Answers
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
Related Questions
5 Which equation is equivalent to
3(2 x – 5) = 4( x + 3)?
A 2x= -27
B 2 x= 27
C 10 x=-27
D 10 x=-3
Answers
Answer:
I think its B
Step-by-step explanation:
Let's solve your equation step-by-step.
3(2x−5)=4(x+3)
Step 1: Simplify both sides of the equation.
3(2x−5)=4(x+3)
(3)(2x)+(3)(−5)=(4)(x)+(4)(3)(Distribute)
6x+−15=4x+12
6x−15=4x+12
Step 2: Subtract 4x from both sides.
6x−15−4x=4x+12−4x
2x−15=12
Step 3: Add 15 to both sides.
2x−15+15=12+15
2x=27
Step 4: Divide both sides by 2.
The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.
What is an equivalent equation?Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.
The given equation is 3(2x-5)=4(x+3).
Now, 6x-15=4x+12
6x-4x=12+15
2x=27
The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.
To learn more about the equivalent equation visit:
https://brainly.com/question/28263804.
#SPJ2
need help please
to find X
Answers
Answer:
[tex] \boxed{x = 86 \degree}[/tex]
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Answers
Answer:
third angle =180-two congruent angles. is expression.
Jesse wants to have $ 500,000 in his IRA when he retires in 40 years. He is able to invest in an IRA that will yield 2 % compounded monthly. How much will Jesse need to invest into his IRA each month to reach his goal?
P=B(r/n)/(1+r/n)^nt-1
A. $ 374.69
B. $ 436.72
C. $ 556.69
D. $ 680.79
Answers
Answer:
Your answer is D.
Step-by-step explanation:
Approximately the distance d in miles that a person can see the horizon is represented by the
equation du
where h is the height where the person is. (1mile = 1609.3 m).
4
Answers
Step-by-step explanation:
bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH
Simplify the followimg
(1 1/2) ^-2 step by step explanations plzzzzzzzz
Answers
Answer:
4/9
Step-by-step explanation:
sorry if wrong i don't know how to explain it also
Answer:
Convert 1 1/2 to an improper fraction.
3/2⋅2
Cancel the common factor of 2.
3
To rent a limousine, Theo must pay an initial fee of
$
45
in addition to
$
12
for every hour (
h
) he has the limousine reserved. To calculate the final cost (
c
), Theo wrote the following equation.
c
=
45
+
12
h
If the final bill amounts to
$
123
, how many hours did Theo have the limousine reserved
Answers
Answer:
6.5 hours
Step-by-step explanation:
123-45=78
78/12=6.5
Theo had the limousine reserved for 6.5 hours.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Theo's equation for the cost of renting a limousine is:
c = 45 + 12h
where c is the total cost,
and h is the number of hours reserved.
If the final bill amounts to $123,
we can set c equal to 123 and solve for h:
123 = 45 + 12h
Subtracting 45 from both sides:
78 = 12h
Dividing both sides by 12:
h = 6.5
Therefore, Theo had the limousine reserved for 6.5 hours.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ3
Find |14.06|= I'm having trouble with this.
Answers
Answer:
14.06
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between 0 and 14.06 is 14.06.
Answer:
14.06
Step-by-step explanation:
|14.06| means the absolute value of 14.06, which is 14.06!
Hope that helps!
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells.
Answers
Answer:
34+12x=100 12x=66 x=66/12=11/2 answer:11/2
Step-by-step explanation:
Answer:
[tex]12n+34>100[/tex]
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: [tex]12n+34[/tex]
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100.
In a basketball game, Sally is the top scorer with 35% of the team's
points. If the team scored 120 points in total, how many points did Sally
score?
Answers
Answer:
she scored 42
Step-by-step explanation:
Answer:
vyvv6
Step-by-step explanation:
6g6t5g6g66ftce6tswftzadtxevyze
An equilateral triangle has a side length of 30.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answers
Answer:
x=9
y=3
Step-by-step explanation:
since all three sides of an equlateral triangle are equal:
3x+y=30 then y=30-3x
4x-2y=30
4x-2(30-3x)=30
4x-60+6x=30
10x=90
x=9
3x+y=4x-2y
x=3y
y=3
El área cuadrada de un tablero de ajedrez mide 1681 cm².¿Cuál es la medida de cada uno de sus lados?
Answers
Los lados es = sqrt(1681)
=41cm
Yoko's fish tank has 18 liters of water in it. She plans to add 5 liters per minute until the tank has more than 48 liters. What are the possible numbers of minutes Yoko could add water?
Answers
Answer:
7 minutes, 8 minutes, 9 minutes, or more
Really any minute more than 6 should do.
Step-by-step explanation:
48 - 18 = 30
30 ÷ 5 = 6
It says the tank should have more than 48 liters, so the answer should be more than 6 minutes.
You deposit $400 Into a bank account. The account pays 2.75% annual interest compounded semi-annually. Find the balance after 5 years
Answers
Answer:
$452.56
Step-by-step explanation:
400 * 1.025^(5)
Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in simplest form.
Answers
Answer:
1 29/30
Step-by-step explanation:
First find the least common denominator of 1/6, 4/5, and 2/3. The least common denominator of that list is: 30.
So let's convert all of these fractions to a denominator of 30.
Here are the newly converted fractions:
5/30, 24/30, 20/30.
So now add all of them together. 5/30+24/30+20/30=(5+24+20)/30, which is equal to: 49/30 = 1 19/30.
Which postulate or theorem proves that triangle JHG and
triangle EFG are congruent?
•HL Congruence Theorem
• ASA Congruence Postulate
•SAS Congruence Postulate
• AAS Congruence Theorem
Answers
Answer:
The answer is AS A Congruence Postulate.
Step-by-step explanation:
Ifj. 1. what is the value of i
Answers
Answer:
i
Step-by-step explanation:
The square root of a negative number is identified as an imaginary number (i )
An imaginary number (i) with exponent 3 or any other exponent remains an imaginary number.
The answer is:
i
95 divided by 9 please helppppppp
Answers
Answer: 95 divided by 9 is 10.5 BUT WITH THE 5 REPEATING
Step-by-step explanation:
Q5) 60% of a number is 54. What is 50 % of the same?
Answers
Answer:
45
Step-by-step explanation:
we multiply 50 by 54 and divide 60 my the number you get after multiplying
so 50*54/60 that is 45
9. IS it possible to prove these triangles congruent by the HL Theorem?
Answers
Answer:
Yes, It is possible
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
PLS URGENT HELP
Answers
WILL GIVE BRAINLIEST ASAP!!
1. Determine the area and perimeter of the quadrilaterals below.
Part A:
Part B:
Part C:
(see picture)
Answers
Answer: A) 1888 B) 664.225 C)?
Step-by-step explanation:
A= 42+76(1/2) = 59
59(32)=1888
A=163/10(163/4)=664.225
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____
Answers
Answer:
$20
Step-by-step explanation:
25-5=20 that is your answer
Answer:
15 dollars
Step-by-step explanation:
84 miles in 12 days how many miles a day
Answers
Explanation: divide 84 to 12
84 / 12 = 7
Answer:
7 miles per day
Step-by-step explanation:
Solve:
84 divided by 12
Check:
12 multiplied by 7
Hope this helps!
6. If ABCD is a square and AD = 11. find each missing value.
B
BC=
mZDAB =
AC =
m2AEB =
BD =
mZCBD =
EC =
mZBAC =
D
Answers
Answer:
All sides will be 11 and all angles will be 90 degrees.
Step-by-step explanation:
As all sides of square are equal. And all angles are right angled.
Hope it helped!!
Encierra todo los números que sean menores para 25,000 003
Answers
What numbers do you have to circle that are less than 25,000,003??
What is the position
number of the term
125 in the sequence
f(n) = 2n+3?
Answers
Answer:
61st term in the sequence
Step-by-step explanation:
125 = 2n + 3
122 = 2n
n = 61
PLS HELP!! BRAINLIEST!!
Answers
Answer:
Look below :)
Step-by-step explanation:
To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 4 + 6 + 4 + 3 + 3. Which gives us 20. So for A grade, 4/20 people got it, which is 20%. We do that for the rest of them:
B = 6/20 = 30%
C = 4/20 = 20%
D = 3/20 = 15%
E = 3/20 = 15%
Now for the second question, the most is 30%, so most students got B. I hope this helps and please makr brainliest! <3
a straight line has equation 4y-5x=2 work out the gradient of this line
Answers
Answer:
gradient = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
4y - 5x = 2 ( add 5x to both sides )
4y = 5x + 2 ( divide the terms by 4 )
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form
with gradient m = [tex]\frac{5}{4}[/tex]
how do you simplify 1/5 x 22
Answers
Answer:
The person above is correct
Step-by-step explanation:
Answer: 4 2/5
Step-by-step explanation: