The general equation of a straight line in slope-intercept form is given as:
y = mx + c
The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
6x - 10y = 20 _____(1)
The slope intercept form is y= mx + c
So,
Subtract -6x on both sides.
6x - 10y - 6x = 20 - 6x
-10y = 20 - 6x
Divide both sides by -10.
y = 20/-10 + 6x/10
y = -2 + 3x/5
y = (3/5)x - 2
Thus,
The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.
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II. State the aditional information needed to prove each pair of triangles is congruent indicated by the theorem.
Answer:
Step-by-step explanation:
8) HL ---> Hypotenuse and Leg
It is already given legs are congruent
Hypotenuse: DE = IJ
9) LL -----> This SAS congruent ---> Both legs of the right angled traingle are congruent
AC = YX
10) LA ----> This is AAS congruent.
BE = EI
2. Find the rank of 4 1 3 3 3
7 -1 6 0 6
2 3 8 2 8
Step-by-step explanation:
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I need solution of 5
Mitchell has been given the option of either paying his $200 bill now or settling it for $204 after 1 month (30 days). If he chooses to pay after 1 month, find the simple interest rate at which he would be charged.
The simple interest rate that he would be of 24.33% a year.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem, considering than an year has 365 days, the parameters are as follows:
[tex]A(t) = 204, A(0) = 200, t = \frac{30}{365}[/tex]
Hence:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]204 = 200\left(1 + \frac{30}{365}r\right)[/tex]
[tex]1 + \frac{30}{365}r = \frac{204}{200}[/tex]
[tex]\frac{30}{365}r = 0.02[/tex]
[tex]r = \frac{365}{30} \times 0.02[/tex]
[tex]r = 0.2433[/tex]
The simple interest rate that he would be of 24.33% a year.
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Help with equation please
9514 1404 393
Answer:
x = 120/17
Step-by-step explanation:
In this arrangement of right triangles, each is similar to any other. Then the ratio (long side)/(hypotenuse) is the same for all.
long side/hypotenuse = BD/BA = CB/CA
x/8 = 15/17
x = 8(15/17)
x = 120/17
Arc and sector area question please help
Answer:
A. x = 14Step-by-step explanation:
Angle formed by intersecting chords half the sum of intercepted arc measures.Apply this to the given measures:
56 = 1/2(3x + 10 + 5x - 10)56 = 4xx = 56/4x = 14Correct choice is A
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it took him 27 minutes to reach home
help me and thanks hans for all the help
If Olivia makes a smoothie with a ratio 7 strawberries to 2 bananas, how many strawberries would she use with 3 bananas?
Answer:
13
Step-by-step explanation:
7strawberries 2 bananas 3 and she use the 3 bananas
and answer is.13
Answer:
The answer is 13 this is because idek
Maria buys 15 sarees. Each saree cost Rs. 525.50 Money spent by Maria is
Answer:
Rs. 7882.5
Step-by-step explanation:
if 1 saree ----->525.50
what about 15------>?
15×525.50÷1 = 7882.5.
I hope this helps
Answer:
Rs 7882.50
Step-by-step explanation:
525.50 x 15 = 7882.50
Mrs. keys has 36 pens. Yesterday she had half that amount plus 2. How many pens did she have?
Answer:
20 pens
Step-by-step explanation:
Half of 36 is 18, along with 2 additional pens.
| Find the total surface area of the prism.
3 cm
5 cm
8 cm
4 cm
6 cm
Answer:
8
Step-by-step explanation:
what is the slope intercept equation of this line
Answer:
B
Step-by-step explanation:
One approach is to plug (2, -2) to every function and only B will work.
Choice A) y = 3x + 4
-2 = 3(2) + 4
-2 = 10
Does not work
Choice B) y = -3x + 4
-2 = -3(2) + 4
-2 = -2
Works
Choice C) y = -1/3x + 4
-2 = -1/3(2) + 4
-2 = -2/3 + 4
-2 = -2/3 + 12/3
-2 = 10/3
Does not work
Choice A) y = 4x - 3
-2 = 4(2) - 3
-2 = 5
Does not work
You can also just take a look at the function and see that its slope is downwards so it has to be negative. Then check the slope using rise/run.
For every 1 to the right it goes down 3, so -3/1 = -3. The only function with a slope of -3 is answer choice B.
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3) A certain medication is prescribed based on the patient's weight at 3mg for
every 20 pounds. How many milligrams of medication would you give a patient
who weighs 180 pounds?
Answer:
27 mg
Step-by-step explanation:
divide 180 by 20 to get 9
then multiply 9 by 3
you should get 27mg
How do you know that the table and the equation represent the same proportional relationship between x and y
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HELP ME PLEASEEEEEE
THANK YOUUUUU
Answer:
Step-by-step explanation:
WZ and ZR are perpendicular
WZ and ST are parallel
QT and YS are skewed
Plane WZR and plane SYZ are perpendicular
Step-by-step explanation:
WZ and ZP are perpendicular
WZ and ST are parallel
QT and YS are skewed
Plane WZR and plane SYZ are also perpendicular
Find the value of xxx, yyy, and zzz in the parallelogram below.
Answer:
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so:
[tex]8x+3=19 \longrightarrow x=2[/tex]
[tex]27=-y-5 \longrightarrow y=-32[/tex]
17. Mia has 4 inches of red yard and 2 inches of blue yarn. How many inches of yarn does she
have?
Answer:
6 inches
Step-by-step explanation:
Given:
length of red yarn = 4 inlength of blue yarn = 2 inTo find the total amount of yarn Mia has, add the two lengths together:
total yarn = red yarn + blue yard
= 4 in + 2 in
= 6 in
m TMN = x + 72, m LMN = 166°, and m LMT = 96 + x. Find m LMT. what is the answer to this? ill make you the brainly
Answer: LMT=95
Step-by-step explanation:
combine both problems to equal 166
x+x+72+96=166
Combine like terms
2x+168=166
Subtract 168 from 166
2x=168-166
Divide
X=-2/2
X=-1
Plug in -1 for x
96-1=95
72-1=71
71+95=166
LMT=95
how many kilograms are in 3650 grams?
Answer:
Step-by-step explanation:
There is [tex]1000g[/tex] in [tex]1kg[/tex].
Therefore we do:
[tex]3650g = \frac{1kg}{1000g} = \frac{3650g}{1000g}=3.65kg[/tex]
if you have a favorite subject in school what is it
Answer:
My favorite subject in school is ELA because I love to read. Please don't judge I am not a nerd. I just like a good book every once and a while.
Step-by-step explanation:
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Enter the first 4 terms of the sequence defined by the given rule. Assume that the domain of each function is the set of whole numbers greater than 0.
[tex]f(n) =3 {n}^{2} + 1[/tex]
Given:
The rule for the sequence is
[tex]f(n)=3n^2+1[/tex]
Domain of the function is the set of whole numbers greater than 0.
To find:
The first 4 terms of the sequence defined by the given rule.
Solution:
We have,
[tex]f(n)=3n^2+1[/tex]
Domain of the function is the set of whole numbers greater than 0. So, domain for first four terms are 1, 2, 3 and 4 respectively.
For n=1,
[tex]f(1)=3(1)^2+1[/tex]
[tex]f(1)=3(1)+1[/tex]
[tex]f(1)=3+1[/tex]
[tex]f(1)=4[/tex]
For n=2,
[tex]f(2)=3(2)^2+1[/tex]
[tex]f(2)=3(4)+1[/tex]
[tex]f(2)=12+1[/tex]
[tex]f(2)=13[/tex]
For n=3,
[tex]f(3)=3(3)^2+1[/tex]
[tex]f(3)=3(9)+1[/tex]
[tex]f(3)=27+1[/tex]
[tex]f(3)=28[/tex]
For n=4,
[tex]f(4)=3(4)^2+1[/tex]
[tex]f(4)=3(16)+1[/tex]
[tex]f(4)=48+1[/tex]
[tex]f(4)=49[/tex]
Therefore, the first 4 terms of the sequence defined by the given rule are 4, 13, 28 and 49 respectively.
Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was – 6 grams. What is the final mass of the sugar crystals?
Answer:
16
Step-by-step explanation:22 minus 6 is 16
The final mass of the sugar crystals is 16 grams if Hugo began his science experiment with 22 grams of sugar crystals.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Hugo began his science experiment with 22 grams of sugar crystals.
During the experiment, the change in the mass of the sugar crystals was – 6 grams.
Let x be the final mass of the sugar crystals.
The value of the x can be found using:
x = 22 - 6
x = 16 grams
Thus, the final mass of the sugar crystals is 16 grams if Hugo began his science experiment with 22 grams of sugar crystals.
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Vertical angles measure (x-28) degrees and (0.5x-13) degrees. What is the value of x?
Answer:
x = -30
Step-by-step explanation:
Ok remember this because its important vertical angles means the two angles are congruent and congruent means when two things are the same
if those two angles are vertical angles what does that mean?
They both equal each other because they are the CONGRUENT!
x-28 = 0.5x -13
combine like terms so add 28 to both sides
x = 0.5x + 15
then subtract - 0.5x on both sides
- 0.5x = 15
then get x by itself by dividing - 0.5 on both sides
x = -30
Vivian surveyed bicyclists in her community to see the average number of miles they biked per day. Her results are shown below.
7, 10, 13, 4, 12, 21, 10, 3
What is the MAD of her data set? What does this tell you about the number of miles biked each day by the bicyclists?
Step-by-step explanation:
4
data-mean/total =4
If x = 7-p and y = 3p + 4, which of the following
expresses y in terms of x ?
step by step please !!
Answer:
Step-by-step explanation:
Answer:
y = -3x + 25
Step-by-step explanation:
You have to find p first.
You can do this by using the x equation and moving the p to the right by adding p to each side to get p + x = 7.
Now, move the x to the left by subtracting x on both sides to get a final answer of p = 7 - x
Then, you can substitute p into the y equation.
So, y = 3(7 - x) + 4.
Distribute to get y = 21 - 3x + 4
Combine like factors to get y = -3x + 25
Hope this helps! :)
The function f is defined by f(x)= - 1/2x^2
Write down the expression for h(x).
Answer: -1/2 (x-4)^2 + 3
Step-by-step explanation:
Since the graphs both have the same stretch of -1/2x^2, you just need to see how much they were shifted up, down, left, or right. h(x) is shifted up 3 and right 4 of f(x) so h(x) = -1/2 (x-4)^2 + 3
Answer:
[tex]h(x)=-\dfrac12(x-4)^2+3[/tex]
Step-by-step explanation:
Given:
[tex]f(x)= - \dfrac12x^2[/tex]
From inspection of the graph, [tex]f(x)[/tex] has been translated 4 units to the right and 3 units up.
Therefore, [tex]h(x)=f(x-4)+3[/tex]
[tex]\implies h(x)=-\dfrac12(x-4)^2+3[/tex]
If someone is a chef, then he can cook well.
Jack is a terrible cook.
What us a valid conclusión?
Answer:
he is not a chef
Step-by-step explanation:
Answer: he a bad cook.
Step-by-step explanation: