Given:
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).
To find:
The coordinates of point P.
Solution:
Section formula: If a point divide a line segment in m:n, then the coordinates of point are
[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get
[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]
[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]
[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]
[tex]P=\left(-1,4\right)[/tex]
Therefore, the coordinates of point P are (-1,4).
1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Using formula:
[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]
In question (1):
[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 600 + 240 \\\\= 840[/tex]
In question (2):
[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]
The 3 question is incomplete, that's why it can't be solved.
Write the equation for each graph below.
Answer:
The first one is 3x+1
The second one is 3/4x - 2
Step-by-step explanation:
Look where the line intersects then count the dots to where the next point is.
what is 7w when w means 2?
Answer:
14
Step-by-step explanation:
we know that w and 2 are the same here, so substitute w with 2: 7(2)
this means 7 times 2, and that is 14
Answer:
14
Step-by-step explanation:
If w=2
Plug in 7(2)... Multiply then you would have 14.
A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair
Answer: The price of desk is 15 and the price of the chairs 5
Step-by-step explanation:
Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form
Answer:
8/3
Step-by-step explanation:
Given that:
Cost of violin = 13200 plus VAT at 20%
Cost of violin = (100 + 20)% * 13200
Cost of violin = 1.20 * 13200 = £15,840
Instalment pay = (360 * 12) = 4320
Therefore, deposit made equals ;
Total cost - Instalment pay
£(15,840 - 4320) = £11,520
Hence, ratio of deposit made to the total Instalment payment made ;
£11520 / £4320 = 8 / 3
plzzz help me with this
Answer:
Please find attached the required flow chart proof created using Microsoft Visio
Step-by-step explanation:
The given parameters are;
[tex]\overline {BD}[/tex] bisects ∠ADC and ∠ABC
Required to proof that ΔABD ≅ ΔCBD
The two column proof is given as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline {BD}[/tex] bisects ∠ADC [tex]{}[/tex] Given
∠ADB ≅ ∠CDB [tex]{}[/tex] Definition of angle bisector
[tex]\overline {BD}[/tex] bisects ∠ABC [tex]{}[/tex] Given
∠ABD ≅ ∠CBD [tex]{}[/tex] Definition of angle bisector
[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex] [tex]{}[/tex] Reflexive Property
ΔABD ≅ ΔCDB [tex]{}[/tex] ASA
The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.
PLEASE HELP PIC DOWN BELOW 8th GRADE MATH
Answer:
A) 1/5 * 10
Step-by-step explanation:
1/5 / 1/10 = Time it will take to fill up
=> 1/5 * 10 = Time it will take to fill up
=> 1*2 = Time it will take to fill up
=> 2 = Time it will take to fill up
If my answer helped, kindly mark me as the brainliest!!
Thanks !!
HELP ASAP!!
the questions are in the picture
Answer:
1. Y≤2x-4
2. Yes, since its a solid line it includes points on the line
Step-by-step explanation:
Answer: y [tex]\leq[/tex] 2x - 4
Formula is y = mx + b
m is the slope and b is the y-intercept.
Yes its a solution because the line passes through the point (2,0).
Mark me brainllest :D
Consider the conditional statement:
"If the store has the Playstation 5 in stock, then I will buy one."
What is the conclusion of the statement?
Answer:
he's getting the ps5
Step-by-step explanation:
In conclusion if the store has the ps5 he's getting it and if not he wont
Write an equation of the direct variation (the line has a y-intercept of (0,0)) that includes the point (3,18).
Desmos Graphing Calculator
Algebra I STAAR Formula Chart
Calculator
Y=12
y = -6x
y 63
Answer:
b
Step-by-step explanation:
Match each interval with its corresponding average rate of change for q(x) = (x + 3)2. 1. -6 ≤ x ≤ 0 -1 2. -3 ≤ x ≤ -2 -3 3. -6 ≤ x ≤ -3 -4 4. -6 ≤ x ≤ -4 0 5. -4 ≤ x ≤ -3 3 6. -3 ≤ x ≤ 0 1
What is the value of the 100th term in this arithmetic sequence?
5, 7, 9, 11, ...
Answer:
the 100th term would be 193
Step-by-step explanation:
5-(n-1) times 2
5-99 times 2
5-198
193
I hope this helps
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
help me please im dumb
Answer:
I believe the answer is true.
Step-by-step explanation:
Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3
Answer:
its true.
because BEDMAS.
^
|
B( bracket )
what is the equation of a line parallel to y=4/5x+2 that passes through 1,2
Answer:
4/5x+6/5
Step-by-step explanation:
not sure but i have my ways with equations lol
(-15)(-4) help meeee
Answer:
+60
Step-by-step explanation:
This is the answer because you multiply -15 x -4 =60
because negative and negative make positive and =60
Hope this helps:)
pls mark brainly
Choose the correct solution for this equation X/2-12 = 24
Answer:
Your answer would be x = -240
Step-by-step explanation:
1. First do 2-12 to get a denominator of -10.
2. Multiply -10 on both sides to get x = 24 * -10
3. Solve 24 * - 10 to get x = -240
help plz ...............
Answer:
1.869 more miles
Step-by-step explanation:
the formula is
[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]
Answer:
1. 869 miles farther
Step-by-step explanation:
4.89-3.021= 1.869miles
Therefore, Jake went 1.869 miles farther than Tom did.
In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?
Answer:
150 degrees
Step-by-step explanation:
180-20-10
Answer:
10 degrees
Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.
pls :,) i suck at math
Answer:
60%
Step-by-step explanation:
The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:
10 to 6.
Percentages are typically x% out of 100, so if you multiply both by 10 you get:
100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Answer:
a i think
Step-by-step explanation:
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
Answer:
(-3,12)
Step-by-step explanation:
PLZ dont ignore me! I need help on this :(
Answer: should be the last answer! to the right.
Step-by-step explanation:
You have 30 coins and the d are dimes and q are quarters
Pls solve... will give brainliest... linear inequality
Is 9.78778777... a rational or irrational number?
The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
The given decimal number is 9.78778777....
We need to check whether the given decimal number is a rational or irrational number.
What are rational and irrational numbers?Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.
Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.
To learn more about rational and irrational numbers visit:
https://brainly.com/question/3386568.
#SPJ2
The quadrilateral is a parallelogram. Find the measure of angles 1, 2 and 3
Answer:
im pretty sure every angle is 80 degrees
Step-by-step explanation:
this is my first day in brainly, so im soo sorry if im wrong
What is -2(g+5) please help :)
Answer:
-2g -10
Step-by-step explanation:
On simplifing this expression we get,
-2(g+5)
=> -2g + (-10)
=> -2g - 10
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Answer:
-2g-10
Step-by-step explanation:
-2(g+5)
Use the distributive property to simplify the equation
(-2*g)+(5*-2)
(-2g)+(-10)
-2g-10
Hope this helps. Have a nice day. May it be filled with joy ad happiness. Please, be safe and wash your hands. Happy Holidays.
Write an equation in slope-intercept form for the line with slope −3 and y-intercept 2.
Answer: Y= -3x+2 is how you would write it according to the slope-intercept formula Y=MX+B
Step-by-step explanation: M being your slope
And B being your Y-Intercept
Kris can run 200 meters in 25 seconds at this rate how many meters can he run in 80 seconds?
Answer:
640
Step-by-step explanation:
200 divided by 25 = 8
which means Kris can run 8 meters per second. 8 times 80 equals 640.
Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Find the shortest distance from point A to the given line.
y = 3x +1 ; A (3,0)
What is the shortest distance from point A to the line?
Step-by-step explanation:
please i work on by paper worksheet, see it
how can i work it