Step-by-step explanation:
AC = AD result : given (Side congruence)
CB = DB result: given (Side congruence)
AB =AB result : reflexive property (side congruence)
ACB=ADB (SSS)
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?
b. If the sales tax is 6%, how much wil Veronica pay for the jeans after the discount and
taxes?
Answer:
a- $37.50
b- $39.75
Step-by-step explanation:
Hope this helped!
Answer:
a) 37.5
b) 39.75
Step-by-step explanation:
a) 50 (price of jeans) x 0.75 (amount after redution sale 100% - 25%) = 37.5
b) 37.5 (price of jeans after sale) x 1.06 (total price x 6%) = 39.75
can someone please help me out its due very soon,
Answer:
yes it is ok
Step-by-step explanation:
40 ok equate
.Write the following number in word form: 735.009
Answer: seven hundred thirty-five thousand, nine
Step-by-step explanation:
If i remember that should be the answer hope it helps
Solve. x =
A
41°
B.
C
Plz help me fast
Answer:x= 49°
Step-by-step explanation:
what are 3 decimals between 5.7 and 5.8
Answer:
5.75 , 5.76, 5.73
Step-by-step explanation:
Hope this helps!
Two customers went to the post office to buy postcards and large envelopes. Each postcard costs the same amount and each large envelope costs the same amount.
● The first customer paid $12 for 14 postcards and 5 large envelopes.
● The second customer paid $24.80 for 10 postcards and 15 large envelopes.
What was the cost in dollars of each large envelope?
1. $1.42
2. $1.15
3. $0.63
Answer:
The first one $1.42
Step-by-step explanation:
1.42x5=7.1 (cost of all envelopes)
12-7.1=4.9
4.9/14=0.35 (one postcard)
10 postcards= 3.5
1.42x15=21.3 (cost of all envelopes)
3.5+21.3=$24.80
find the slope of the line that passes through (10,6) and (2,11).
Answer:
m=−5/8
Step-by-step explanation:
what is the circumference of a circle that has a radius of 14?
I need this by today plz answer...
Answer:
C≈87.96
r Radius 14
ASAP HELP NOW FOR BRAINLIEST
Answer: 18 miles per hour
Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.
Simplify
2x( x^3-3x^2+5x-8)
Answer: =2x^4−6x^3+10x^2−16x
Step-by-step explanation:
[tex]\frac{a}{5}[/tex] + 3=8
IIIII NEEEEEEED HELLLLLLP
Answer:
-6 > -x
Step-by-step explanation:
2 < -x/3
Multiply both sides by -3. Flip the sign because we are multiplying by a negative.
Solution:
-6 > -x
4/5 divided by 2/3 PLEASE HELP
Answer:
6/5
Step-by-step explanation:
4/5 x 3/2 = 12/10 = 6/5
Find the slope of the line through each pair of points.
1. (19, -16), (-7, -15)
2. (-4, 7), (-6, -4)
3. (20, 8), (9, 16)
Step-by-step explanation:
1)
[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]
[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]
[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]
[tex] \frac{ + 1}{ - 23} [/tex]
[tex] - \frac{1}{23} [/tex]
2)
[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]
[tex] \frac{ - 11}{ - 2} [/tex]
[tex] + \frac{11}{2} [/tex]
3)
[tex] \frac{16 - 8}{9 - 20}[/tex]
[tex] \frac{6}{ - 11} [/tex]
[tex] - \frac{6}{11} [/tex]
Circumference of the circle
Step-by-step explanation:
The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.
In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)
Answer:
61.2
Step-by-step explanation:
circumference= 2πR
r=d/2
r= 19.5/2
r=9.75
circumference= 2×3.14×9.75
circumference= 61.2
8. Find the x and y intercepts. 6x + 12y = 24
Answer:
x - intercept: 4
y - intercept: 2
Step-by-step explanation:
The way you find the x-intereceppt is to pretend that the 12y isnt there. Therfore making the equation 6x=24. Then 24 divided by 6 equals 4.
The same thing but for the y-intercpt. Take away the 6x making the equation 12y=24. 24 divivded by 12 equals 2.
Solve the given quadratic equation 2x2 + x + 1 = 0.
anyone over here who is a half Korean lol
have a great day
Answer:
2×2+x+1=0
4+x+1=0
5+x=0
x=-5
4x+1 = 13 what number x
would make the equation true
Answer:
3
Step-by-step explanation:
Shelly is hiking alongs a 20 miles trail in the mountains. She had already traveled 8 miles and is walking at 3 miles per hour. How long will it take to reach the end of the trail
Write and equation with x as the number of hours it will take to reach the end.
How many hours will it take for Shelly to reach the end of the hiking trail?
Answer:
8+3x=20
4 hours
Step-by-step explanation:
8+3x=20
3x=12
x=4
On Saturday, you bowl at Show Place Lanes, where renting shoes costs $3 and each game bowled is $4.50. On Sunday, you bowl at Pinz where the shoe rental is $6 and each game bowled is $3. If you spent the same amount each day, how many games, g, were bowled?
Answer:
x=2
2 games.
Step-by-step explanation:
3 + 4.50x = A
6 + 3x = A
3 + 4.5(2) = 12
6 + 3(2) = 12
Find the answer when you substitute the letters with k = 14 and d = 5 in the equation. -5d - 7k.
Answer:
-123
Step-by-step explanation:
Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).
-5*5=-25.
-7*14=-98.
-25-98=-123.
You can use this method to solve other problems in the future hope you find this helpful. : )
HElp wHat iS iT!?!?!??!
Answer:
a
Step-by-step explanation:
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
What is Abigail’s greatest possible age?
Give your answer as a whole number of years.
Answer:i i think Brenda 10
Step-by-step explanation:
Age problems are the algebra word problem which deals with the ages of people in the present time.
Given information-
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
Age problemsAge problems are the algebra word problem which deals with the ages of people in the present time.
Suppose Abigail is A, Brenda is B and Carly is C years old.
As Abigail is 5 years older than Brenda. Thus,
[tex] A=B+5[/tex] .... 1
As Brenda is twice as old as Carly. Thus,
[tex]C=\dfrac{B}{2} [/tex] ..... 2
As the total of their ages is less than 40.
[tex]A+B+C=40[/tex]
Keep the values of A and C from the equation 1 and 2 in the above equation,
[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]
Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,
[tex]A=14+5\\ A=19[/tex]
Thus the Abigail is 19 year old.
Learn more about the age related problem here;
https://brainly.com/question/91727
there are four children in Jana's family. She is less than 11 years old and is the oldest. there's a two-years age difference to twins, riya and seta, who come next. yuvi who is older than 5 is 2 years younger than the twins. how old are each of the children?
Answer:
Jana=10, twins=8, yuvi=6
Step-by-step explanation:
it's the only possible answer,as we know yuvi is older than 5 so let's just say she is 6 then the twins are 2 years older=8 and we know that and is less then 11 so that would be 10
what does 58x9234=????
Answer:
535572
Step-by-step explanation:
Np just for a friend
Is the function f(x)=
–
2
7
+
1
8x
linear or nonlinear?
Answer:
as long as the equation has no exponents or square roots it is linear
Step-by-step explanation:
Which is bigger 1 2/7 or 1 7/20?
Answer: 1/27 is greater than 1 7/20 I believe.
4x-5y+30=0 in slope-intercept form
Answer:
y=4/5x+6
Step-by-step explanation:
Hideki buys 2 sweaters for $18 each. He can use one of the following coupons:
Coupon 1: Buy one, get one 40% off
Coupon 2: 25% off entire purchase
Which coupon should Hideki use to get a better deal? Use the drop-down menus to show and explain your answer.
Choose...
is a better deal. Coupon 1 would result in a total cost of
Choose...
. Coupon 2 would result in a total cost of
Choose...
.
Answer:
Choose... Coupon 2
Coupon 2 is a better deal becausse Coupon 1 would result in a total cost of $25.2
Coupon 2 would result in a total cost of $6.5
Choose Coupon 2
Step-by-step explanation:
Coupon 1: 18+(18x0.4) =
Coupon 2: 18+18=26 26x0.25=6.5
Answer:
Coupon 2
Step-by-step explanation: