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].
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:
Help!! 10 pts and brainliest!
Answer:
99 square units
Step-by-step explanation:
The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.
Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.
original area = 11 square units
scaled area = 9 * 11 square units = 99 square units
HElp wHat iS iT!?!?!??!
Answer:
a
Step-by-step explanation:
true or false im dumb sorry
Answer:
False
Step-by-step explanation:
Tell me if you need an explanation
Answer:
it's false.
4×4×4= 64.
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
Which is bigger 1 2/7 or 1 7/20?
Answer: 1/27 is greater than 1 7/20 I believe.
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. : )
Solve. x =
A
41°
B.
C
Plz help me fast
Answer:x= 49°
Step-by-step explanation:
100 points please help
Answer:
She has $3.74 in quarters. I'm kind of confused but hopefully this helps??
Step-by-step explanation:
0.75 x 5= $3.75
$3.75/0.25= 15 quarters
Answer:
l
Step-by-step explanation:
In ΔMNO, m = 89 inches, n = 30 inches and o=71 inches. Find the measure of ∠M to the nearest degree.
Answer:118
Step-by-step explanation:
Trust me
In triangle MNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
To find the measure of angle ∠M, we need to use the law of cosines, which states that:
c² = a² + b² - 2ab cos(C)
To find ∠M, which is opposite to side m, so we can use the law of cosines as follows:
m²= n² + o² - 2no cos(∠M)
Substituting the given values, we get:
89² = 30² + 71² - 2(30)(71) cos(∠M)
Simplifying and solving for cos(∠M), we get:
cos(∠M) = (30²+ 71² - 89²) / (2(30)(71))
cos(∠M) = -0.4402
To find the measure of ∠M, we need to take the arccosine of cos(∠M) using a calculator:
∠M = 118.7 degrees
Hence, in ΔMNO, m = 89 inches, n = 30 inches and o=71 inches then the measure of ∠M is 118.7 degrees
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
what does 58x9234=????
Answer:
535572
Step-by-step explanation:
Np just for a friend
Just need help with 6 please
Answer:
Congruent, SSS
Step-by-step explanation:
The dashes on the sides of the triangles represent that the corresponding lengths of the triangles are equal in length. Since it is given that all corresponding lengths of the triangles are equivalent, the triangles are congruent by the SSS (side, side, side) test.
Hope this helps :)
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.
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]
find the slope of the line that passes through (10,6) and (2,11).
Answer:
m=−5/8
Step-by-step explanation:
Are 5 and 0.5 Equal to Each other?
Answer:
no
Step-by-step explanation:
5 is a whole number 0.5 doesn't equal to 1 it is half of 1
can someone please help me out its due very soon,
Answer:
yes it is ok
Step-by-step explanation:
40 ok equate
does this graph show a function. explain how you know.
Answer:
its should be A because theres no vertical line that looks like that lol
Answer:
A. The graph fails the vertical line test, I think.
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!
4x+1 = 13 what number x
would make the equation true
Answer:
3
Step-by-step explanation:
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
13. Puan Zakiah bought a house at price RM380 000 by cash. After 5 years, she sold the house at price RM620 000. The total charges involved in sales and purchase agreement
was RM42 000. Calculate the return on investment of Puan Zakiah.
A 49.5%
C 56.9%
B 52.1%
D 74.2%
[tex]\frac{a}{5}[/tex] + 3=8
4x-5y+30=0 in slope-intercept form
Answer:
y=4/5x+6
Step-by-step explanation:
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.
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
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
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
.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