PLEASE HELP ASAP
A line that passes through the points (-1, -4) and (4, 2) is shown.
Which equation is the equation of the line that is perpendicular to the given line and passes through the point (-3, 7) ?
Answers
The equation of the line that is perpendicular to the line that passes through the points (-1, -4) and (4, 2): D. 5x + 6y = 27.
How to Write the Equation of Perpendicular Lines?Perpendicular lines have slopes with a product of -1, or are negative reciprocals.
First find the slope of the line that passes through (-1, -4) and (4, 2):
Slope (m) = change in y / change in x = (2 -(-4)) / (4 -(-1))
m = 6/5
The negative reciprocal of 6/5 is -5/6. This means that the perpendicular line is, m = -5/6.
To write the equation of the line that is perpendicular to the given line, substitute m = -5/6 and (a, b) = (-3, 7) into y - b = m(x - a):
y - 7 = -5/6(x - (-3))
y - 7 = -5/6(x + 3)
6(y - 7) = -5(x + 3)
6y - 42 = -5x - 15
6y = -5x - 15 + 42
6y = -5x + 27
5x + 6y = 27
The answer is: D. 5x + 6y = 27.
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Related Questions
Which of the following is a true statement?
o & >
o = }
Os <
Answers
Answer:
the last one Denise, is the only one that is true
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
How many times can 60 go in 119
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Answer:
answer is 1
Step-by-step explanation:
bcs 119 ÷ 60 is 1 remainder is 59 1.59 :)))
g Refer to the Environmental Geology (Vol.58, 2009) simulation study of how far a block from a collapsing rockwall will bounce down a soil solpe. Rebound lengths (in meters) were estimated for 13 rock bounces. The data are presented below. Consider a test of hypothesis for the variation in rebound lengths for the theoretical population of rock bounces form the collapsing rockwall. In particular, a geologist wants to determine if the variance differs from 10 m 2. 10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77 a. Specify the null and alternative hypotheses. Be sure to define the parameter used in your hypotheses. b. Compute the value of the test statistic. c. Determine the rejection region for the test using alpha
Answers
Answer:
H0 : σ² = 10
H1 : σ² ≠ 10
X² = 20.124
Pvalue = 0.064776
there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
Step-by-step explanation:
Given the data:
10.94 13.71 11.38 7.26 17.83 11.92 11.87 5.44 13.35 4.90 5.85 5.10 6.77
Using a calculator ;
The sample variance, s² = 16.77
α = 0.10
The null and alternative hypothesis :
H0 : σ² = 10
H1 : σ² ≠ 10
The test statistic :
X² = [(n - 1)*s² ÷ σ²]
s² = 16.77
n = sample size = 13 ; s²
X² = [(13 -1)*16.77 ÷ 10
X² = (12 * 16.77) / 10
X² = 201.24 / 10
X² = 20.124
The Pvalue using a Pvalue calculator ; degree of freedom (df) = 13 - 1 = 12
Pvalue = 0.064776
Pvalue < α ; Hence we reject the null
Hence, there is significant evidence to conclude that the rebound lengtb of rockfall down a slope is not 10m²
The graph of g is a translation 3 units up, followed by a reflection in the x-axis of the graph of
f(x) = 2 sin x. Which rule represents g?
Answers
Answer: NO GRAPH DUMMY
Step-by-step explanation:
Find the missing side of this right
triangle.
x
7
14
x= [?]
Enter the number that belongs in the green box.
Answers
Answer:
By Pythagoras theorem
x² = 7² + 14²
x² = 49 + 196
x² = 245
X = square root of 245
245 is number that belongs to the green box
The missing side of the right triangle is √245. The number that belongs in the green box is 245
Calculating the side length of a triangleFrom the question, we are to determine the missing side of the given triangle
The missing side of the triangle can be determined by using Pythagoras' theorem
The theorem states that, in a right angle triangle
c² = a² + b²
Where c is the length of the longest side (hypotenuse)
and a & b are the other two sides
From the given information,
Hyp = x;
Let a = 7 and b = 14
∴ x² = 7² + 14²
x² = 49 + 196
x² = 245
x = √245
Heence, the missing side of the right triangle is √245. The number that belongs in the green box is 245.
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didn't find this anywhere. it might help others too. please help
Answers
Can someone help me please???
Answers
Answer:
Ummmm. I am going to say it is the 1st one??
Step-by-step explanation:
Answer:
The last one!
Step-by-step explanation:
Jodi infested 4400 less in account paying 4% simple interest then she did in the account paying 2% simple interest. at the end of the first year, the total interest from both accounts was $592 find the amount invested in each account
Answers
9514 1404 393
Answer:
$8400 at 4%$12800 at 2%Step-by-step explanation:
Let x represent the amount Jodi invested at 4%. Then x+4400 is the amount she invested at 2%. Her total interest is ...
0.04x + 0.02(x +4400) = 592
0.06x +88 = 592
0.06x = 504
x = 8400
x +4400 = 12,800
Jodi invested $8,400 at 4% and $12,800 at 2%.
Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?
Answers
Answer:
$7.5
Step-by-step explanation:
Cost of 5 pounds of gummy
=$(4.5/3)(5)
=$7.5
proportions in similar triangles
Answers
Answer:
X=2
Step-by-step explanation:
4/6=x/x+1
cross multiply
6x=4(x+1)
6x=4x+4
2x=4
x=2
Wendy wants to run 3 miles. Each lap around the track at her school is 1··8 mile. Wendy wants to figure out how many laps she needs to run.
Answers
Answer:
1.6 laps
Step-by-step explanation:
Simply divide 3 over 1.8 to get the number of laps.
A [?] degrees
B 43°
C 15°
What is the measure of A?
Answers
please help
Find the missing side of this right
triangle.
21
х
15
X =
= V[?]
Answers
Answer:
216
Step-by-step explanation:
^
Please help me!
1. Find the coordinates of the vertices of the feasible region. Next, Find the value for R for each vertex
2. Consider the feasible region in the xy-plane defined by the following linear equalities:
X>=0
Y>=0
X<=12
X + Y >= 4
-X + 2Y <= 14
A. Find the value of Q=70x+82y for each vertex
B. What are the minimum and maximum values of the function Q on the feasible region?
Answers
−2x + 6y = 3 HOW MANY SOLUTIONS?
x − 3y = −3
The system has ....
solution(s).
Answers
Answer:
there are about 2-3 possible solution
Step-by-step explanation:
keep practicing , all will be well
Michael completed a race that is 7 kilometers long. Which distance is closest to the number of miles Michael ran? ( 1.609 kilometers = 1 mile)
Answers
Answer:
4.35 miles if rounded 4.5 miles
Step-by-step explanation:
7 divided by 1.609 sums up to 4.35052
Lee records the height of players on a basketball team, and calculates the mean absolute deviation of the set of data.
What does the mean absolute deviation of the set of data describe?
the average height of a player on the team
B the height of the tallest player on the team
the difference in height between the shortest and tallest player
D the average difference in height between each player and the mean height
Answers
Answer:
I'm pretty sure it's D
Step-by-step explanation:
Answer:D is the answer
four hundred and seventy five learners need to be transported by buses to the athletics track . How many buses are required if 65 learners can fit into each bus ?
Answers
Answer:
you are going to need 7
What equation is represented by this graph?
Answers
Answer:
y= 1.2x+1
Step-by-step explanation:
(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1
double check:
y = 1.2(-5) + 1
y = -6 + 1
y = -5
coordinates : (-5,-5)
Find the surface area of the prism.2001
1
1
.5 in.
3 in.
8 in.
Enter only the numerical value with the units of measure.
Answers
Please help i would really appricate it.
A) (5,-4)
(2,0)
(7,1)
N) (5,-4)
(2,0)
(7,1)
T) (5,-4)
(2,0)
(7,1)
Answers
A(2,0) N(7,1) T(5, -4)
<3
16. Simplify the expression.
(6 + 47) + (4 + 61)
-10 - 10
10 + 10i
201
10 - 10
Answers
4x + 7y - 3x - y show work please
Answers
Answer:
Step-by-step explanation:
4x + 7y - 3x - y
Move like terms next to each other.
4x - 3x + 7y - y
Subtract them
4x-3x= 1x or x
7y-y = 6y
So we have:
x + 6y
what number is greater than 6 but less than 7? 20 40 60 or 80
Answers
6.5 or 65 :ppppppp I get those goosebumps every time
-10a×4b+20a^2b+4ab-6ab
Answers
Step-by-step explanation:
-10a×4b+20a^2b-2ab
-40ab+20a^2b-2ab
-42ab+20a^2b Answer
I'm not sure...
I have $20 in my investment account if i save $5 each week how much money will I have in the account after 9 weeks? solve using an algebraic equation
Answers
Answer:
$135.
Step-by-step explanation:
please click the heart and rate excellent and brainleist to☻❤☺️☺️❤☻
Shamim made the model to
show multiplying a fraction by a
fraction. Which multiplication
sentence does the model show?
Answers
Answer:
C
Step-by-step explanation:
Lets look at the rows, there are 3 rows going down and there are 8 rows going across. There are 2 rows out of the 3 fully colored in so we know our first fraction would be 2/3, that way we cross out A hence it doesn't have 2/3 written in the problem. Next we check how many are shaded in in the 2 rows which is 5 and there are 8 rows going across so our answer is 2/3 x 5/8 = 5/12
The multiplication sentence which does the model show is 3/8 * 5/8=15/64, the correct option is A.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
The block diagram
Now,
10 fully shaded boxes
8 partially shaded boxes= 5/3
3 empty boxes =3/8
Multiplying both the fractions
= 3/8 * 5/3
= 15/64
Therefore, by the fraction the answer will be 15/64.
Learn more about fraction;
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Complete the table. Thanks in advance
Answers
Answer:
20%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
65.60/82.00
PLEASE HELP ME AS SOON AS POSSIBLE!!!!!! FIVE AND SIX PLEASE
Answers
Answer:
5 infinitely
6 i think its 2
Step-by-step explanation:
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answers
Answer:
angle b= 86 degrees
Step-by-step explanation:
hope this helps, have a nice day :)