Answer: y = (1/3)*x - 7
Step-by-step explanation:
When we have a line:
y = a*x + b
A perpendicular line to this one needs to have a slope s equal to:
s = -(1/a)
Then any line written as:
y = -(1/a)*x + c
is perpendicular to the lines of the form "y = a*x + b"
Then if we have the line:
y = -3*x - 8
The family of perpendicular lines to this one is:
y = -(1/-3)*x + c
y = (1/3)*x + c
where c can be any real number.
Now we also want that this line passes through the point (9, -4)
Then we need to replace x by 9, and y by -4
-4 = (1/3)*9 + c
Now we can solve this for c.
-4 = 9/3 + c
-4 = 3 + c
-4 - 3 = c
-7 = c
Then the line that is perpendicular to the line y = -3x – 8 and that goes through (9, -4) is:
y = (1/3)*x - 7
A 8-kg load stretches an elastic belt 0.02 m. How much will a 12-kg load stretch the belt?
Answer:
A 12-kg load stretches an elastic the belt 0.03m
Step-by-step explanation:
we know A 8-kg load stretches an elastic belt 0.02 m.
=> 0.02 / 8 = 0.0025
so A 1-kg load can stretch an elastic belt 0.02 m.
=> 12 * 0.0025 = 0.03 m
A 12-kg load stretches an elastic the belt 0.03m
You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this information
Factor: 3bc-4ad +6ac-2bd
Can you create a rubric for this math question
Answer:
(3c−2d)(2a+b)
Step-by-step explanation:
3bc−4ad+6ac−2bd
Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.
2a(3c−2d)+b(3c−2d)
Factor out common term 3c−2d by using distributive property.
(3c−2d)(2a+b)
Use the equation below to find y, if m=11, x=2, and b=5.
y=mx-b
Y=
round 6 3/4 to the nearst whole number
Answer:
7
Step-by-step explanation:
do you really need one?
A company sets up a food booth and a game booth at the county fair.
The fee for the food booth is $100 plus $5 per day.
The fee for the game booth is $50 plus $7 per day.
Write an expression for how much both booths will cost for the same number of days.
Answer:
100+5x+50+7x
Step-by-step explanation:
7(x + 2) = 6(x + 5) solve for x
X = 16
7 x + 14 - 6 x = 30
x + 14 = 30
PLEASE HELP I NEED THIS BEFORE 8:00 pm
Answer:
y = -27
Step-by-step explanation:
-3 * 3 = -9 * 2 = -18/9 = -27
Answer:
The answer is Y=-27
Step-by-step explanation:
Hope this helped
hey what's
[tex] \sqrt[5]{1024} [/tex]
Answer:
[tex]4 \\ \: is \: your \: answer \: mate[/tex]
I hope it helpsenjoy your day
#Captainpower|~
Expand and simplify: (x-2)^3
Answer:
Expand (x+2)^3. (x+2)3 ( x + 2 ) 3. Use the Binomial Theorem. x3+3x2⋅2+3x⋅22+23 x 3 + 3 x 2 ⋅ 2 + 3 x ⋅ 2 2 + 2 3. Simplify each term.
Did the vertical or horizontal asymptote change? If it didn’t change, why not?
Answer:
I think it didnt change
Step-by-step explanation:
Cause both areas from the line are the same and if it were to change the left would be diffrent from the right. So there i think it didnt change.
Ariel sold bags of gourmet popcorn for the school fundraiser. She sold 30 bags in two weeks, raising $112.50 for the school. How much did a bag of gourmet popcorn cost?
Answer:
3.75 dollars
Step-by-step explanation:
If 30 bags of popcorn = 112.50
Then what would one bag equal?
First start off by putting money/bags
[tex]\frac{112.50}{30}[/tex]
Then solve.
112.50/30 = 3.75
Your answer is 3.75.
Hope this is correct, and hope it helps ^_^
Answer:
$3.75 per bag
Step-by-step explanation:
Put the total cost (112.50) and divide it by how many she sold (30) to get your answer. hope this helped
Factor completely: x2-4
Answer:
(x+2)(x-2)
Step-by-step explanation
x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)
Jayson said, "I am thinking of two fractions that when added have a sum of 1." Which fractions could Jayson have been thinking about?
Answer:
he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10
because 2/2=1 and so does 8/8 and 10/10
Step-by-step explanation:
Determine the equation of the circle graphed below.
Answer:
(x-2)^2+(y+4)^2=34
Is AABC-AXYZ? If so, identify the similarity postulate or theorem that
applies
30°
30"
45
15
959
c.
959
А
A. Similar - SSS
B. Similar - AA
C. Similar - SAS
D. Cannot be determined
The theorem that applies to the similar triangles is AA theorem.
How to find similar triangles?Similar triangles are triangle with same shapes but may be different sizes.
Similar triangle have corresponding sides as a ratio of each other.
The triangles above have two of their angles equal, therefore, the triangles are similar.
They are similar by AA theorem.
AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.
30 ≅ 30
95 ≅ 95
learn more on similar triangles here: https://brainly.com/question/16999173
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In the diagram, ABC=DEF, find the values of x and y
Answer:
x=-1
y=66
Step-by-step explanation:
3x + 6 = 9
3x = -3
x=-1
10x+y=56
x=-1
-10+y=56
y=66
Yall, is this correct? And sorry for my bad handwriting for the answer btw-
please help fast HELP
Answer:
The letters are really small I can't see it.
Step-by-step explanation:
Sorry
Kayla bought 8 hot dogs and hamburgers for her and her friends. Hot dogs cost $1.50 and hamburgers cost $1.75. If she spent a total of $13.25, how many hot dogs did she buy?
Answer:
5 hamburgers and 3 hot dogs
Step-by-step explanation:
D = number of hot dogs
H = number of hamburgers
D + H = 8 then D = 8 - H
1.50D + 1.75H = 13.25
substitute for D
1.50(8-H) + 1.75H = 13.25
12-1.50H + 1.75H = 13.25
subtract 12 from each side
-1.50H + 1.75H = 1.25
0.25H = 1.25
divide both sides by 0.25
H = 5
D = 8-5
D = 3
find the surface area of a cube with a side length of 5 centimeters.
The 6 faces of a cube have equal are.
Each face has are of 5*5=25 because they are all squares.
Now we just multiply by 6
25*6=150 centimeters cubed.
Done!
Step-by-step explanation:
step 1. a cube had 6 sides
step 2. each side is a square
step 3. the area of each side is 5x5 = 25cm^2
step 4. the surface area of the cube is 25x6 = 150cm^2.
HEEEEEEEELLLLLLPPPPPPPPP Graph the equation using the slope and y-intercept y = 1/3x + 4
Answer:
Step-by-step explanation:
Record: 0/5 Score: 0 Penalty: 1 off
Complete: 0%
Jereme Nixon
Using Trig to Find Angles
Mar 01, 12:19:51 PM
?.
In AQRS, the measure of ZS=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure
of ZR to the nearest tenth of a degree.
R
7.7
Answer:
Step-by-step explanation:
57.6
Mike installed the window shown. How many square feet is the window? Use 3.14 for pi. Round to the nearest tenth.
Answer: 3.9ft²
Step-by-step explanation:
Find the area of the rectangle first:
= Length * Width
= 2 * 1.5
= 3 ft²
Find the area of the semi-circle by finding the area of a circle and dividing it by 2:
= πr²
= 3.14 * 1.5/2 * 1.5/2
= 1.76625ft²
Divide by 2:
= 1.76625/ 2
= 0.88 ft²
Add the area of the rectangle to the semi-circle:
= 3 + 0.88
= 3.9ft²
How do you know to add for the first one and multiply for the second??
Answer:
When you multiply the variables with different exponents, you add. When you multiply an exponent with another exponent, you multiply.
Step-by-step explanation:
Answer above
FIND BC
round to the nearest HUNDREDTH
Answer:
CB = 30.15
Step-by-step explanation:
180-58-93 = 29 degrees for angle B
draw a line perpendicular to BC down to point A, lets call the perpendicular point D.
now you've got 2 similar, smaller triangles
angle A is split into two angles, 29 degrees above and 58 degrees below.
sin 29 =CD/16
CD = 7.75
cos 29 = AD/16
AD = 14
tan 58 =DB/AD = DB/14
DB = 22.40
CD + DB = 7.75 + 22.40 = 30.15
Find the missing side of the right
triangle.
7
4
Х
X=
<= [?]
The missing side of the right angle triangle is 8.0622577483 units.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
Triangle is a right angle triangle.
And the sides of a right-angled triangle are:
Base = 4 unit
Perpendicular = 7 units.
To find the length of the hypotenuse:
We apply Pythagoras theorem,
(hypotenuse)² = (base)² + (perpendicular)²
Substituting the values in the equation,
(hypotenuse)² = (4)² + (7)²
(x)² = 16 + 49
(x) = √(65)
(x) = 8.0622577483
Therefore, the value of x is 8.0622577483 units.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
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5/32×7= multiplicación de fracciones, paso paso por favor rápido para hoy doy 5
Answer:
35/32
Step-by-step explanation:
Primero, es necesario hacer el 7 en una fracción
[tex]\frac{5}{32} * \frac{7}{1}[/tex]
Entonces puede multiplicarse a través
[tex]\frac{5(7)}{32(1)} \\\\\frac{35}{32}[/tex]
35/32 es la respuesta
¡También, lo siento si mi español es malo! Todavía estoy aprendiendo jaja
3 3/4 CM * 2 1/2 cm
please answer fast
Answer:0.0009375 m2
Step-by-step explanation:
what is the value of x?
Answer:
68
Step-by-step explanation:
c=√a^2+b^2
√ 60^2 + 32^2 =68
We will use the Pythagorean Theorem
[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]