Answer:
[tex] \large \boxed{y = 7x + 12}[/tex]
Step-by-step explanation:
Goal
Write the equation of a line in slope-intercept form.Given
Coordinate points which are (0,12) and (-4,-16).Step 1
Find the slope by using slope formula or rise over run which is the changes of y over the changes of x[tex] \large{m = \frac{y_2-y_1}{x_2-x_1}}[/tex]
Substitute the coordinate points in the formula.
[tex]m = \frac{12 - ( - 16)}{0 - ( - 4)} \\ m = \frac{12 + 16}{0 + 4} \\ m = \frac{28}{4} \longrightarrow \frac{7}{1} \\ m = 7[/tex]
Step 2
Rewrite the equation by substituting the slope in slope-intercept form.[tex] \large{y = mx + b}[/tex]
Substitute m = 7.
[tex]y = 7x + b[/tex]
Step 3
Substitute any given coordinate points in the rewritten equation.Substituting any given coordinate points will give the same solution.
Step 3.1
Substitute (0,12) in the equation.[tex]y = 7x + b \\ 12 = 7(0) + b \\ 12 = 0 + b \\ 12 = b[/tex]
Step 3.2
Substitute (-4,-16) in the equation.[tex]y = 7x + b \\ - 16 = 7( - 4) + b \\ - 16 = - 28 + b \\ - 16 + 28 = b \\ 12 = b[/tex]
Step 4
Rewrite the equation again by substituting the value of b.[tex]y = 7x + b[/tex]
Substitute b = 12.
[tex]y = 7x + 12[/tex]
Hence, the solution is y = 7x+12.
Hope this helps! Any questions about my answer can be asked in comments.
~ Vectør ~
Which number below is a perfect square? 15 19 16 20
Answer:
16
Step-by-step explanation:
4x4=16
Answer:
16
Step-by-step explanation:
4 x 4=16
What is the product ([tex](7\sqrt{8} +3\sqrt{12} )(7\sqrt{8} -3\sqrt{12})[/tex]?
Pls help for my math class!
Answer:
i think it is b but i am not 100%
sorry if i am wrong
Step-by-step explanation:
i need help with geometry!
Answer:
The answer is 142°.
Step-by-step explanation:
We know this because corresponding angles are always congruent. Thus, in the parallel lines m || n (with the transversal) a corresponding angles is exampled. Nonetheless, x would be equal to 142°.
Am I correct? >.<
Hopefully I helped! :)
11 1 1 point Find the circumference of the circle. Do NOT round your answer. 16.8 m
Step-by-step explanation:
22/7*1111=3491
this is the ams
estimate a 15% tip for a $60 bill
Answer:
the answer would be 15/100= .15 *60= 9 so the tip would be 9$
Answer the tax would be *.00 dollars if you estimate it
Step-by-step explanation:can I get marked brainlist
My teacher told me to do this question I will give brainliest
If you were to teach a friend how to solve the following two-step equation : 3x + 18 = 48, what would you say, step by step? You may work it out first before you start your writing.
Answer:
Step-by-step explanation:
3x + 18 = 48
Bringing like terms on one side
3x = 48 - 18
3x = 30
x = 30/10
x = 3
Answer:
x = 10
Step-by-step explanation:
Subtract 18 from both sides.
3x=48-18
Simplify 48-18 to 30.
3x=30
Divide both sides by 3.
x= 30/3
Simplify 30/3\ to 10
x=10
x=10
An author receives $0.75 for each hardcover book or paperback book that is sold. There were x hardcover books and 42,000 paperback books sold of her most recent book. The author received a total of $60,000 for the book sales. The equation below can be used to determine the number of hardcover books that were sold. 0.75(x + 42,000) = 60,000. How many hardcover books were sold?
The rectangle below has an area of 49-x^249−x 2 49, minus, x, squared square meters and a width of 7+x7+x7, plus, x meters. What expression represents the length of the rectangle?
Answer:
7-x meters
Step-by-step explanation:
Answer: (7-x)
Step-by-step explanation: khan
Can somebody help me please
Answer:
I believe it’s 65
Step-by-step explanation:
Not fully sure
Harry receives a package for his birthday the package weighs 50 Oz what is the weight of the package in pounds and ounces?
Answer:
3 pounds 2 oz
Step-by-step explanation:
1 pound = 16 oz
x pounds = 50 oz
Cross Multiply
16x = 50 oz Divide by 16
x = 50 / 16
x = 3 pounds with 2 oz left over.
Your calculator will give you 3.125
0.125 = 1/ 8
1/8 * 16 = 2
Find each missing angle
Please
Answer:
m<1=61
m<2=40
m<3=60
m<4=80
m<5=100
Step-by-step explanation:
180/3=60
180/9=20
20x2=40
20x4=80
20x3=60
59+60=119
180-119=61
180-80=100
The number of students in a chess club decreased from 27 to 11. What is
the percent decrease? Round your answer to the nearest percent.
Your answer
Answer:
59.26.
Step-by-step explanation:
I think!
What’s 1/4 divided by 7 in lowest terms PLEASE HURRY AND ANSWER
question “If y =5, what is the value of the following expression
7+2y²
Answer:
57
Step-by-step explanation:
Hey there!
To find the solution, plug in 5 for y. When you do this you get, 7+2(5)². Square the 5 to get 25. And then you att 7+2(25). 25 x 2 is 50. 50 +7 is 57.
Hope this helps :)
Find the measure of the indicated angle.
a. 44°
b. 150°
c. 40°
d. 37°
dont say u cant see the pic, if u cant dont answer simple, all fake answers will be reported
Step-by-step explanation:
Opt . C) 40⁰ is the answer .....
what is 70% of 53? PLZZZ HELP ASAP
Help me please I will give you brainlist!
Answer:
2x
Step-by-step explanation:
2x has a value of 4 because x = 0 and y = 4 so the answer would be 2x
which point 1 on the number line?
0
1/6
A
B
C
D
Choose 1 answer
A
B
C
D
Answer:
kind of confusing to read
Step-by-step explanation:
A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters. What is the probability of drawng a quarter, replacing it, and drawing another quarter.
Given:
A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters.
To find:
The probability of drawing a quarter, replacing it, and drawing another quarter.
Solution:
A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters.
Total number of coins = 8+5+1+7 = 21
Probability of getting a quarter is
[tex]P(Quarter)=\dfrac{\text{Number of quarters}}{\text{Total number of coins}}[/tex]
[tex]P(Quarter)=\dfrac{7}{21}[/tex]
[tex]P(Quarter)=\dfrac{1}{3}[/tex]
After drawing a quarter, we replaced it. So, the probability of getting quarter in second draw is the same and first one, .i.e., [tex]P(Quarter)=\dfrac{1}{3}[/tex].
The probability of drawing a quarter, replacing it, and drawing another quarter is
[tex]P=\dfrac{1}{3}\times \dfrac{1}{3}[/tex]
[tex]P=\dfrac{1}{9}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{9}[/tex].
pls tell me which to pick (a,b,c,or d)
Answer:
B (Y, N, N)
Step-by-step explanation:
a) y = 1/3x, so each value satisfies it. This is true.
b) If "a" is "Y" then b has to be no
c) 1 * 11 = 11
2 * 2 = 22
3 * 5 = 15
The last equation does not follow the rules for the previous two equations, so it is no.
Thus, the answer is B (Y, N, N)
how would you factor 12b^4+3b^2
Answer:
3b²(4b²+1)
Step-by-step explanation:
You can factor out a 3b²
3b²(4b²+1)
Answer:
Hey friend, need some help if you factor 3b^2 out of 12b^4+3b^2, in other words, 3b^2 (4b^2 + 1)
Show your work:
3b^2 (3b^2 / 12b^4) + (3b^2 / 3b^2)
PLZ give 5 stars, heart, and brainlyest
Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 7 laps? Numbers 2 4 6 8 10. Time 18 36 54 72 90
Answer:
42
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
find one lap
2/2=1
18/2=9
1 lap = 9
1·7=7
9·7=63
A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65% of the time. If this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up? 0.0150 0.1785 0.8215 0.9850
so I believe it is C 0.8215
The probability is 0.1785
What is probability?The study of how likely certain events are to occur is known as probability. In its simplest form, it is concerned with the fall of a game's cards or the roll of a dice. However, probability is also essential to life and science as a whole. Probability is used, for example, in weather forecasting and figuring out how much your insurance premiums will cost.
Given probability of tail by spinning a coin is 65% = 0.65
p(t) = 0.65 and p(h) = 0.35
where h= head and t= tail
coin spins 4 time
p(t) for first time = 0.65
p(t) for second time = 0.65 x 0.65 =0.4225
p(t) for third time = 0.65 x0.65 x 0.65 = 0.274
p(t) for fourth time = 0.65 x 0.65 x0.65 x 0.65 = 0.178
Hence probability that a student who spins 4 pennies will have them all land tails is 0.178
Learn more about probability;
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Can somebody plz help answer these correclty (only if done this before) like show the answer /how I’m suppose to write it thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS THESE FIRST :DDD!!!
Answer:
1) 3x = 39 ; x = 39/3 = 13
2) x + 7 = 15 ; x = 15-7 = 8
3) 6x = 18 ; x = 18/6 = 3
4) x-4 = 11 ; x = 11 + 4 = 15
5) 1/7 x = 3 ; x = 3 *7 = 21
6) 13+x = 21 ; x = 21 - 13 = 8
I hope im right!!!
What is included in a total monthly mortgage payment?
O A. Principal, investment, taxes, and insurance
B. Payment, interest, taxes, and insurance
O C. Principal, interest, taxes, and insurance
D. Principal, interest, title, and insurance
Total monthly mortgage payment includes option C. Principal, interest, taxes, and insurance.
What is Mortgage Payment?Mortgage is defined as a type of loan which are typically used to finance or maintain a property which can be land or other kinds of rentals.
They are referred to as secured loans.
Total monthly mortgage payment consist of mainly four components.
They are :
Principal InterestTaxes InsuranceThe main components are principal and interest.
Principal amount is the amount that you borrowed for your purpose.
Interest payment is the amount that the lender charges which varies.
Hence the option is C.
To learn more about Mortgage Payments, click :
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SOMEONE PLEASE HELP ME!!!!!! I RLLY NEED THE ANSWER TO THIS!!!
The Pythagorean Theorem states that a² + b² = c?, where a and b are legs of a
right triangle and c is the hypotenuse. Are you able to simplify the Pythagorean
Theorem further to say that a + b = c? Explain.
Answer:
yes, you can square root to entire equation to get to a+b=c, the square root cancels out the 2
Step-by-step explanation:
Please help! 58 points for both questions and explain how to get the answer!
Answer:
number 2 is c
number 1 is d?
Step-by-step explanation:
because if it a has been 1 minute(m=1) the 35(1)=w --> w=35 for for one minute there is 35 words 35m=w
for 1 i cannot see, but if d says 3/4 and x=3/4 then d is the answer
Answer:
(For your second question.):
35w=m
Step-by-step explanation:
Why?
It states in the problem itself that miles types 35 words per minute.
"w" stands for words
'm' stands for minutes.
The constant rate relies on the clearest data after all. The equation itself is enough!
Remember: 1 min = 60 seconds.
Are the following triangles similar or not similar?
I need help ASAP , I don’t understand this
Answer:
can't see, the pic is too blurry
