The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).
We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)
Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get
= (5-3)/(4-0)
= 2/4
= 1/2
Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get
3=1/2(0)+c
c=3
Put m=1/2 and c=3 in y=mx+c, we get
y=1/2 x+2
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
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Yep.. that's how you count...good job
The sum of-38 and a number is -21.
equation
Answer:
-38 + x = -21
Step-by-step explanation:
Since we don't know the number that -38 is being added to, we can suplement it in the equation with x.
Which of these u is a example
Answer:
the correct answer is C there ya go
Answer:
C. Typing 28 words in 2/3 of a min
Step-by-step explanation:
42 words : 60 secs = ? words : ? secs
42:60 16:40 / This could not be an answer because 1/3 of 42 is 14. And 16 exceeds 14. So this couldn't be a possible answer choice.
42:60 16:80 / This could not be an answer because 16 is less than 42 and the time given here is over 60 secs.
42:60 28:40 / This would be an answer because 1/3 of 42 is 14. SO if we multiplied 14 by 2 we would be 28.
42:60 28:80 / This could not be an answer because 28 is less than 42 and the time given here is over 60 secs.
❗25 POINTS❗ ...................................................
Answer:
22
Step-by-step explanation:
Is shape 1 similar to shape 2? Why or why not?
A jar contains 2000 marbles. If 61.5% of them are red, 27.5% are white, and 10% of them are blue, how many marbles are neither red, white, or blue?
Answer:
1 percent, or 20 marbles
Step-by-step explanation:
add all the other percentages and it sums up to 99%. and the other one percent of the marbles is 20.
Answer:
20 marbles
Step-by-step explanation:
61.5 + 27.5 + 10 = 99
this means 1% are neither red, white or blue
1% of 2000 is 20
how many permutation are there of the letters of the word "ENGLISH"
[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]
5040120[tex]\huge\blue{ChaEunWoo2009}[/tex]
#CarryOnLearning
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4
(-3√3, 1)
(astroid)
Differentiate both sides of
[tex]x^{2/3} + y^{2/3} = 4[/tex]
implicite with respect to x :
[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for the derivative dy/dx :
[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]
Get the slope at the given point (-3√3, 1) :
[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]
Then the equation of the tangent line to the curve through (-3√3, 1) is
[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]
Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2x(5+ 6) = (2 x 5) + 6
B. 2x (5 + 6) = (2 x 5) + (2 x 6)
C. 2x(5 + 6) = (2+5)* (2 +6)
Answer:
One number sentence shows the distributive property of multiplication over addition. ... (5 + 4) × 3 = (5 × 3) + (4 × 3) is an example of the distributive property. (5 − 4) × 3 = 1 × 3. 1 × 3 is not equal to (1 × 3) − (1 × 3).
Step-by-step explanation:
A
someone help me pls
the answer is 33 because 3+3=6*10-35+2
Georgina cooked a 10 1/5 pound turkey in 2 3/5 hours. How many hours per pound did it take to cook the
turkey? Express and explain your answer as a unit rate.
13/51 hours per pound
EXPLANATION
= 2 3/5 hours : 10 1/5 pound
= 13/5 hours : 51/5 pound
= 13/5 × 5/51 hours per pound
= 65/255 hours per pound
= 13/51 hours per pound
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12. Jessica places 3 photos on the cover of her picture album. She places 4 photos on each of the other pages. She has
135 photos in all. How many pages will she need if she uses all of her photos?
A. 33
B. 38
C. 40
D. 28
Answer:
A 33
Step-by-step explanation:
135 - 3 = 132 photos for other pages
132/4 = 33 pages
given that x is an acute angle and cos x equals to 2 root 5/5 find without using mathematical tables or a calculator tan (90 - x)
Answer:
whats cos? i dont understand if its written in question please explain
Step-by-step explanation:
Will give brainliest.
Your cousin is selling cookies. He borrowed $10.82 from you for supplies and plans to sell each cookie for $0.75. If he sells an average of 12 cookies a day, how long will it take him to repay what he owes you AND make $25 in profit? (Round to the most reasonable number.)
Question 1 options:
3 days
4 days
5 days
6 days.
Show and explain your thought process for the question above. How did you reach your conclusion? What did you do to find that number?
Answer:
4 days
Step-by-step explanation:
Jasmine is solving this equation. What value of x makes Jasmine's equation true?
x/4 = 9
Answer:
The value of x that makes Jasmine's equation true is 36, because 36 / 4 = 9.
Step-by-step explanation:
brainliest please. . .
You roll two fair dice. If they land with a sum of 7, you get a $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the highest value you could set the price and the player would still win?
$8
$5
$2
$10
Using the expected value, it is found that the highest value you could set the price is: $5.
-----------------------------
A game is fair, that is, the player would still win, if the expected value is 0.The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].
The charge is x.
6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.
10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.
36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.
Since we want the expected value to be 0:
[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]
[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]
[tex]22x = 110[/tex]
[tex]x = \frac{110}{22}[/tex]
[tex]x = 5[/tex]
The highest value you could set the price is: $5.
A similar problem is given at https://brainly.com/question/24905256
Evaluate [(21 + 6) − 32] ÷ 9 ⋅ 2. (1 point)
Answer:
-1.1
Step-by-step explanation:
Hope this helps! Let me know if it’s wrong. Pls give brainliest!
The Scientific Method Which of these is the best reason for doing more background research after making an observation and before forming a hypothesis? to find the answer without having to do an experiment to prevent making the same mistakes made in a prior experiment to fill the space in your lab report to make your data agree with prior experiments
Answer:
Step-by-step explanation:
The best reason for doing more background research after making an observation and before forming a hypothesis is to prevent making the same mistakes made in a prior experiment. It is to make sure that you are able to see the problems of a research and make an experimental design that will minimize the errors?
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $87.00
Markdown: 33%
The sale price is $.
How Did Dregg Do On His Antarctica Test? Answers
Answer:
He knew it cold.Explanation:
Hope it helps you..
Y-your welcome in advance..
(;ŏ﹏ŏ)(ㆁωㆁ)
Ventamo has 72 jars of strawberry jam, and 32 jars of raspberry jam. He wants to place the jam into the greatest possible number of boxes so that each box has the same number of jars of each kind of jam. How many boxes does he need?
8 boxes
Step-by-step explanation:
Start with a proportion
32/72
reduce
4/9
so now
4 jars of raspberry and 9 strawberry times 8 for the total number
so
8 boxes
These two are balanced.
True or false? Also I’m sorry ab the photos quality
Find the sum of 12.01 and 3.8
Answer:
15.81 is the answer.
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -1/6x + 2
Step-by-step explanation:
Slope: (-6,3) and (6,1) = (1-3) / (6 - - 6)
= - 2/12 = -1/6
b = 3 - (-1/6)(-6)
b = 3 - 1
b = 2
If f(n) = -3n + 10 what is the 5th term???
toni had 5 1/2 kilograms of sugar.how many cakes can he bake if he ise 1/4 hilogram of sugar per cake?
pls i need the answer
Answer:
22 cakes
Step-by-step explanation:
5 1/2kg = 11/2 = 22/4
22/4 is what you have in sugar while you only need 1/4 per cake, so you can make 22 cakes
Answer:
He can makec 22 cakes
Step-by-step explanation:
He use,
[tex] \frac{1}{4} kg = 1 \: \: cake \\ [/tex]
Let's find how many caked will he make from 5 1/2kg
Let the unknown number of cakes be x
[tex] \frac{1}{4} = 1 \\ 5 \frac{1}{2} = x[/tex]
[tex] \frac{1x}{4} = 5 \frac{1}{2} \\ \frac{1}{4} x = \frac{11}{2} [/tex]
Use cross multiplication
[tex]2 \times 1x = 11 \times 4 \\ 2 x= 44 \\ \frac{2x}{2} = \frac{44}{2} \\ x = 22[/tex]
Hope this helps you
Let me know if you have any other questions :-):-)
5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.
Answer:
base = 12; height = 3
Step-by-step explanation:
Area: ( b x h ) / 2
base: 2x
height: (x - 3)
---------------------------------
( ( 2x )*( x - 3 ) )/ 2 = 18
( 2x ^2 - 6x ) = 36
2x ^2 - 6x - 36 = 0
(quadratic formula)
x = 6
x = -3
---------------------------------
taking the positive value : x = 6
---------------------------------
base: 2x = 2(6) = 12
height: x - 3 = 6 - 3 = 3
Is 2 pi 9 inches rational or irrational
see budy your answer is very simple and that's 2 pi 9 inches is a rational number
Evaluate. (a−2b)3 when a=−2 and b=−12
Step-by-step explanation:
(a−2b)
3
\{ - 2 - (2 \times - 12) \}{−2−(2×−12)}
\{ - 2 - ( - 24)\}{−2−(−24)}
\{ - 2 + 24 \}{−2+24}
2222
the required value is 22
The simplified value of (a−2b)³ is 10648.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
given:
(a−2b)³
and, a=−2 and b=−12
Now, substituting the values
(a−2b)³
= ((-2)−2(-12))³
= (-2 + 24)³
= 22³
= 10648
Hence, the simplified value is 10648.
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DONT ANSWER THIS QUESTION OR ELSE
Answer:
or else what?..... ......
