The slope of the line that is perpendicular to line AB is: 1/2.
Recall:
If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given:
A(-1,10)
B(5,-2)
Slope of AB:
[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]
The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.
Therefore, the slope of the line perpendicular to AB is: 1/2.
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A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?
this is a COUNTING PRINCIPLE problem :")
Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?
Answer:
26%
Step-by-step explanation:
Well, we need to find what percent 3.25 is of 12.50.
12.50*x=3.25
3.25/12.50=.26
26% is saved.
Which expression can be used to find the surface area of the following square pyramid?
ea
Choose 1 answer:
100 + 80 + 80 + 80 + 80
100 - 80
10 + 10 +8+8+8+8
100 + 40 + 40 + 40 + 40
Answer:
surface area=1/2perimeterofbase+slantheight+b(base)
Step-by-step explanation:
1/2(40)=20(8)=160+100=260D
Answer:
is 10+10+8+8+8+8
Step-by-step explanation:
just trial. not sure
Can someone please give me the (Answers) to this? ... please ...
Answer:
A.
1 ) 1/2
2 ) - 1
3 ) 1/2
4 ) 5/4
B.
5 ) not defined
6 ) 0
7 ) 15/14
8 ) - 2/5
C )
9. - 1
10. - 4/3
11. 2
12. 14/3
Answer:
A.
1) 1/2
2) -1
3) 1/2
4) 5/4
B.
5) not defined
6) 0
7) 15/14
8) - 2/5
C.
9) -1
10) -4/3
11) 2
12) 14/3
Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.
Step-by-step explanation:
6y>0-15 collect like term
6y=-15 calculate the difference
y=-15/6 convert to lowest form
y=-5/2
i hop it helps you ❤
jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy
A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15
Answer:
c) 36√15 cm³
Step-by-step explanation:
We can compute the volume of the pyramid if we know the area of its base, and its height.
__
A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...
A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base
__
Each triangular face will have a slant height that makes its area the same as that of the base.
A = 1/2bh
36 cm² = (1/2)(6 cm)h
(36 cm²)/(3 cm) = h = 12 cm . . . . . divide by the coefficient of h
The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...
(6 cm/2)² +h² = (12 cm)²
h² = (144 -9) cm²
h = 3√15 cm . . . . . height of the pyramid
__
The volume of the pyramid is given by ...
V = 1/3Bh . . . . . . base area B, height h
Using the values we found above, we compute the volume to be ...
V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³
13.
A?
B?
C?
D?
I’ll check back in whoever is correct here brainlest <3 ignore the stuff at the bottom
Answer:
A
Step-by-step explanation:
[tex]\huge \sf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf {x}^{2} - 10xy + 21 {y}^{2} [/tex][tex] \sf {x}^{2} - 7xy - 3xy + 21 {y}^{2} [/tex][tex] \sf x(x - 7y) - 3y(x - 7y)[/tex][tex] \sf( x - 7y)(x - 3y)[/tex]Hence, the correct choice is ~ A
Your softball team is ordering equipment from a catalog. Each bat costs $42. The cost of shipping is $12 no matter how much you order. The total cost is $348. How many bats did your team order?
help me please!!!!!!!
Answer:
I have no idea.
Step-by-step explanation:
I failed geometry.
There are 200 students in Year 11
75 of the students are girls.
Write down the fraction of the students that are girls.
Answer:
75/200
Step-by-step explanation:
You can also simplify this.
If f(x)= x^2 - x+ 1 and f (-1), then the result is
Answer:
3
Step-by-step explanation:
To solve f(-1), entails to replace x by -1 in the function
f(-1)= (-1)^2 - (-1)+ 1
= 1 + 1 + 1
= 3
5x – 9 = 3x + 7
Solve for x
Answer:
Solving for x
5x - 9 = 3x + 7
subtract 3x from both sides
-3x -3x
2x - 9 = 7
get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction
+9 +9
2x = 16
divide by 2 since that is the inverse operation of multiplication
/2 /2
x = 8
The solution for ''x'' for the expression ( 5x – 9 = 3x + 7
What is an expression?Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.
To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.
First, we can simplify both sides of the equation by combining like terms:
5x - 9 = 3x + 7
2x - 9 = 7
Next, we can add 9 to both sides of the equation to isolate the variable term:
2x = 16
Finally, we can divide both sides of the equation by 2 to get the value of x:
x = 8
Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.
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Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.
Answer:
Henry payed $ll.70
Step-by-step explanation:
1.20 times 9 3/4 (or 9.75) equals 11.7
shares of AT&T stock were purchased for $8,250. What is the cost of ten shares?
Answer:
$82,500
Step-by-step explanation:
Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500
A virus attacked 175,245 people in city A and 1,486,964 people in city B. How many people in all were affected? Thank you in advance:)
1,662,209 is the answer. You just have to add them all up
Answer:
It's 1662209.
Step-by-step explanation:
just add them
May I please receive help?
[tex]h = 2 \sqrt{2} [/tex]
[tex]c = \frac{8}{ \sqrt{3} } = \frac{8 \sqrt{3} }{3} \\ [/tex]
if you run 4 1/2 miles in three quarter of an hour, how many miles would you run in two thirds
Answer:4
Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4
PLEASE HELP!! WILL GIVE BRAINLY!
Answer:
Step 1: 10 group(s) of 23=230
Step 2: 6 group(s) of 23=138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
which term of the a.p 24, 21,, 18, ................. is the second negative term ?
Answer: -6
Step-by-step explanation:
It's going by 3s so the second negative number would follow as this:
24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6
In the first year of production
a play sells 1572 tickets, in its
second year it sells 1753
tickets, in its third year it sells
152 less than in its second
year. How many tickets are
sold in 3 years?
Please add the working out too
Mr. Green orders some cookies from a local youth group. Using his order form shown below, complete the last column to find the total to be paid. Quantity Description Unit Price Total of Line 1 Krispy Kosmos $2.89 $ 2 Chewy Chocos $3.19 $ 1 Gooey Globs 2.99 $ Total $ 5.2% tax $ Total to be paid $ a. $9.54 b. $12.26 c. $12.90 d. $18.64 Please select the best answer from the choices provided A B C D
From the computation done, it can be denoted that the total price that will be paid will be $12.90.
1 Krispy Kosmos at $2.89 = $2.89
2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38
1 Gooey Globs at $2.99 = $2.99
Total = $2.89 + $6.38 + $2.99 = $12.26
We'll then add the sales tax of 5.2%, therefore, the total value will be:
= $12.26 + (5.2% × $12.26)
= $12.26 + $0.638
= $12.90
In conclusion, the correct option is $12.90.
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Answer:
C
Step-by-step explanation:
Edg 2022
how to find intersection from -8x+3y=11 and y=3x+4
Answer:
(-1,1)
Step-by-step explanation:
To find where both lines intersect, solve for x and y with substitution.
Equation 1.
-8x+3y=11
Equation 2.
y=3x+4
Substitute y from equation 2 into equation 1.
-8x+3(3x+4)=11
-8x+9x+12=11
x=-1
Now plug x into the second equation to solve for y.
y=3(-1)+4
y=-3+4
y=1
Both lines intersect at (-1,1)
Answer:
(-1, 1)
Step-by-step explanation:
It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.
The lines intersect at (-1, 1).
__
You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...
-8x +3(3x +4) = 11
x +12 = 11 . . . . simplify
x = -1 . . . . . . . subtract 12
Substituting back into the second equation, we find y to be ...
y = 3(-1) +4 = 1
The lines intersect at (x, y) = (-1, 1).
_____
Additional comment
The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.
Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.
I really need help! Please, please, PLEASE do not give me a link.
Last year, Kristen read a total of 30 fiction and non-fiction books. The number of non-fiction books was 5 less than 4 times the number of fiction books.
What is the total number of FICTION books that Kristen read last year?
A. 5
B. 7
C. 23
D. 25
Answer:
7 fiction and 23 non- fiction
Step-by-step explanation:
The number of non-fiction read was 5 less than 4 times the number of fiction books.
Assume fiction books are x.
An equation representing this would be:
x + (4x - 5) = 30
5x - 5 = 30
5x = 30 + 5
x = 35 / 5
x = 7 fiction books
Non-fiction books:
= 4x - 5
= 4 * 7 - 5
= 23 non - fiction books
Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the y-axis,
then translate
(x-2, y+[ ? ]).
Answer:
[(x + 6), (y + 1)]
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.
The graphs can be translated or moved about the xy-plane
After point D is reflected across the y-axis, its coordinates are
D(-1, 2) ⇒ D'(1, 2)
This is the point that gets translated to F(-3, -2). The translation is
F -D' = (-3, -2) -(1, 2)
= (-3-1, -2-2)
= (-4, -4)
Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
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What is the graph for y = { x + 1?
y 1 2 1?
a)
b)
c)
d)
Enter
Answer:
The graph for y = (1/2)x + 1 is C.
Step-by-step explanation:
y = (1/2)x + 1
This line has a slope of 1/2. That is a positive line, so option A is incorrect. It also has a y-intercept of 1. The value of y when x is zero is 1. There are two graphs in which the line intersects (0,1): A and C. But A has already been rejected, so it must by Graph C:
Double check this to see if the slope is 1/2. Does y increase by 1/2 for every step of 1 on x? Graph C:
x y
-2 0
-1 1/2
0 1
+1 1 1/2
+2 2
Yes: Y increases by (1/2) for every x increase of 1.
The graph for y = (1/2)x + 1 is C.
how to turn x+7y=20 into y=mx+b
Answer:
y = -1/7x +20/7
Step-by-step explanation:
Solve for y.
7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself
y = -1/7x +20/7 . . . . divide both sides by the coefficient of x
In this form, you can see ...
m = -1/7b = 20/7 = 2 6/7Answer:
y=-1/7x+20/7
Step-by-step explanation:
So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).
They're pretty much just asking us to solve for y.
x+7y=20
7x=20-x (Subtract x from both sides)
y=20-x/7 (Divide 7 on both sides to isolate y)
y=20/7-1/7x
y=-1/7x+20/7
So..
m=-1/7
b=20/7
Hope this helps :)
The LCM of 6, 17 and 34 is
Answer: 102
Step-by-step explanation:
Please find the value of P.
Answer:
[tex]\huge\boxed{\sf p = 48\°}[/tex]
Step-by-step explanation:
Since, interior angles of a triangle add up to 180 degrees.
So,
S + Q + R = 180°
S + 44 + 40 = 180
S + 84 = 180
Subtract 84 to both sides
S = 180 - 84
S = 96°
Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)
So,
S = p + p
S = 2p
96 = 2p
Divide both sides by 2
48 = p
OR
p = 48°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Barron's car dealership sold only trucks and vans this week. When Baron looks at the inventory left, he noticed he sold 80 vehicles but only 10 trucks. Select all the statements that are true A This week, the ratio of trucks to vans sold was 1:7. B This week, the ratio of trucks to vans sold was 7:1. C This means for every 7 vans sold, there was 1 truck sold. D This means for every van sold, there were 7 trucks sold. E This means for every 8 vehicles sold, 1 truck was sold.
The correct statement is for every 8 vehicles sold, 1 truck was sold.
Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.
In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every 8 cars sold 1 truck are sold.
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