Answer:
y = -½x + 7
Step-by-step explanation:
Perpendicular lines have the product of their gradients equal to -1
For this to be true, since the first gradient is 2, the second gradient must be -½
So the first part is
y = -½x + c
We substitute our point to get c
5 = -½(4) + c
7 = c
Our line is
y = -½x + 7
FYI slope-intercept form is y = mx + c
The distance from Annandale, Virginia to New York City, NY is approximately 410 kilometers (km). Find the distance in miles. SHOW WORK!
I NEED HELP PLEASE ANYONEEEEEE
First, find the converting ratio for kilometers to miles, which is
1km = 1.61 miles.
Then, divide 410 on the side for miles on the ratio.
410km=254.67miles
Therefore, 410 km is equal to 254.67 miles.
4x + 2y = 6
x-y=3
What’s the value of the x variable in this solution?
Hello!
[tex]\large\boxed{x = 2}[/tex]
Solve the system using substitution:
We can rearrange the second equation to find an expression for y:
x - y = 3
Subtract x from both sides:
-y = -x + 3
Multiply the equation by -1:
y = x - 3
Substitute this value of y into the first equation:
4x + 2y = 6
4x + 2(x - 3) = 6
Distribute:
4x + 2(x) + 2(-3) = 6
Simplify and combine like terms:
4x + 2x - 6 = 6
6x = 12
6x / 6 = 12 / 6
x = 2.
Answer:
y = -1
Step-by-step explanation:
x - y = 3
x = 3 + y
4x + 2y = 6
substitute x for 3 + y
4(3+y) + 2y = 6
open the parenthesis
12 + 4y + 2y = 6
12 + 6y = 6
subtract 12 from both sides of the equation
12 - 12 + 6y = 6 - 12
6y = 6 - 12
6y = -6
divide both sides of the equation by 6
6y/6 = -6/6
y = -6/6
y = -1
Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.
$16.52 per 6 yd
$13.85 per 5 yd
a
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither
Answer:
Its A
Step-by-step explanation:
Please answer i will give the brainliest
Answer:
∠A is 55°
∠B is 125°
∠C is 55°
∠D is 125°
Step-by-step explanation:
The two acute angles in a parallelogram are equal, and the two obtuse angles are equal too. The angles in all quadrilaterals add to 360°. Since You're given one of the obtuse angles, multiply that number by 2 (125 × 2 = 250) , then subtract that from 360 (360 - 250 = 110) for the value of BOTH acute angles. Divide that by 2 for each individual acute angle (110/2 = 55)
Answer:
A.55
b.125
c.55
d.125
Step-by-step explanation:
thank you
At the bowling alley, Alyssa records each bowler’s score and the weight of the bowling ball
they used. She limits her study to bowlers with 14-pound balls and 16-pound balls. At the
end of the night she finds that bowlers who used the heavier bowling balls had a higher
average score than bowlers who used the lighter bowling balls.
(a) Explain how you know this is an observational study and not an experiment.
(b) Based on this study, should you conclude that using a heavier ball makes you achieve a
higher score? Explain your reasoning.
Answer:
b
Step-by-step explanation:
heavier ball by thw eight
1 , 3 , 6 , 10 , 15
1) What is the nth term of the sequence?
2) Use the nth term to work out the 21st term of the sequence.
First difference,
[tex]\Delta_{1} = a_{2} - a_{1} = 3 - 1 = 2 = 1 + 1[/tex]
Second difference,
[tex]\Delta_{2} = a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1[/tex]
Third difference,
[tex]\Delta_{3} = a_{4} - a_{3} = 10 - 6 = 4 = 3 + 1[/tex]
And so on.
Assuming the pattern holds on, we see that
i-th difference,
[tex]\Delta_{i} = a_{i + 1} - a_{i} = i + 1[/tex]
[tex]\implies a_{i + 1} = a_{i} + i + 1[/tex]
Then, nth term is,
[tex]\implies a_{n} = a_{n - 1} + n[/tex]
[tex]= a_{n - 2}+ (n + (n - 1))[/tex]
[tex]= a_{n - 3} + (n + (n - 1) +(n - 2))[/tex]
[tex]= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)[/tex]
[tex]= a_1 + \sum \limits^{n - 2}_{k = 0}n- \sum \limits^{n - 2}_{k = 0}k[/tex]
[tex]= a_1 +n(n -2 + 1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]
[tex]= a_1 +n(n -1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]
[tex]= a_1 +(n -1 )(n- \frac{1}{2} (n - 2))[/tex]
[tex]= a_1 + \frac{1}{2} (n -1 )(2n- n + 2)[/tex]
[tex]= a_1 + \frac{1}{2} (n -1 )(n + 2)[/tex]
[tex]\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n + 2)[/tex]
Now, the 21st term in the sequence is,
[tex]\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21 + 2)[/tex]
[tex]= 1 + \frac{1}{2} \times 20 \times 23[/tex]
[tex]= 231[/tex]
What is the slope of the line that passes through the following points:
(4,-3), (-5, 10)
Answer:
M= -13/9
Step-by-step explanation:
use y=mx+b formula
Which equation gives the number of 1/4 centimetre that are in 7/8 centimetres
Answer:
2/8
Step-by-step explanation:
In science class, Mrs. Moore's students were directed to weigh a 300-gram mass on the balance scale. Tina weighed
the object and reported 328 grams.
Answer: 9 1/3%
Step-by-step explanation:
Jesse practices the trumpet for a total of 165 minutes during the first week of school. He practices for 245 minutes during the second week. A. Estimate the total amount of time Jesse practices by rounding to the nearest 10 minutes.
Answer:
410 minutes
Step-by-step explanation:
Given that:
Time for which Jesse practices trumpet in the first week = 165 minutes
Time for which Jesse practices trumpet in the second week = 245 minutes
To find:
The total amount of time rounded to the nearest 10 minutes.
Solution:
To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.
Therefore, total time taken = 165 + 245 = 410 minutes
It is already rounded off to the nearest 10 minutes.
Therefore, the answer is:
Total amount of time for which Jesse practices = 410 minutes
name the angle pairs shown. Then find the missing angle measure
1. Angle pair
2. M
Answer:
x would be 110 degrees as well and its pair would be the angle opposite of it. The other pair of angles would be the ones next to it. Those equal250 degrees.
Step-by-step explanation:
PLEASE HELP WILL GIVE BRANLIEST
Answer:
linear combination should be the right answer
Answer:
Substitution
Step-by-step explanation:
Substitution would be the best method because the equation is already simplified.The sum of two natural numbers is 72 and the difference is 28. Let x
represent the greater number and y represent the smaller number. Find the
values of x and y.
Answer:
x= 50 y=22
Step-by-step explanation:
50 + 22=72
50-22=28
y is less than x
This is geometry math solve and need answer this
Answer:
(-5,-8)
Step-by-step explanation:
I hope this helps!!! XD
Please Help Me!!!!!!!!!!!!!!!
Answer:
s = 11
Step-by-step explanation:
[tex]s-6\geq 5\\\\s-6+6\geq 5+6\\\\\boxed{s\geq 11}[/tex]
Any number greater than or equal to 11 would be a solution for the inequality given.
s = 11 is a solution.
Hope this helps.
Answer:
s = 11
Step-by-step explanation:
I think this is it because 11 - 6 = 5 this might not be right but i think it is.
PLEASE HELP!!
Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles
Answer:
Step-by-step explanation:
Supplementary angles are two or more angles whose the addition of their measures add up to [tex]180^{o}[/tex].
Given: <1 and <2.
<1 + <2 = [tex]180^{o}[/tex] (supplementary angles)
If <1 ≅ <2 (congruent property), then we have;
<1 + <1 = [tex]180^{o}[/tex]
2<1 = [tex]180^{o}[/tex]
<1 = [tex]\frac{180}{2}[/tex]
= [tex]90^{o}[/tex]
<1 = [tex]90^{o}[/tex]
So that since <1 and <2 are congruent, then;
<1 ≅ <2 ≅ [tex]90^{o}[/tex]
Therefore if <1 and <2 are supplementary and congruent, then they are right angles.
reflect the following across y=-x
Answer:
1=-1
5=-6
1=-5
Step-by-step explanation:
hope that helped...
pls pls help !!!
If f(x) = 9 - 2|x + 2|, find f(-7).
-15
-1
1
19
The answer is -1
(AKA the second option)
What is the volume of the regular pyramid below?
OA. 108 units3
OB. 648 units3
Oc. 144 units3
OD. 216 units
Answer:
D. 216
Step-by-step explanation:
What I did was I multiply 9x9x8 and got 648. I then divide 648 by 3 and got 216. I would appreciate it if you can mark this the brainliest if you can.
The volume of the regular pyramid is V = 216 units³
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the volume of the pyramid be represented as V
Now , the equation will be
Let the height of the pyramid be H = 8 units
Let the side length of the pyramid a = 9 units
Now , Volume of Pyramid = ( 1/3 )a²H
On simplifying , we get
The volume of pyramid V = ( 1/3 ) ( 9 )² ( 8 )
The volume of pyramid V = ( 27 ) ( 8 )
The volume of pyramid V = 216 units³
Hence , the volume of the pyramid is 216 units³
To learn more about volume of pyramid click :
https://brainly.com/question/17615619
#SPJ7
Z=m-x
(Rearrange the equation so that the x is alone)
Could someone help me solve it and explain ?
I’m confused !!!
Please help explain and answer
Solve 8x − 2(x + 1) = 7x + 8. (5 points) Question 3 options: 1) 6 2) −6 3) 10 4) −10
Answer:
3.) 10
Step-by-step explanation:
8x-2(x+1) = 7x+8
8x-2x-1=7x+8
6x-1=7x+8
-1=1x+8
+1 +1
1x+9
/x
x=1+9
x=10
can you please help me i’m confused
Answer:
D
Step-by-step explanation:
A pair similar to 3 red to 1 blue is 6 red to 2 blue. Since there are already 4 red and 2 blues, then you just add 2 reds. Hope that helps!
Answer:
D. 2 red, 0 blue
Step-by-step explanation:
You already have 4 red, 2 blue. If you add 2 red, 0 blue, you have 6 red, 2 blue. If you divide both amounts by 2, (6 divided by 2, 2 divided by 2) you get 3 red, 1 blue.
Hope this helps!
Please help...Here's a graph of a linear function. Write the equation that describes that function
Answer:
y = 6x - 4
Step-by-step explanation:
Slope formula: y = mx + b
m = slope, found by figuring out the change in y over the change in x. A fancy way to say find the simplest rate of how far up it goes over how far right it goes. In this case, the line goes up 6 for every time it goes right one; 6/1. This can be simplified as 6.
b = y-intercept, meaning where the line crosses the y line. In this line, you can see that it crosses at -4.
Hope this helps!
X/2 + 3 > 9 what is the answer
Answer:
x>12
Step-by-step explanation:
Answer:
x > 12
Step-by-step explanation:
x/2 + 3 > 9 solve this like a normal inequality, start by subtracting 3
x/2 > 6 now multiply 2
x > 12
I hope this helps
PLEASE ANSWER SOON! ILL GIVE BRAINLY FOR FIRST AND CORRECT ANSWER
Answer:
The answer is A
What are the coordinates of point S"?
(-3/2,9/2) (-9/2,15/2) (9/2,-3/2) (-15/2,0)
Please look at the image! And I need your help thank you.
Answer: it is A
Step-by-step explanation:
just took this test
The coordinates of point S" is (-3/2,9/2). Check more about coordinates in a graph below.
What is coordinates?The term coordinates is known to be one that is often formed by two parts and it is one that shows direction or the point of a given object.
Conclusively, when you look at the graph, you will see that the coordinates of point S" can only be found in the line of -3/2,9/2.
Learn more about coordinates from
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a) 67
b) x= -8 and 4
c) 31
Step-by-step explanation:
a) if m<1 = (6x - 5) and m<5 = (5x+7), find m<3.
6x - 5 = 5x + 7
-5x + 5 - 5x + 5
x = 12
6(12) - 5 = 5(12) + 7
72 - 5 = 60 + 7
67 = 67
b) if m<4 = 32 and m<8 = (x^2 - 4x), find x.
32 = x^2 - 4x
- 32 - 32
x^2 - 4x - 32
(x - 8)(x + 4)
x - 8 = 0 x + 4 = 0
+ 8 + 8 - 4 - 4
x = -8 and 4
c) if m<4 = (4x - 17) and m<5 = (5x - 29), find m<1.
4x - 17 = 5x - 29
-5x + 17 -5x + 17
-x = -12
/-1 /-1
x = 12
4(12) - 17 = 5(12) - 29
48 - 17 = 60 - 29
31 = 31
sorry im a bit slow could somebody help please
Answer:
The numerator is the number on top of the bottom number (denominator)
help on 36 pleasee :DD
Answer:8.5%
Step-by-step explanation:
Answer:
0.085
Step-by-step explanation:
I hope this helps! :)