Given:
Points A(-2,-1) and B(-6,5).
Point C which is 2/3 from point A to point B.
To find:
The y-coordinate of point C.
Solution:
Let the coordinates of point C are (a,b).
Point C which is 2/3 from point A to point B.
AC:AB = 2:3
AC:CB = AC:(AB-AC) = 2:(3-2) = 2:1
Section formula: If a point divides the line segment in m:n, then then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point C divides AB in 2:1, soby section formula
[tex]C=\left(\dfrac{2(-6)+1(-2)}{2+1},\dfrac{2(5)+1(-1)}{2+1}\right)[/tex]
[tex]C=\left(\dfrac{-12-2}{3},\dfrac{10-1}{3}\right)[/tex]
[tex]C=\left(\dfrac{-14}{3},\dfrac{9}{3}\right)[/tex]
[tex]C=\left(\dfrac{-14}{3},3\right)[/tex]
Therefore, the y-coordinated of point C is 3.
Write the decimal expansion for 5/6.
Answer:
≈ 0.8333333333333
Step-by-step explanation:
Since anything divided by 6 is a repeating decimal, we know it will go on forever.
Answer:
0.8333333333333
Step-by-step explanation:
:)
Which list of fractions is in order from smallest to largest? A.1/2, 1/6, 1/3, B. 1/6, 1/3, 1/2, C. 1/6, 1/2, 1/3 D. 1/3, 1/3, 1/6
Answer:B 1/6,1/3,1/2
Step-by-step explanation:
1/6= 0.167, 1/3= 0.33, 1/2= 0.5
I'm sure that the answer is B. 1/6, 1/3, 1/2 :)
A girl is 30 months old . What is her age in years and months
Hey there!
[tex]Answer:\boxed{\text{2 years and 6 months}}[/tex]
[tex]Explanation:[/tex]
[tex]30\text{ months}=2.5\text{ years}=2\text{ years}\text{ and }6\text{ months}[/tex]
[tex]\boxed{\text{2 years and 6 months}}\text{ is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
what is a perfect square trinomial and can you provide an example
A perfect square trinomial is a trinomial that factors as two identical binomials.
For example, x² + 8x + 16 factors as (x + 4)(x + 4) or (x + 4)².
Another example would be x² - 12x - 36 which factors as (x - 6)².
9. The sum of two consecutive integers is 41 less than
four times the larger. Find the numbers.
Answer:
19 and 20
Step-by-step explanation:
Let x be the larger number
x - 1 + x = 4x - 41
We can combine like terms and isolate x:
2x - 1 = 4x - 41
2x = 40
x = 20
20 - 1 = 19
WILL GIVE BRAINLIST!
The options in the select area are Add and subtract Multiply Addition and Subtraction properties of equality Descriptive Property
You have a wooden rod which is 24 1/2 inches long. Carlos needs a piece which is 8 3/4 inches long and Amanda needs a piece which is 6 3/8 inches long. How long will the rod be after you cut those pieces to give to Carlos and Amanda?
Answer:
8 3/4 inches
Step-by-step explanation:
Total length of the rod = 24 1/2 inches
Carlos = 8 3/4 inches
Amanda = 6 3/8 inches
length of the rod remaining = Total length - ( Carlos + Amanda)
= 24 1/2 - (8 3/4 + 6 3/8)
= 49/2 - (35/4 + 51/8)
= 49/2 - ( 75+51/8)
= 49/2 - 126/8
= 196-126/8
= 70/8
= 8 6/8 inches
= 8 3/4 inches
Length of rod remaining = 8 3/4 inches
Answer:
9 3/8
Step-by-step explanation:
Suppose R is plotted in the above coordinate plane and is collinear with A and B. If the ratio AR: AB is 1/3, then what are the coordinates of R?
Answer:
=-4/2
Step-by-step explanation:
xp=x1 +k (x2-x1)
=-3+1/3 (2- -3)
=-3 + 1/3 (5/1)
= -3 + 5/3
= -9/3 +5/3
= -4/2
sorry it doesnt look the best :)
Answer:
(3,2.4)
Step-by-step explanation:
What is -1 29/40 as a decimal ? - show work plz:(
Answer:
Step-by-step explanation:
A mixed number is an addition of its whole and fractional parts.
−(1 + 29/40)
Add
1 and 29/40
Write 1 as a fraction with a common denominator.
−(40/40 + 29/40)
Combine the numerators over the common denominator.
−40+29/40
Add 40 and 29
−69/40
The result can be shown in multiple forms.
Exact Form:−69/40
Decimal Form:−1.725
Mixed Number Form:−1 29/40
Answer:
I DONT CARE
Step-by-step explanation:
8 mm
25 mm
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
Answer:
40 + 40 + 125 + 125 + 200 + 200 = 730
Step-by-step explanation:you need to find the area of every square/rectangle in the figure, so 2 of the shapes are 8 x 5, 2 of them are 5 x 25, 2 of them are 8 x 25 getting you 730 mm^2
Step-by-step explanation:
730mMmM
Select the three expressions below that result in a negative solution.
-4 - 15
11 + (-22)
(-3) - (-9)
7 + (-8)
(-15) + (-10)
Step-by-step explanation:
-4-1511+(-22)7+(-8)(-15)+(-10)Derek buys two submarine sandwiches for an after-school party. One sandwich is 18 inches long and the other sandwich is 12 inches long. Derek wants to cut servings of the same length from both sandwiches without having any sandwich left over. what is the greatest length serving that Derek can cut
Answer:
6 in
Step-by-step explanation:
18/3=6
12/2=6
So, total 5 pieces of 6 inches of length
Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (-4,8) and parallel to the line whose equation is 3x-8y-7=0
Step-by-step explanation:
Hey there!
The equation of a st.line passing through point is;
(y - 8) = m1(x+4).........(i).
And another equation is;
3x - 8y - 7 =0.......(ii)
From equation (ii), we get;
[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m2 = \frac{ - 3}{ - 8} [/tex]
Therefore the slope is 3/8.
As they are parallel lines, their slopes are eaual.
i.e m1 = m2 = 3/8.
Putting value of slope (m1) in equation (i).
[tex](y - 8) = \frac{3}{8} (x + 4)[/tex]
Simplify them to get equation.
[tex]8(y - 8 ) = 3x + 12[/tex]
[tex]8y - 64 = 3x + 12[/tex]
[tex]3x - 8y + 12 + 64 = 0[/tex]
[tex]3x - 8y + 76 = 0[/tex]
Therefore therequired equation is 3x - 8y +76=0.
Hope it helps...
the following data set lists average life span(in years) of 16 different animals found in Africa.
5,10,10,10,11,14,15,18,20,20,27,35,40,50
identify the following information from the data set.
mean:
minimum:
range:
median:
lower quartile(Q1)
upper quartile(Q3)
Answer:
mean: 20
minimum: 5
range:45
median:16.5
Solve for n
4 + (n + 10) = 25
Answer:
n =11
Step-by-step explanation:
solve for x by simplifying both sides of the equation then isolating the variable
How do you divide decimals.
Answer:
we need to shift decimal then divide
Step-by-step explanation:
First we move the divisor (if its a decimal) to the right until there is no more dot. If your dividend is also a decimal you also need to move it to the right how many spaces you moved the divisor's.
Example:
923.56 ÷ 4.5
This means that we move the dot between 4 and 5 once. We do the same to 923.56.
This means our division problem will be
9235.6 ÷ 45.
Now just do the problem normally as you should.
is 0.31311311131111...is it a rational or irrational?
y = 1/3x + 5 m b = (0, )
Answer:
5
Step-by-step explanation:
When we have an equation in slope-intercept form, it's put in the form
[tex]y = mx+b[/tex]
Where m is the coefficient (the slope) and b is the y-intercept.
Since we are trying to find the y-intercept based on this equation (that's why it says [tex]b=[/tex] ), we can use the equation to find the y-intercept.
The slope is [tex]\frac{1}{3}[/tex] since that's the coefficient next to x.
The constant being added is 5, therefore this is the y-intercept.
Hope this helped!
is all negative numbers intergers ?
Answer:
Yes. Intergers are all whole numbers so negative whole numbers are included too.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
because an integer is all whole numbers and their opposites
I need help fast,zoom in to se it better
Point K on the number line shows Kelvin's score after the first round of a quiz: In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Complete question :
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answer: 3 + (−9) = −6, because −6 is 9 units to the left of 3
Step-by-step explanation:
Given the following :
Width of number line = - 10 to + 10
Point K on the number line = +3 ( kelvin's score after the first round of quiz).
If Kelvin losses 9 points in round 2 = - 9
Hence at the end of round 2, He'll have a total of :
Point at the end of round 1 + point lost in round 2
3 + (-9) = - 6
-3 x -6 = 9
[tex] - 3 \times - 6[/tex]
3 × 6 = 9
negative times a negative equals a positive so it would be positive 9 not negative 9
Porfavor alguien me dice cuanto es esto 3×?=20
Answer:
6.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
Que no se te olvide el punto
Answer:
es imposible
Step-by-step explanation:
3x7=21
se va por uno
May someone pls help :) x(y+4) x=5 and y=2
Answer:
30
Step-by-step explanation:
x(y+4) x=5 and y=2
so substitute the values for the variables
5(2+4)
Order of Operations : Parentheses first
5(6)
=30
or distributive property
5(2) +5(4)
10+20
=30
You get the same answer anyway.
Hope this helped :)
What is the perimeter of a square rug to the nearest tenth if the total area of the rug is 96 feet2? Round your answer to the nearest tenth.
Answer:
PERIMETER=4a
a=side
PERIMETER=4*96
PERIMETER=384 feet square
or 384 feet square rounded to nearest tenth is 400 feet square
Step-by-step explanation:
hope it help ^_^
!!20 POINTS!!
Lucy can buy up to 12 pencils at the store. The cost of the pencils is shown in
the graph. What is the domain?
Answer:
th domain is 6$ dollar and c . all whole numbers from 0 to 12
Given two sequences
A) 3, 5, 7, 9, 11....
B) 3, 6, 12, 24...
Write the nth term of the above each sequence
Answer:
[See Below]
Step-by-step explanation:
✦ Given that [tex]y=x+2[/tex] the next numbers would be:
✧ [tex]13[/tex]
✧ [tex]15[/tex]
✧ [tex]17[/tex]
✧ [tex]19[/tex]
✦ Given that [tex]y=x+x[/tex] the next numbers would be:
✧ [tex]48[/tex]
✧ [tex]96[/tex]
✧ [tex]192[/tex]
✧ [tex]384[/tex]
✧ [tex]768[/tex]
~Hope this helps Mate. If you need anything fell free to message me.
Solve for x. 5x+4=9
Can you help me out?
Answer: x=1
Step-by-step explanation:
5x+4=9
5x=5
X = 1
Simplify (x^3/x^2)^2 . Explain your steps.
Answer:
Step-by-step explanation:
(x^3
x^2)^2
X³ )²
X²
X³*²
X²*²
X ⁶
X⁴
X ⁶-⁴ = X²
Edith ordered 588 tomatoes for the produce section. if there are 84 per crate, how many crates will she receive?
Answer:
7 crates of tomatoes
Step-by-step explanation:
588÷84=7
Answer:
7 Crates of tomatoesStep-by-step explanation:
This is a simple division problem. To find out the number of crates, we need to divide 588 by 84.
588/84 = 7
7 Crates of tomatoes___________________________________________________I AM ALWAYS HAPPY TO HELP :)