Answers
Given:
Point C divides AB such that AC:BC=2:3.
To find:
The x-value for point C.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).
Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are
[tex]C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)[/tex]
[tex]C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)[/tex]
[tex]C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)[/tex]
[tex]C=\left(-0.6,3\right)[/tex]
The x-value of C is -0.6.
Therefore, the correct option is B.
Related Questions
A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point.
Answers
Answer:
the answer is 250
Step-by-step explanation:
Answer:
10.036
Step-by-step explanation:
Remark
Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).
At the point (0,50) draw a horizontal line to (200,50)
Join the point (200,50) to (0,0)
What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.
That angle is the same as the angle of elevation.
The horizontal line is 200 feet.
The vertical line is 50 feet
Formula
Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25
Solution
tan-1(0.25) = 14.036
Conclusion
The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation. so the angle you found and the angle of elevation are the 2 angles defined by the z.
In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly
Answers
Answer:
The original number is 572.
Step-by-step explanation:
Let the 3 digit number by xyz.
Where x is the hundreds digit, y is the tens digit and z is the units digit.
Hence, the digit is (100x + 10y + z).
From the question, the tens digit equals to the sum of the hundreds digit and the units digit.
That is,
y = x + z ...... (1)
Also, from the question, the hundreds digit of this number is 3 more than the units digit.
That is,
x = z + 3 ...... (2)
Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number
If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).
the new number is 11 less than half of the original number
That is,
(100z + 10y + x) + 11 = 1/2(100x + 10y + z)
This becomes
200z + 20y + 2x + 22 = 100x + 10y + z
200z - z +20y -10y +2x - 100x = -22
199z + 10y -98x = -22 ...... (3)
Solving the equations simultaneously,
Put the value of x in equation (2) into equation (1)
x = z + 3 ...... (2)
y = x + z ...... (1)
That is,
y = (z+3) + z
y = 2z + 3 ...... (4)
Put the value of y in equation (4) into equation (3)
199z + 10y -98x = -22
199z + 10(2z +3) -98x = -22
199z + 20z + 30 -98x = -22
219z -98x = -22-30
219z -98x = -52 ...... (6)
Put the value of x in equation (2) into equation (6)
219z -98(z+3) = -52
219z -98z -294 = -52
121z = -52 + 294
121z= 242
z = 242/121
∴ z = 2
Put the value of z into equation (2)
x = z + 3
x = 2 + 3
∴ x = 5
Put the values of z and x into equation (1)
y = x + z
y = 5 + 2
∴ y = 7
Hence, x = 5, y = 7 and z = 2.
Recall that the original number is 100x + 10y + z.
100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572
Hence, the original number is 572.
What two things do you NEED to write an equation in point-slope form?
Answers
Answer:
a letter or a word of any kind
Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form
Step-by-step explanation:
-21+(-59) what is the answer
Answers
Answer:
-80
Step-by-step explanation:
who was the president before obama
Answers
Help please i dont get thiss
Answers
Answer:
4/6
Step-by-step explanation:
just keep in multiplying the fraction upp and down
4/6
Explanation:
You can multiple the numerator and denominator by the same factor. In this case you can multiply 2/3 by 2 and get 4/6.
WILL GIVE BRAINLIEST
Answers
Answer:
the answer is A
Step-by-step explanation:
4. 8(0 - 9) = 6(2 - 12) - 40
Answers
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Write the equation y = mx + b of a line given two points.
Ex 1.(3,3) and (4,-2)
Ex 2. (4,1) and (6,2)
Answers
Answer:
Ex 1. y= -5.00x + 18.00 Ex 2. y= 0.50x + -1.00
Step-by-step explanation:
(results are in decimal form, rounded to the nearest 100th)
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
Answers
In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the
90% confidence interval for the population proportion, p?
Answers
Answer:
-0.0081<p<0.4081
Step-by-step explanation:
Using the formula for calculating the confidence interval expressed as;
CI = p±z√p(1-p)/n
p is the proportion = x/n
n is the sample size
x is the amount that are left-handed
p = 2/10
p = 0.2
z is the z score at 90% CI = 1.645
Substitute the values into the formula;
CI = 0.2±1.645√0.2(1-0.2)/10
CI = 0.2±1.645√0.2(0.8)/10
CI = 0.2±1.645√0.16/10
CI = 0.2±1.645√0.016
CI = 0.2±(1.645*0.1264)
CI = 0.2±0.2081
CI = (0.2-0.2081, 0.2+0.2081)
CI = (-0.0081, 0.4081)
hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081
He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write the answer without exponents.
Answers
Answer:
5535383.47 units
Step-by-step explanation:
Given that,
The national dept of a country = 298,800,000,000,000
Population of the country = 53,980,000
We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.
[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]
Hence, the debt per person is 5535383.47 units.
7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.
Answers
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
Given:
AB ≅ CD
To prove :
ΔABC ≅ ΔCDA
Statements Reasons
1). AB ≅ CD 1). Given
2). AC ≅ AC 2). Given
3). ΔABC ≅ΔCDA 3). HL property of congruence
Therefore, Option (B) is the correct option.
Answer:
the answer is aas
Step-by-step explanation:
im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answers
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way
Which type of transformation is shown?
T
s
S'
R
R'
T'
Q'
a
b
С О СО
reflection
rotation
dilation
translation
с
Answers
Answer:
Looks like rotation to me♀️
If you flip the top rectangle over downwards, the results you would get will be the same as the rectangle shown underneath.
The Q and R would switch places, and T & S would switch places.
Think about the reflection of your hands. (I don’t know if you could see that emoji... if you can’t, just place your hands side ways. It’s a reflection of one another)
CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME
Answers
Answer:
2. 2/1 is the ratio of seltzer to juice. It means that there is twice as much seltzer as there is juice.
3. (2,4) represents the amount of seltzer and juice. At this point there are 4 cups of seltzer, and two cups of juice.
4. (1,2) can be used to find the constant of proportionality and slope.
5. y=2x
6. y=2*15
y=30
Step-by-step explanation:
If you need explanations for any of these let me know, and I'll add them.
PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2
Answers
Answer:
13.5π in2
Step-by-step explanation:
just took the quick check
list the points in a graph of f where f(x)= -2
equations is f(x)= 3x²-x-2
Answers
Answer:
(0,-2), (1/3,-2)
Step-by-step explanation:
jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.
Answers
Answer:
157
Step-by-step explanation:
Answer:
can you explain what two number you added to get that number "157"
Step-by-step explanation:
Consider the rectangle.
4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4
Answers
Answer:
[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]
☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]
☥ Which pair of expressions represents the area of the rectangle?
☐ 2(x + 1) + 2 (4) and 2x +9
☐ 2(x + 1) +2 (4) and 2x + 10
☐ 4(x + 1) and 4x + 1
☑ 4(x + 1) and 4x + 4
☪ [tex] \underline{ \text{Given :}}[/tex]
Length of a rectangle ( L ) = 4Breadth of a rectangle ( B ) = x + 1☪ [tex] \underline{ \text{To \: Find} : }[/tex]
Pair of expressions which represents the area of the given rectangle☪ [tex] \underline{ \text{Solution}} : [/tex]
❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]
↦ [tex] \sf{4 \times (x + 1)}[/tex]
↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]
Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].
Hence , the right answer is of last option { i.e 4 ( x + 1 ) and 4x + 4 } .
And we're done !
Hope I helped!!
♡ Have a wonderful day / night ツ
~ [tex] \text{TheAnimeGirl}[/tex] ♪
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Here are recipes for two mixtures of salt and water that taste different. a) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. b) Which mixture tastes saltier? Explain how you know.
Answers
Answer:
DrPepper is a carbonated soft drink. It was created in the 1880s by pharmacist Charles Alderton in Waco, Texas, and first served around 1885. Dr Pepper was first nationally marketed in the United States in 1904 and is now also sold in Europe, Asia, North and South America, and Australia, as well as New Zealand and South Africa as an imported good. Variants include Diet Dr Pepper and, beginning in the 2000s, a line of additional flavors.
Step-by-step explanation:
Answer:
All sound really freaking salty. And rule out the 3rd option cause that uses more water to salt than any. The saltiest would be Choice a, because, the other options have more water to salt than choice a.
Step-by-step explanation
My grammarly says this writing sucks.....hope it doesnt for you. Best i can explain
Evaluate the following for f(-2)
F(x)=3x+2
Answers
Answer:
f(-2) = -4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x + 2
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2) + 2Multiply: f(-2) = -6 + 2Add: f(-2) = -4Answer 4
Step-by-step explanation:
3(-2)= -6
-6+2= -4
PLEASE ANSWER THESE FOR GOD SAKE IF YOU DONT KNOW THEN DONT ANSWER PLEASE. Giving up all my points.... I only had 28
Answers
Answer:
d. y=2x-8
b. y=3/4x-1 & y=-4/3x+9
Step-by-step explanation:
I used desmos and put in all of the answer options to see which one worked the best.
What are the gradients (slopes) and y-intercepts of these lines, please?
Answers
Answer:
a. gradient 4
b. gradient 3
c. gradient 1
d. gradient 1
e. gradient -2
f. gradient 3
Step-by-step explanation:
to find y intercept substitute x to be 0
i.e y=3x
y=0
find the images of the following under thr reflection aboit x_axies a(2,_3)
Answers
Answer:
that not a full question I cant answer that.
HELP MEEE!
7th grade mathhhh
Answers
Answer: Its C
Step-by-step explanation:
Since 2/3 and 1/5 are smaller than 1 but bigger than 0 they will be in between 0 and 1.
2/3 is closer to 1 and 1/5 is closer to 0
Jenny made 520 walnut biscuits. This is 40% of the total number of biscuits that she made. How many biscuits did she make in all?
Answers
she made 1300 biscuits
Which expression is NOT equivalent to 6 × 14?
Answers
Answer:
D
Step-by-step explanation:
10(40)= 400
6(400)= 2,400
6(14)= 84
Therefore they are not equal.
Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. The gift he wants to buy costs $110. Will Ian have enough money? Explain.
Answers
Answer:
Ian will have enough money to buy the giftStep-by-step explanation:
Step one:
given
monthly allowance= $21
from January to June= 6 months
total savings = 21*6= $126
cost of gift = $110
Step two:
Ian will have enough money to buy the gift
since he saved $126 which is greater than the cost of the gift of $110
he would have a balance of $16
Which expression is equivalent to -3(4x - 0.50)?
A. -12x - 1.50
B. -12x + 1.50
C. -12x - 2.50
D. -12x - 3.50
Answers
Answer:
It's the B
Step-by-step explanation:
Multiply - 3 by 4x = - 12x
Multiply - 3 by - 0.5 = 1.5
Hope this helps, have a good day
