Answer:
The equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
Step-by-step explanation:
Given
The point (-4, 3)m = -2/3We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2/3
perpendicular to m = -1/m
[tex]=-\frac{1}{\left(\frac{-2}{3}\right)}=\frac{3}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 3/2 and the point (-4, 3)
[tex]y-3=\frac{3}{2}\left(x-\left(-4\right)\right)[/tex]
[tex]y-3=\frac{3}{2}\left(x+4\right)[/tex]
Add 3 to both sides
[tex]y-3+3=\frac{3}{2}\left(x+4\right)+3[/tex]
[tex]y=\frac{3}{2}x+9[/tex]
Thus, the equation of the line:
[tex]y=\frac{3}{2}x+9[/tex]
A parallelogram has a base of 9 and a corresponding height of 2/3. What is the area?
Therefore area of a parallelogram = 6
Given the base of a parallelogram = 9
Height of a parallelogram = 2/3
We have to find the area of the parallelogram as
The formula for the area of the parallelogram as base * height
By using the above formula we get
Area of parallelogram = base * height
= 9 * 2/3
= 3 * 2
= 6
Therefore area of a parallelogram = 6
To learn more about parallelogram refer below
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2 and 9 multiples of 2??
Is 2 and 9 multiples of 2?
2 is a multiple of 2 but 9 isn't
A new miniature golf and arcade opened up in town. For convenient ordering, a play package is available to purchase. It includes two rounds of golf and 20 arcade tokens, plus $3.00 off the regular price. Stacey and her six friends are purchasing this package. Let g represent the cost of a round of golf, and let t represent the cost of a token. Write two different expressions that represent the total amount this group spent.
Answer:
a. 7(2g + 20t –3)
b. 14g + 140t – 21
Step-by-step explanation:
a. The first expression 7(2g + 20t – 3)
Stacey and her six friends implies that we have 7 members in the group.
Therefore, the expression above implies that each member of the group has to pay for two rounds of golf and 20 tokens will be discounted $3.00.
The expression (2g + 20t –3) represents the quantity of cost of each friend and this is multiplied by 7 to obtain this first expression, i.e. 7(2g + 20t –3).
b. The second expression 14g + 140t – 21
The simple interpretation of this expression us that deducting $21 from the to total bill which is 14 games of golf plus 140 tokens is equal to the total amount this group spent.
Therefore, this second expression is obtained by simply opening the bracket in the first expression by multiplying 7 by each of the what is in the bracket.
subtract 4/5-1/5 i will give yall 87 points if yall answer
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5}[/tex] - [tex]\frac{1}{5}[/tex] = [tex]\frac{3}{5}[/tex]
When the denominator of both fractions are the same, you can just calculate the numerators while leaving the denominator alone. In this case, 4-1=3 and the denominator is 5.
Answer:
3/5
Step-by-step explanation:
denominators must be the same. Then subtract how you would subtract positive numbers and keep the denominator the same
4 - 1 = 3
3/5
What is CD?
A)7
B)10
C)13
D)21
can you help pls i rlly need help
Answer:
200+50x = first month
50x (x represents number of months)
First month is 200+5=$250
Step-by-step explanation:
A 5-pound bag at Bargain Mart costs $6.45. A 2-pound bag at Food Saver costs $2.50. A 7-pound bag at Grocery Surplus costs $9.45 A 10-pound bag at Economart costs $12.89. The shop with which sells flour for the lowest unit price is
Answer: Food Saver
Step-by-step explanation:
A 5-pound bag at Bargain Mart costs $6.45. The coat per pound will be:
= $6.45 / 5
= $1.29
A 2-pound bag at Food Saver costs $2.50. The cost per pound will be:
= $2.50 / 2
= $1.25
A 7-pound bag at Grocery Surplus costs $9.45. The cost per pound will be:
= $9.45 / 7
= $1.35
A 10-pound bag at Economart costs $12.89. The cost per pound will be:
= $12.89 / 10
= $1.289
Therefore, the shop which sells flour for the lowest unit price is Food Saver.
What is the quotient
Answer:
-3
Step-by-step explanation:
if u need an explanation, reply and i'll give it to you. If not, have a good day :)
PLs help I can't stay too long my assignment is due in 20 min!
Divide. Write the quotient in lowest terms.
3/5 divided by 2 and 1/2
Answer:
Decimal: 0.24
Fraction: 6/25
I need help asap!!!!!
Answer:
16.7
Step-by-step explanation:
We can use the Pythagorean Theorem [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]. So we write the equation below and solve for b.
[tex]9^{2}[/tex] + [tex]b^{2}[/tex] = [tex]19^{2}[/tex]
81 + [tex]b^{2}[/tex] = 361
[tex]b^{2}[/tex] = 280
b = 16.7
Answer:
h²=p²+b²
(19)²-(9)²=b²
361-81= b²
b²=280
b= √280
:. b=+-16.733
5. Terry descends 110 feet in 10 minutes inside a cave. What is Terry's change
in position before descending?
Answer:
The correct option would be D: -110 feet / 10 minutes
Help me solve asap!!
Answer:
2/16
Step-by-step explanation:
The answer is 2/16
brainliest?
PLEASEE HELP!!!!!!!!!1
please help me, i’m struggling so bad, il mark you brainliest if you give me the answer
Answer:
210 squared inches, I think
Step-by-step explanation:
21 x 15 = 315 (area of original map)
315 x 2/3 = 210
Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn? Write an equation and solve
Music us enjoy to --- and said aaaa
SOMEONE HELP PLEASE! I will mark Brainlist and 5 star :)
5. Dion created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13
inches. The length of the actual library is 78 feet.
Which scale did Leon use to create the scale drawing of the school library?
A. 1 inches represents 6 feet
B. 1 inches represents 1/6 foot
C. 6 inches represents 1 foot
D. 6 inches represents 1/6 foot
So the scale used was
1 inch = 6 feet ANSWER = AStep-by-step explanation:
Given;
Length of library on drawing = 13 inches
Actual length of library = 78 feet
In order to find the scale we divide the actual length by the length of library on drawing.
So, scale = 1 inch = 6 feet
Keywords: Scale, Maps
Answer:
C
Step-by-step explanation:
78 feet/13 inches=6 inches/foot
triangle FGH with vertices F(-7,8) G(-1,1) and H(-8,4): 270 counterclockwise
The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
How to determine the image of the triangle when rotated?The vertices of the triangle are given as:
F = (-7,8)
G = (-1,1)
H = (-8,4)
The transformation rule is given as
270 degrees counterclockwise rotation
The rule of 270 degrees counterclockwise rotation is
(x,y) = (y,-x)
When the above rule is applied to the vertices of the triangle, we have:
F' = (8, 7)
G' = (1, 1)
H' = (4, 8)
Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)
Read more about rotation at
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I need help with these questions
(check pictures)
Answer:
1. 920.0 after that 1830/2 after that 9.1* 10 raised to 2 after that 918%
Step-by-step explanation:
What is the common denominator of 6/7 - 1/3
What is the common denominator of 3/4 + 1/3
What is the common denominator of 5 2/4 + 6 4/10
What is the common denominator of 5 1/2 - 4 1/3
Answer:
its the 3 to second work so 1403424555
Step-by-step explanation:
ik it cus im smart
Answer:
A. 21 B. 12 C. 20 D. 6
Step-by-step explanation:
Evaluating expressions
Answer:
There is no expression to evaluate.
Step-by-step explanation:
A group of 48 senior citizens attended a baseball game. The number of women in attendance was 12 more than the number of men. How many men and women attended the baseball game?
Answer:
18 men attended the baseball game, and 30 women attended the baseball game.
Step-by-step explanation:
Let the number of men in attendance be x and the number of women in attendance be x+12.
No. of men + No. of women = 48
x + x + 12 = 48
2x + 12 = 48
2x = 48 - 12
= 36
x = 36 ÷ 2
x = 18
x+12: 18 + 12 = 30
Pleas help. Please and thank :)
Answer:
126
Step-by-step explanation:
42/2= 21
21 times 6 = 126
answer is 126 pages
plez give brainliest
The endpoints of ab are a (-8,5) and b ( 0,7). find the coordinates of the midpoint M. The coordinates of the midpoint M are
Answer:
947
Step-by-step explanation:
What is the length of the hypotenuse in the traingle shown above?
Answer:
17 yards
Step-by-step explanation:
X = √[(15^2) + (8^2)]
x = √[225 + 64]
x = √289
x = 17
The same business recently upgraded a display TV they had in their lobby.
Originally the TV was 32 inches (across the diagonal) and had an area of
446.38in? The new TV is 53 inches across the diagonal. What is the area of the
new TV? Round the answer to two decimal places.
Answer: 739.32in
Step-by-step explanation:
Since we are informed that originally the TV was 32 inches (across the diagonal) and had an area of
446.38in while thee new TV is 53 inches across the diagonal.
The area of the new TV would simply be calculated as:
= (53 × 446.38) /32
= 23658.14 / 32
= 739.32in
Find f(x)=-8x+5 and g(x)=6x+8.
f(4)+g(2)
B
20
A
19
С
What is the length of BC?
Answer:
6.245
Step-by-step explanation:
........... .....
Find the solution(o) to 9N64x= 0, Check all that apply.
Find the value of x.
Answer: x=13
Step-by-step explanation:
what is the circumference of the circle of parallel of latitude 40°
Answer:
The circumference of a circle with a latitude of 40 degrees is 251.33