Answer:
The slope of the line is m=−1.
The equation of the line in the slope-intercept form is y=−x+5.
The equation of the line in the point-slope form is y−3=−(x−2).
The equation of the line in the point-slope form is y−5=−x.
The general equation of the line is x+y−5=0.
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)
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
Substitute 9 into each equation to determine if 9 is the solution. Drag each equation into the correct column.
Answer:
m times 3 = 27
b plus 4 = 13
p minus 5 = 4
Those can all be solved with 9
the other can not
Step-by-step explanation:
i hope this helped
Hi. I need help with these questions. (See image for question).
Answer only (e) and (f)
i solved the last 3 d is extra
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:
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:
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 the location of all the numbers??
Answer:
Item 1: -3,3.5
Item 2: -3,1
Item 3: -1,-2.5
Item 4: 2.25,-1
Answer:
item 1. (3,3.5 )
item 2. ( 3, 1 )
item 3. (-1 , -2.5)
item 4. ( 2 , -1 )
Step-by-step explanation:
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.
HELP IT"S ALGEBRA CAN SOMEONE DO THIS QUICK
Answer:
(2,2)
Step-by-step explanation:
Answer:
I would have to say D.
Step-by-step explanation:
Sorry if I'm wrong
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
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.
The function f(x) = x^3 − x + 4, in continuous in the interval [1, 2]. Find the value of ‘x' at which the function takes the value 7. (Hint: Use f(x) = 7)
Answer:
2
Step-by-step explanation:
Given the function
f(x) = x^3 − x + 4 in the interval [1,2]
We are to find the value of x for which f(x) = 7
Substitute f(x) = 7 into the expression as shown!
f(x) = x^3 − x + 4
7 = x^3 − x + 4
x^3 − x + 4 -7 = 0
x^3 − x - 3= 0
x^3 -x = 3
x(x²-1) = 3
x²-1 = 3 and x = 3
x² = 3+1
x² = 4
x = ±√4
x = ±2
Since x lies within the interval, [1,2] hence the value of x is 2
What 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
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
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 = 14/3guys what is 91u4y27i3uhn b n cnbvvfhhhhhggggggg 0fes
ok bye
Answer:cxwqashujk
Step-by-step explanation:
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
la) 43 - 2x = 11 its regular equations
Answer:
x = 16
Step-by-step explanation:
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
What's the equation of the graph shown above?
A) X= -4
B) y = 0
C) x = 2y
D) y= 5
Answer:
d
Step-by-step explanation:
Brand A cereal contains 10 cups of cereal.Brand B cereal has 30 percent more cereal in the box than brand A.How many more cups of cereal are in Brand B cereal
Answer:
3
Step-by-step explanation:
if B has 30% more than A then 1.3 multiplied by 10= 13
so B contains 13 cups
13-10 is how many more B has than A
so the answer is 3
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
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 :)
Change to an algebraic expression
Half the sum of p and 9
Step-by-step explanation:
1/2 × (p+9) is the algebraic expression.
9 1/5 into an improper fraction
Answer:
46/5 hope it helps!
Step-by-step explanation:
9x5= 45
45+1= 46
46/5
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.
how many dimes are in 16 quarters
uhh....umm 4 .....6 no 16 .....uh no carrots
Answer:
40 dimes
Step-by-step explanation:
Need help with the unit rate and questions!
HELP ME NOWWWWWsNNNNNNNNN
Answer:
h
Step-by-step explanation: