1.6 (km)
30 x 1.6 + 48
So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.
We have to multiply 48 by 5 which equals 240
So the answer is 240km
LY!
Fill in the missing numbers to complete the pattern:
2.6, 3.1,
4.6, 5.1