Item 10 The endpoints of the directed line segment AB are A(−1, 2) and B(7, 8). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 1 to 3.
Answer:
The coordinates of point P along AB is (1,6.5)
Step-by-step explanation:
We shall use the internal division formula to split AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/m + n , (ny2 + my1)/m + n
m = 1 , n = 3
(x1,y1)= (-1,2)
(x2,y2) = (7,8)
(x,y) = (3(-1) + 1(7)/1+3 , (3(8) + 1(2)/1+3
(x,y) = (-3 + 7)/4, (24 + 2)/4
(x,y) = 4/4 , 26/4
(x,y) = (1, 6.5)
PLS HELP will give brainleist
Answer:
just substitute the X's
Which operation should you perform first in the expression 12×42?
Answer:
Muitiplication
Step-by-step explanation:
12x42=504
I would perform the multiplication (12 × 16) last.
Expand and simplify (3x-2)^2
Answer:
The answer is: 9x^2 - 12x + 4
Step-by-step explanation:
Perfect square formula: (a - b)^2 = a^2 - 2ab + b^2 ; a = 3x, b = 2
(3x)^2 - 2 * 3x * 2 + 2^2
Simplify:
9x^2 - 12x + 4
The expanded and simplified form of (3x-2)^2 is 9x^2 - 12x + 4.
To expand and simplify (3x-2)^2, we can use the FOIL method. FOIL stands for First, Outer, Inner, Last and is a systematic way to multiply two binomials.
First, let's square the first term:
(3x)² = 9x²
Next, we multiply the outer terms:
(3x)(-2) = -6x
Then, we multiply the inner terms:
(-2)(3x) = -6x
Finally, we square the last term:
(-2)² = 4
Now, let's combine all the terms:
9x² - 6x - 6x + 4
Combining like terms, we have:
9x² - 12x + 4
So, the expanded and simplified form of (3x-2)² is 9x² - 12x + 4.
To know more about the whole square follow
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The sum of two numbers is 72, and their difference is 40. Find the numbers.
Answer:
the answers are 51 and 11
Answer:first number is 51 second number is 11
Step-by-step explanation:
an electrician charges an initial fee of $250 plus and hourly fee of $25. Mr.Scott paid the electrician $400. How many hours did the plumber work
Answer:
The plumber worked for 6 hours.
Step-by-step explanation:
400-250=150
150/25=6
Sorry I’m might ask many more questions but I’m trying to finish this tonight so PLS HELP ASAP
Answer:
14 hours
Step-by-step explanation:
93 / 6 = 15.5 so every hour you drive 15.5 miles
217 / 15.5 = 14 you travel 14 miles overall
PLEASE PLEASE HELP. I’ll give branliest....I’m begging.
Answer:
Step-by-step explanation:
Things to remember,
1). Any point on the graph of a function is represented by [x, f(x)].
2). x-coordinates are the input values on x-axis and f(x) is the output value of the function on y-axis.
A). For x = 2, value of f(2) will be,
f(2) = 4
B). For x = 5, value of f(5) will be,
f(5) = 7
C). Since, 4 < 7
Therefore, f(2) is less than f(5).
2n+3 5n-4 work out 2 terms that are in both
Answer:
(2n 2+5n−4)⋅(n+1)
Step-by-step explanation:
STEP
1:Equation at the end of step 1
(((4•(n2))+3n)+((2•(n3))-4))+(3n2-2n)
STEP 2:Equation at the end of step 2
(((4•(n2))+3n)+(2n3-4))+(3n2-2n)
STEP 3:Equation at the end of step 3:
((22n2 + 3n) + (2n3 - 4)) + (3n2 - 2n)
STEP 4:Checking for a perfect cube
4.1 2n3+7n2+n-4 is not a perfect cube
Hi. I need help with this questions.
See image for question
Answer:
p = 3, q = 2/3, r = 14/3Step-by-step explanation:
Given equationy = 3x² - 4x + 6To findThe constants p, q, r when
3x² - 4x + 6 = p(x - q)² + rSolutionThe least value is at vertex of the parabola ax² + bx + c, with positive a
x and y -coordinates of the vertex is:
x = -b/2a = - (-4)/(2*3) = 2/3y = 3(2/3)² - 4(2/3) + 6 = 3(4/9) - 8/3 + 6 = 4/3 - 8/3 + 6 = 14/3The vertex form is:
y = a(x-h)² + k, where (h, k) is the vertexApplying the same formula to our equation:
3x² - 4x + 6 = 3(x - 2/3) + 14/3The constants p, q and r are:
p = 3, q = 2/3, r = 14/3What is the equation of the vertical asymptote of h(x)=6log2(x−3)−5?
X=
Answer:
3
Step-by-step explanation:
i just took the test and put 2 and that was wrong
Solve x and y. Plz show work
Answer:
y = 72°, x = 36°
Step-by-step explanation:
Step 1:
2x + 3x = 180° Supplementary ∠'s
Step 2:
5x = 180° Combine Like Terms
Step 3:
x = 180° ÷ 5 Divide
Step 4:
x = 36°
Step 5:
3x + y = 180° Supplementary ∠'s
Step 6:
3 ( 36 ) + y = 180° Input x value
Step 7:
108° + y = 180° Multiply
Step 8:
y = 180° - 108° Subtract
Answer:
y = 72°, x = 36°
Hope This Helps :)
A fruit punch recipe uses 3/4 cup of carbonated water for every 5 cups of fruit juice. Andy has only 4 cups of fruit juice. To make the same fruit punch, how much carbonated water should Andy use?
A) 3/5 cup
B) 3/10 cup
C)2/3 cup
D) 2/5 cup
Answer:
3/5 cup
Step-by-step explanation:
I start by changing the initial fraction of 3/4 into its decimal form of .75 so that it's easier to divide. I then divide it by 5 to find how much carbonated water you should use for a single cup of juice, which is .15 cups. Then, I multiply .15 times 4, which comes out to be .6, or 3/5.
Answer:
3/4 cups of carbonated water is needed by Andy to prepare 5 cups of fruit juice that means that he uses
(3/4)/5 = 3/20 cups of carbon. water for one cup of fruit juice for 4 cups he has to use (3/20)4=12/20
or 3/5 cups of carbonated water or in decimal form 0.6 cups
Step-by-step explanation:
There u go
whats 3 2/5 divided by 3 1/6?
Answer:
3 2/5 divided by 3 1/6 = 106/95 = 1 11/95
Step-by-step explanation:
3 2/5 divided by 3 1/6 =
17/5 divided by 19/6 =
17/5 x 6/19 =
106/95 =
1 11/95
Multiply 2 1/2 x -4 3/5
Plz help
Answer:
Step-by-step explanation:
2 1/2* -4 3/5=
5/2*-23/5
-23/2 or -11 1/2
The weight of infants follows a bell-shaped distribution with mean 7.5 pounds and standard deviation 1.75 pounds. A baby born two weeks early has a standardized score of –1.5. What is the baby’s actual weight? Round your answer to the nearest hundredth.
The baby weighed _____ pounds at birth.
Answer:
4.88
Step-by-step explanation:
Answer:
The person above me is right, they deserve brainliest.
It is 4.88
ED2021
Unit rate for 321.5 miles in 5 hours
Answer:
64.3 Per hour
Step-by-step explanation:
If you divide 321.5 miles by 5 you get 64.3 per hour and to check you could times 64.3 by 5 to get 321.5
321.5 / 5 = 64.3
64.3 x 5 = 321.5
ROC and intro to slopes guided notes:
This graph represents the linear relationship between time and distance for both Car 1 and Car 2.
Slope of Car 1 = 1 Speed of Car 1 = 1 mi
min
Speed of Car 2 = 1 mi 2 min
How can you determine by looking at the graph which car is moving at a faster rate? The the line, the the slope.
Car 1 is moving at a speed than car 2.
Answer:
Step-by-step explanation:
The steeper the line (graph), the greater the slope and the greater the speed of that particular car. It is instantly obvious that of the two lines shown, the yellow graph has the greater slope and thus the greater speed.
"The steeper the line, the greater the slope(speed). "Car 1 is moving at a speed than car 2."
Answer:
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Step-by-step explanation:
The environment club is having a trash pickup day. There are 130 people signed up to help. For the trash pickup day they will work in 4 people . No more than 4 people can join a group. How many groups are there? Explain how you interpreted the remainder.
Answer: 33 groups
Step-by-step explanation:
Number of people that signed for help = 130 people
Number of people that can join a group = 4.
Number of groups that will be formed will be:
= Number of people that signed for help / Number of people that can join a group
= 130/4
= 32.5
= 33 groups
Since there'll be a remainder of 2 people, they will form a new group making 33 groups.
HELP ME PLEASE!! <3
Answer:
Y = 2x + 4
Step-by-step explanation:
The slope (rise / run) is 2 and the y-intercept is 4.
Hope this helps. Pls give brainliest.
8n-10=30 hheellppppp
Answer:
8n-10=30 n=5
8n-10=30 n=5
Answer:
8n-10=30
n=5
8(5)-10
40-10=30
n=5
9 1/5 into an improper fraction
Answer:
46/5 hope it helps!
Step-by-step explanation:
9x5= 45
45+1= 46
46/5
Please help I’ll give brainiest
its an obtuse angle so each equation should equal 180
Hint: (9y+7) = 180 and (2y+98) = 180
hope this helps pls mark me brainliest
A circular garden has a radius of 3 meters. What is the area of the garden? Write your answer using π. Show your work.
Answer: 9[tex]\pi[/tex]
Step-by-step explanation:
Sorry the pi sign looks weird. The formula for area of a circle is [tex]a=\pi r^2[/tex], so we have to substitute the radius with 3. The square of 3 is 9, so the answer is 9pi.
A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an equation that represents this solution.
Answer: [tex]2x^2-7x=72[/tex] , where x= width of the rectangle ( in inches).
Step-by-step explanation:
Let x= width of the rectangle ( in inches).
Then its length = 2x-7 ( in inches).
Area of rectangle = Length × width
= (2x-7) × (x)
= 2x × x -7 ×x
= 2x²-7x
The area of the rectangle is 72 square inches.
[tex]\Rightarrow\ 2x^2-7x=72[/tex]
Hence, the equation that represents the given situation :
[tex]2x^2-7x=72[/tex]
What is 60% of 90? *
Answer:
54
Step-by-step explanation:
You can use the short cut 0.6 * 90 ( * is another symbol for the multiplication symbol) this works differently for different numbers. If your percent is one digit, like 3%, you want to change it into the decimal 0.03. The reason why you multiply them together is because “of” is another word for multiply in math terminology.
Change to an algebraic expression
Half the sum of p and 9
Step-by-step explanation:
1/2 × (p+9) is the algebraic expression.
In writing a word phrase from an equation, there is only one correct way to do it.
true or false?
Answer:
False
Step-by-step explanation:
How would you find the area of this circle?
9 cm
Answer:
answer C
Step-by-step explanation:
Answer:
opt B
Step-by-step explanation:
A=pi times radius squared
A=pi times 4.5 squared
4.5 is half of 9
proof 9/2
What is the slope of the line represented by the equation 3x+2y=6?
SLOPE: negative slope
ANSWER: x = -2/3y + 2
hope this helped