Answer:
The equation of the line perpendicular to AC and passing through point B is y = -x + 4
Step-by-step explanation:
We start by finding the slope and equation of line AC
The equation of a straight line can be given as;
y = mx + c
where m is the slope and c is the y-intercept
Mathematically, the slope is given as;
m = (y2-y1)/(x2-x1)
m = (7-2)/(2-(-3)) = 5/5 = 1
So the equation becomes ;
y = x + c
We only need the slope since we are trying to get another line perpendicular to this
If two lines are perpendicular, then the product of the slopes of both lines is equal to -1
This means that m1 * m2 = -1
So this means that the slope of the perpendicular line is -1/1 = -1
Thus, the equation of the line we are finding would be;
y = -x + c
since it passes through line B, we can make a substitution of the coordinates of point B
That would be;
7 = -(-3) + c
7 = 3 + c
c = 7-3
c = 4
So the equation of that line is;
y = -x + 4 or simply y = 4-x
Find the measure of 1 can someone plz help
Answer:
4. 120
5. 20
6. 55
Step-by-step explanation:
All straight lines have a degree of 180, so the angle measures all have to add up to 180 degrees.
Answer:
4) 120°
5) 20°
6) 55°
Step-by-step explanation:
4) 180°-60°=120°
5) 180°-160°=20°
6) 90°+35 = 125°
180°-125°=55°
In the image above, find the following values:
How do you solve 2(y + 1) – 2 = 4 + 2y - y
Answer:
y=4
Step-by-step explanation:
2(y+1)-2=4+y
2y+2-2=4+y
2y=4+y
2y-y=4
y=4
Answer:
y=4
Step-by-step explanation:
So first of all you do distrabutive property when you do that you get 2y+2-2=+2y then you combine the like terms than when you do that you should get y=4
I hope this helps!
The domain of the following relation: R: {(-4, 3), (3, 6), (-2, 1), (3, 6)} is (1 point)
A.(1, 3, 6}
B.{-4, 3, -2,3)
C.{-4, -2,3)
D.No domain exists
Answer:
C. {-4, -2, 3)
Step-by-step explanation:
The domain of a relation is the x - values.
Duplicate numbers are only listed once
(-4,3)
(3,6)
(-2,1)
(3,6)
So {-4, -2, 3)
10.) What is 99 as a fraction?
Answer:
Step-by-step explanation:
Adrian can run 9 miles in 3 minutes
Answer:
ummmm cool
Step-by-step explanation:
Answer:
He's probably just an alien or somethin- i mean yea lol
Step-by-step explanation:
Under a dilation, the point (2, 6) is moved to (6, 18).
What is the scale factor of the dilation?
Answer:
The correct answer is 3
Hope this help :)
Answer:
3
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(-1,-5) and (8, -2)
The midpoint of the like segment having (-1,5) and (8,-2) as their endpoints.
Solution :-Midpoint formula :-
[tex] \bf \left( \dfrac{x_1 + x_2}{2} , \dfrac{y_1 + y_2}{2} \right)[/tex]
Here ,
x1 = -1
x2 = 8
y1 = 5
y2 = -2
[tex] \longrightarrow \dfrac{ - 1 + 8}{2} ,\dfrac{5 + - 2}{2} [/tex]
[tex] \longrightarrow \dfrac{ 7}{2 },\dfrac{7}{2} [/tex]
On a recent round of golf, Shana made par on 15 out of 18 holes. On what percent of holes did Shana make par?
Answer:
83.333333....
Step-by-step explanation:
Do 15 / 18 = .83333...
then move the decimal 2 to the right
¿Él rayo tiene dos extremos?
ASAP!!!!!!!!!!!!!!
how to I solve
[tex]y=x^{2} -5x+7\\y=2x+1[/tex]
Answer:
x = 6, and x = 1
Step-by-step explanation:
If each expression equals y, the simplest approach would be to equate them;
x^2 - 5x + 7 = 2x + 1 => Isolate all the terms on one side
x^2 - 5x - 2x + 7 - 1 = 0 => Combine like terms
x^2 - 7x + 6 = 0 => solve using quadratic equation
x = ( - (- 7) + √( - 7)^2 - 4 * 1 * 6 )/ 2 * 1
= 7 + √25 / 2 = 7 + 5 / 2
= 6
x = ( - (- 7) - √( - 7)^2 - 4 * 1 * 6 )/ 2 * 1
= 7 - √25 / 2 = 7 - 5 / 2
= 2 / 2 = 1
Please help me an thank you
Answer:
A, y = 2x - 8
D, -2x + y = 2
E, -2x + 7 = 9
A plumber charges $55 for service call, plus $35 per hour. If the plumber’s bill was $160 then how many hours was he there
Answer:
4:50 hour
Step-by-step explanation:
If it only for the hours he was there you will do 35/160 4:50
what is the decimal equivalent of 25/9
Answer:
You could write the fraction as [tex]\frac{5^{2} }{3^{2} }[/tex]
If you are looking for a decimal form then the answer is 2.77
What is the inverse of this trigonometric function?
y = sinx
y = cosx
y = arcsinx
y = arccosx
Answer:
D
Step-by-step explanation:
edge
The inverse of this trigonometric function is y = arccosx. Then the correct answer is option D.
What is a trigonometric function?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
The given graph is represented by the function y = cosx. The inverse function will be y = arccosx.
Hence, the correct answer is option D.
To know more about trigonometric functions follow
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Write the ratio in simplest form.
12:18
please help meeee !
Answer:
2:3
Step-by-step explanation:
Simplify it like a fraction.
Answer:
2:3
Step-by-step explanation:
Divide both by 6
A mountain has a 20 degree slope, and is 1 mile tall. How far do you need to hike to reach the summit?
The distance we have to hike to reach the top of the mountain is
2.92 miles.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A mountain has a 20-degree slope and is 1 mile tall and we have to hike the mountain so we want to know the distance.
Here hypotenuse is the distance we have to hike and according to the reference, the angle opposite has a distance of 1 mile.
We know sin = opposite/hypotenuse.
sin20° = 1/hypotenuse.
0.342 = 1/hypotenuse.
hypotenuse = 1/0.342.
hypotenuse = 2.92 miles.
learn more about trig ratios here :
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Yi Min is a pitcher on her softball team. This season,
she has allowed an average of 0.8 hits per inning
pitched. If Yi Min pitched 60 innings this season,
how many hits did she allow?
A
75
B
0.013
0.021
48
Answer:
48
Step-by-step explanation:
0.8 times 60= 48
Answer: 48 ^_^
Step-by-step explanation:
I need help. . . . . . . . .
Answer:
61, C
Step-by-step explanation:
So, congruent means all the same. The question is just saying that 3 lines intersect at one point and form 6 angle. The 6 angles are not all the same. Given that, what is the smallest possible largest angle. Obviously, if all angles could be congruent, then, it would be 6 60° angles. However, they aren't. So, to minimize the largest angle, we can just make 1 angle 61° and another 59°. Therefore, the answer should be C which is 61° as you would have the 6 angles being:
59°, 60°, 60°, 60°, 60°, and 61°.
"Suppose you are making baked ziti for a family party. The recipe serves 4 and calls for 2.5 teaspoons of
oregano, but there are 16 people coming to dinner. How many teaspoons of oregano will you ned to serve 16 people?
Answer:
10 teasoons of oregano
Step-by-step explanation:
16/4 = 4
2.5 x 4 = 10
You want to buy some songs and you have a specific budget. A new song costs $0.99 and a classical song costs $0.65. Which expression would represent the total you would spend on buying these types of songs?
1.64N
1.64
0.99N + 0.65C
N + C
Answer:
0.99N + 0.65C
Step-by-step explanation:
6/18
Write each ratio as a fraction in lowest terms
Answer:
1/3
Step-by-step explanation:
If you want to write the fraction in its lowest terms, all you have to do is simplify!! Simplifying is easy; all you have to do is divide on the top and bottom of the fraction by the same number.
So, to simplify 6/18, figure out what the highest number is that can go into both numbers in the fraction. For this problem, the highest number is 6.
6 divided by 6 is 1.
18 divided by 6 is 3.
The simplified answer comes out as 1/3...you can also check it by multiplying 1 and 3 by 6.
1 multiplied by 6 is 6.
3 multiplied by 6 is 18.
So, 6/18 in lowest terms is 1/3!!
I hope you understood...have a great day :)
A calling plan charges $0.10 per minute and a monthly fee of $5.99. How many minutes can a customer talk if
they want the bill to equal $37.99?
Answer:
320 mins
Step-by-step explanation:
Answer:
320 minutes
Step-by-step explanation:
37.99-5.99= 32
32/.10 = 320 minutes
Ketut is organizing a barbecue for his parents. He knows that 13 of his mom’s friends prefer hot dogs and 9 of his dad’s friends prefer hamburgers. He organizes a two-way table to determine what he needs to buy. Which describes the variables he can use in the first row and first column of his table?
meal choice and number of mom’s friends
meal choice and number of guests
parent and number who prefer hot dogs
parent and meal choice
Answer:
it is actually d.
Step-by-step explanation:
if you were to create a two way table, it would make sense, but you would still need more information.
Parent and meal choice describes the variables he can use in the first row and first column of his table.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive.
Given, Ketut is organizing a barbecue for his parents. He knows that 13 of his mom’s friends prefer hot dogs and 9 of his dad’s friends prefer hamburgers.
Variable in a graph should be an object, event, idea, feeling, time period, or any other type of category you are trying to measure. There are two types variables-independent and dependent.
Ketut is organizing a barbecue for his parents. He knows that 13 of his mom s friends prefer hot dogs and 9 of his dad s friends prefer hamburgers. He organizes a two-way table to determine what he needs to buy.
Thus, Parent and meal choice describes the variables he can use in the first row and first column of his table.
Learn more about sample space here:
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It takes 12 men 8 days to construct a wooden shed. How many days will 15 men take?
Answer:
10 days.
Step-by-step explanation:
8÷12 (because you can not divide people.
.666
take that and multiply it by 15
you will get 10
Jocelynn paid $3.01 for an item which cost $34.80 before sales tax is applied. If the sales tax remains the same, how much money, to the nearest cent, will she pay for a $100 item.
Which statement about 1.23 ÷ 0.15 is true?
Answer:
8.2
Step-by-step explanation:
1.23 ÷ 0.15 = 8.2
Please help me!! Please explain and I’m pretty sure the answer needs to have < and > signs or >_ and <_ with “_” under < and >.
(For other ppl who search this)
4. Jim makes 8.50 an hour. Each week, 26% of his total pay is deducted for taxes. How many hours does Jim have to work if he wants his take-home pay to be AT LEAST $300 per week? Write and solve an inequality for this situation.
Answer:
Jim has to work 48 hours to earn at least $300 per week.
Step-by-step explanation:
Jim makes 8.50 per hour
so in x hours he makes 8.5x
26% is deducted for taxes
so his take home pay is 8.5x(1 - .26) = 8.5x(.74) = 6.29x
To make > = $300 Jim must work enough hours so that
6.29x >= 300
x >= 17.49
The gum of two number is 37. Find the number if
lone number is 1 more than twice the other.
a = 25
b = 12
Step-by-step explanation:Hi there !
a + b = 37
a = 2b + 1
replace a
(2b + 1) + b = 37
3b = 37 - 1
3b = 36
b = 36 : 3
b = 12
a = 2×12 + 1
a = 24 + 1
a = 25
a + b = 37
25 + 12 = 37
37 = 37 (true)
Good luck !
4. Explain and correct the error made by a student who simplified this expression.
–2x – 4x + 8y – y
(–2 – 4)x + (8 – 0)y
–6x + 8y
Answer:
I notice that the first equation has a 7x, term and the second equation has a -7x term. These terms will cancel if we add the equations together—that is, we'll eliminate the the x terms:
Step-by-step explanation:
2y+7x= -5 + 5y-7x=12