Answers
Answer:
(3, 6)
1/3
y = -3x +15
Step-by-step explanation:
you do this step by step.
just think what you need. and then you get all of that one after the other.
so, we need the middle point between D and O.
for this we need to know the length of DO.
and we need the slope of DO, so that we can then calculate the perpendicular slope. with that slope we then build the line going through the middle point as well but with the perpendicular slope.
so, length of DO.
Pythagoras for the triangle of the differences between the individual coordinates.
DO² = (9- -3)² + (8-4)² = (9+3)² + 4² = 144 + 16 = 160
DO = sqrt(16×10) = 4×sqrt(10)
the distance D-middle is half of DO = 2×sqrt(10)
DO/2 => DO²/4 = 144/4 + 16/4 = 36 + 4 = 6² + 2²
=> we have to add to the coordinates of D 6 in x and 2 in y direction to get the middle point :
(-3 + 6, 4 + 2) = (3, 6)
the slope of DO
the slope of a line is the ratio of y/x representing the change of y with the change of x. it is the factor of x in the line equation.
for DO we know that when x changes by 12 (difference of the x values of D and O), then y changes by 4.
so, the slope is 4/12 = 1/3.
perpendicular slope of 1/3
we flip x and y and also change the sign, as when the original line goes up, then the y line goes down. and vice versa.
so, the perpendicular slope is -3/1 = -3
the equation of the perpendicular line through the middle point is
y = -3x + c
for c we need to use the coordinates of the middle point (3, 6)
6 = -3×3 + c
6 = -9 + c
c = 15
so our line is
y = -3x + 15
Related Questions
Dane sold a television for$35000 He was paid paid $1,750 in commission for his sale. At what rate was he paid commission for the television?
Answers
Which of the following is an equation of the line that passes through the point (-2,3) and is perpendicular to the graph of the equation y = 3x - 2?
Answers
Answer:
y = -1/3x + 7/3
Step-by-step explanation:
A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.
Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.
3 = -1/3 (-2) + b
9/3 = 2/3 + b
7/3 = b
Now we can create a line in slope intercept form: y = -1/3x + 7/3
Here is Standard Form if needed: x + 3y = 7
Helppp please and thank you!!
Answers
Answer:
Step-by-step explanation:
3,-3
I need help with this I don’t understand.
Answers
Answer:
the added degree of m1 and m2 equal m4
A bank account has an initial deposit of $14,000. After 8 years, the bank account
has $18,000. Assuming that compounding interest is done annually and that no
withdrawals are taken, find the annual interest rate on the investment. If the interest is compounded annually what is the approximate interest rate on the investment?
Answers
Answer:
2.3%
Step-by-step explanation:
18000 = 15000( 1 + i)^8
Divide both sides by 15000
1.2 = (1 + i)^8
Take both sides to the 1/8 power
1.2^(1/8) = 1 + i
1.023051875220463 = 1 + i
Subtract 1 from both sides
i = 0.023051875220463
~ 2.3%
consider the figure below
given
m || n
m∠2=3x+53
m∠7=7x-55
what is m∠8?
Answers
Answer:
m<8 = 46°
Step-by-step explanation:
m<2 = m7 (alternate exterior angles are congruent)
Substitute
3x + 53 = 7x - 55
Collect like terms
3x - 7x = -53 - 55
-4x = -108
Divide both sides by -4
-4x/-4 = -108/-4
x = 27
m<8 + m<7 = 180° (linear pair angles)
Substitute
m<8 + 7x - 55 = 180°
Plug in the value of x
m<8 + 7(27) - 55 = 180
m<8 + 189 - 55 = 180
m<8 + 134 = 180
Subtract 134 from each side
m<8 = 180 - 134
m<8 = 46°
which of the folowing could be the equation for a parabola that opens to the left with vertex (-17, 2)
Answers
Answer:
x = a(y+17)^2 + 2 where a < 0
Step-by-step explanation:
Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.
Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.
Substituting these in, we find that the equation is
x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)
I hope this helps! :)
PLS ANSWER ASAP DUE AT 9:20
Answers
Answer:
option B
Step-by-step explanation:
[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]
On a coordinate plane, a curved line with minimum values of (negative 1.5, negative 2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4).
Which is an x-intercept of the graphed function?
(0, 4)
(–1, 0)
(4, 0)
(0, –1)
Answers
Answer:
It's (-1,0)
Step-by-step explanation:
Just did the question.
Answer:(-1,0)
Step-by-step explanation:
SOMEONE PLSSSS HELP!!!!!!!
Answers
Answer:
you can use desmos
Step-by-step explanation:
for example put x=88
and do the same with the rest
then put x+y+z and you will get your answer
Which?
A
B
C
D
Help me for 20 points!!!
Answers
Answer:
8/5
Step-by-step explanation:
7 3/10-5 7/10=8/5
Find the distance between the two points, and explain if you want to.
Answers
Step-by-step explanation:
the answer is in the above image
Write 8 as a percentage of 32
Plssss helppp
Answers
Answer:
25% of 32 is 8
Step-by-step explanation:
[tex]\frac{x}{100} * 32 = 8\\\\x = 25%[/tex]
Therefore, 25% of 32 is 8.
8 is 25% of 32.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
We know that, 8/32=1/4
in percentage form, 8 of 32= 1/4×100
=25%
Hence, 8 if 25% of 32.
To learn more on percentage click:
https://brainly.com/question/13450942
#SPJ2
can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?
Answers
Answer:
The number of the sequence are 2, 3, 6, 15
The difference between 2 and 3 is 1 i.e. 30.
The difference between 3 and 6 is 3 i.e. 31.
The difference between 6 and 15 is 9 i.e. 32.
Let the next number in the given sequence be some natural number x.
Now, following the pattern, the difference between 15 and x has to be equal to 33=27.
i.e.
x−15=27⟹x=27+15=42
Hence
The next number in the sequence is 42.
Find the equation of the line that passes through the points A (2, 3) and B (5, -7)
Answers
Answer:
10x+3y=29
Step-by-step explanation:
Given points:(x1,y1)=(2,3)
(x2,y2)=(5,-7)
We know, the equation of line passing through two points is given by,
y-y1={(y2-y1)/(x2-x1)}*(x-x1)
Hence,y-3={(-7-3)/(5-2)}*(x-2)
or,y-3=(-10/3)*(x-2)
or,3y-9= -10x+20
or,3y+10x=20+9
or,10x+3y=29 is the required equation.
3. What are the features of an Informative Text?
a. topic sentence, supporting details and clinching sentence
b. introduction, body and conclusion
c. unity, completeness, coherence and emphasis/order
d. informal and incomplete
Answers
Write an exponential function in the form y = ab" that goes through points (0,7)
and (9,3584).
Answers
Answer:
Step-by-step explanation:
I'm going to assume you meant y = ab^x. If this is not correct, leave a comment.
x = 0
y = 7
7 = a * b^0
anything to the zero power is 1
y = a*b^0
y = a*1
7 = a
So far what you have is
y = 7 * b^x
Now let
x = 9
y = 3584
3584 = 7 * b^9 Divide by 7
3584/7 = b^9
512 = b^9
If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.
So the easiest way is to find out what raised to the 9th power will equal 512
Could b = 5?
5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512
So let's try b = 3
3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.
We have just one more number that we can try.
2^9 = 512 and we have it
Answer y = 7*2^x
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answers
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
first step for solving this quadratic equation?
x2+2x-11=4
Answers
Answer:
subtract 4 from both sides
Step-by-step explanation:
Given
x² + 2x - 11 = 4
First step : subtract 4 from both sides
x² + 2x - 15 = 0 ← in standard form
Second step : factorise the quadratic
(x + 5)(x - 3) = 0 ← in factored form
Third step : equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 3 = 0 ⇒ x = 3
Fourth step : state the solutions
solutions are x = - 5, x = 3
I feel like i’m wrong lol, Correct me please.
Answers
find the measure of angle 3
Answers
Answer:
angle 3 is 87 degree
Step-by-step explanation:
-7x+191=-5x+163(they are alternte interior angle)
-7x+5x=163-191
-2x=-28
x=-28/-2
x=14
substitute the value of x in -5x+163
-5*14+163
-70+163
93
Now,
angle 3 + (-5x+163) = 180 degree (they are cointerior angles)
angle 3 + 93 = 180
angle 3 = 180-93
angle 3 = 87 degree
10. How many solutions does this system of equations have? Explain how you know.
y = -4x + 3
2x + 8y = 10
Answers
PLS HELP In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠P ≅ ___
A. ∠S
B. ∠PRQ
C. ∠T
D. ∠PQR
Answers
During which interval is the graph of the
function below only increasing?
HELLPPPPP!!!!!
Answers
Answer:
-2 < x < ఔ
Step-by-step explanation:
F’x = 3x^2 + 18x + 24
F’x = 3(x^2 +6x +8)
F’x = 3(x+4)(x+2)
One of the points of inflection will be at x = -2, and after -2 we know the equation will increase because it is positive
Insta: lankey.t
18 divided by under root 18
Answers
Answer:
18
√18
=3√2(Decimal: 4.242641)
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answers
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
geometry geometry geometry geometry geometry geometry help me pleasee
Answers
Answer:
Step-by-step explanation:
take 74 degree as reference angle
using cos rule
cos 74 =adjacent/hypotenuse
0.275=x/12
12*0.275=x
3.3=x
take 36 degree as reference angle
using sin rule
sin 36=opposite/hypotenuse
0.587=x/11
0.587*11=x
6.457=x
6.5=x
take 39 degree as reference angle
using tan rule
tan 39=opposite/adjacent
0.809=13/x
x=13/0.809
x=16.06
x=16.1
take 16 degree as reference angle
using tan rule
tan 16=opposite /adjacent
0.286=x/14
0.286*14=x
4.00=x
4.0=x
x=
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Whatever 2 terms you have in your equation are the ones you will use to determine Sin/Cos/Tan. For example, in question 21, the “X” was adjacent to your given angle (74°). The hypotenuse was 12, so you would use Cos since your two terms are Adjacent / Hypotenuse.
Also remember, the hypotenuse is the side opposite of the 90° angle.
The opposite side is the side opposite of the angle given (Not 90°).
The adjacent side is the side adjacent to the angle given (Also not 90°).
HURRY HELP.. whats the indicated measure
Answers
Answer:
< ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)
< ABE = 1/2 ( 38+ 180)
< ABE = 1/2( 218)
< ABE = 109
Hey, Could you help me? Thank you
Answers
Which graph shows a polynomial function of an even degree?
Answers
the answer is the first graph, A
