Answer:
3/2
Step-by-step explanation:
2y+3x=3
This represents a linear equation and the format for a linear equation is
y = mx+b
m = slope
b= y-intercept
we have to subtract 3x from both sides to make this the y=mx+b form
2y=-3x+3
and divide both sides by 2
y = (-3x+3)/2
3/2 or 1.5 is the y-intercept
the constant of a linear equation (or 3) is the y-intercept, if there is no constant then the y-intercept is 0
Answer:
1.5
Step-by-step explanation:
2y+3x=3
Convert to y=mx+b form...
y=mx+b
y(output)
x(input)
x(slope/growth)
b(y int/starting point)
Steps for converting to y=mx+b form:
-subtract 3x from both sides of equal sign
-divide by 2 on both sides
2y+3x = 32y = -3x+3y = -1.5+1.5y = -1.5+1.5
so 1.5 is y int.
:)ur welcome
PLEASE ANSWER ASAP IM TAKING FINALS
sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point that is 11 feet above the ground
A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?
Answer:
A) 47.17
B) 10.2 feet
Step-by-step explanation:
dont forget to switch the calculator to degrees when doing this
For A)
arcsin(11/15)=angle of elevation
47.17=angle of elevation
For B)
tan(47.17)=11/x
11/tan(47.17)=x
10.2=x
read comments for other stuff that i forgot to put in here
Angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].
What is angle of elevation?" Angle of elevation is defined as the angle between horizontal plane and the observation line of sight."
Formula used
[tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]
Pythagoras theorem
[tex](Hypotenuse)^{2} = (Perpendicular)^{2} + (Base)^{2}[/tex]
According to the question,
Length of the ladder ' hypotenuse'= 15 foot
Height to reach a point ' perpendicular' = 11feet
'[tex]\alpha[/tex]' represents the angle of elevation
[tex]'x'[/tex] represents the base of the house
Substitute the value to get the value of angle of elevation we have,
[tex]sin\alpha = \frac{11}{15}[/tex]
⇒ [tex]\alpha = sin^{-1} (0.7333)[/tex]
⇒[tex]\alpha = 47.14[/tex] degrees
Substitute the value in the formula to get the value of base we have,
[tex](15)^{2}= (11)^{2} +x^{2}[/tex]
⇒[tex]x^{2} = 225 - 121[/tex]
⇒[tex]x^{2} = 104[/tex]
⇒[tex]x=\sqrt{104}[/tex]
⇒[tex]x= 2\sqrt{26}[/tex] foot
Hence, angle of elevation is equals to 47.14 degrees and distance from the base of the house is equals to [tex]2\sqrt{26} foot[/tex].
Learn more about angle of elevation here
https://brainly.com/question/21137209
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A cylinder with 1/4 of a section removed has a radius of 4 cm for the base and a height of 10 cm.
Determine the approximate volume of the solid. Use 3.14 for pi. cm3
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder = [tex]\pi r^{2}h[/tex]
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder = [tex]\pi (4)^2(10)[/tex]
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π - [tex]\frac{160\pi }{4}[/tex]
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
Pls omg fast
Baked beans height is 11 and from down its 3.5
Find the square root of 75
Answer:
8.66 = 9
Step-by-step explanation:
The square root of 75 is approximately equal to 8.66 but if rounded 9
Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
Answer:
x = 5
Step-by-step explanation:
Each new term is 1 greater than the previous term. Therefore:
x + 9 = (3x - 2) + 1 Equivalent to x + 9 = 3x - 2 + 1, or:
9 + 2 - 1 = 2x, or 2x = 10
Thus, x = 5
Check by substituting 5 for x as indicated:
3x - 2 becomes 13 (which means the next term must be 14)
x + 9 becomes 14, and
2x + 5 becomes 15
and these consecutive sequence terms are {13, 14, 15}
Find the surface area of the rectangular prism shown below.
6 in.
(15 in
12 in
Answer:
684 in^2
Step-by-step explanation:
SA = 2 ( l*w + l*h+ w*h)
SA = 2( 6*15 + 6*12+ 15*12)
= 2( 90+72+180)
= 2(342)
= 684 in^2
don't mind the purple dot
Answer:
option A
Step-by-step explanation:
22 : 15 + 10hours = 8 : 15
8 : 15 + 35 minutes = 8 : 50
Therefore the difference = 10 hours 35 minutes
PLEASE HELP WITH THIS QUESTION
Answer:
D) X >= to -1
Step-by-step explanation:
Since the dot on -1 is filled in, -1 is included. The arrow points to the right, implying that X is greater than or equal to -1.
It's D)
Because the full circle means "equal to" and it's going towards the right which means it will be greater.
HELP ASAP PLEASE!! :]
Answer:
36 sq units
Step-by-step explanation:
the area of shaded part =
(½×12×12) - (6×6)
= 72-36
= 36 sq units
The function h(t) = -16t^2 + h, 0 gives the height (in feet) of a ball dropped from a height of h, 0 after t seconds. A ball is dropped from a height of 12 feet. After how many seconds does the ball hit the floor?
could someone explain how to solve the equation? I know it's h(t) = -16^2 + 12
Answer:
Step-by-step explanation
the answee
Select the correct answer.
What are the roots of this equation?
Answer:
Hope this helps!
Step-by-step explanation:
can someone please help for brainlest
Answer:
yes it is correct
Step-by-step explanation:
option 1
Answer:
Your answer is correct! 9:1
Step-by-step explanation:
Old Area = side x side
? = 2 x 2
4cm
New Area-
Step 1: Triple the sides
2 x 3 = ?
6cm
Step 2: Find the area
6 x 6 = ?
36cm
The ratio of the new area to the old area is:
36 : 4
But wait! You can simply it!
36 / 4 = 9
4 / 4 = 1
So the new ratio would be:
9 : 1
Hope this helps!
Good Luck!
:)
The Eastminster Widget Company has an old machine that can produce 36
widgets in 9 hours, and a newer machine that can produce 40 widgets in 8
hours. Working together, how long would it take to produce 100 widgets?
Answer:
22 hours
Step-by-step explanation:
Old machine produces 36 widgets in 9 hours. The number of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{36}{9}[/tex]
= 4 widgets
New machine can produce 40 widgets in 8 hours. The umber of widgets produced in an hour can be determined as;
In 1 hour = [tex]\frac{40}{5}[/tex]
= 5 widgets
Thus, let the time required by old machine be represented by s, and that of new machine by y. Working together we have;
4x + 5y = 100
(4 * 10) + (5 * 12) = 100
Thus the old machine would work for 10 hours, while the new machine would work for 12 hours to produce 100 widgets.
Working together, it would take both machines 22 hours.
Which of the following best describes a basic postulate of Euclidean geometry?
Answer:
D option
Step-by-step explanation:
Hope this helps
4.
3.7 cm
4.5 cm
2.2 cm
V=
Answer:
[tex]V=36.63cm^3[/tex]
Step-by-step explanation:
Volume formula for rectangular prism is [tex]V=lwh[/tex]
Volume = length * width * height
[tex]V=4.5*2.2*3.7[/tex]
[tex]V=36.63[/tex]
Hope this helps
HELP FAST
1. Find the missing angle measurements.
2. Describe how you found the missing angle measurements.
3. List all angle relationships.
4. Identify which angle relationships are Supplementary or Equal.
Answer:
Angle 1: 145 degrees
Angle 2: 35 degrees
Angle 3: 145 degrees
Angle 4: 35 degrees
Angle 5: 145 degrees
Angle 6: 35 degrees
Angle 7: 145 degrees
Angle 8: 35 degrees
Step-by-step explanation:
1) See above.
2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)
Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.
Angles 1 and 3 are also vertical, and therefore equal.
When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.
When the lines are parallel, the corresponding angles are congruent.
Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.
3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.
1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.
4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.
1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.
1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.
1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.
Hopefully this covers all they wanted.
The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box
Answer:
a = 8 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
V = 512 cm³
Step 2: Find a
Substitute in variables [Volume of a Cube Formula]: 512 cm³ = a³[Equality Property] Cube root both sides: 8 cm = aRewrite: a = 8 cmFind the original price.
Original price: $_____
Discount: 20%
Sale price: $75
Answer:
$90
Step-by-step explanation:
Answer:
The original price is $93.75 if it is 20% off you will pay $75.
Step-by-step explanation:
1st.) We know the original price is considered 100%
So...Subtract the discount from the original percent.
100% (original percent)
20% (discount percent)
----
80%
2nd.) Make equation. We need the percent to be in decimal form so move the decimal point to the left two places. (80% will now equal 0.8)
0.8x=$75
0.8x/0.8=$75/0.8
x=$93.75
----------------------------
The original price is $93.75 if it is 20% off you will pay $75.
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y = 1/5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that represents Angelo's second cut. 10 -10 10 --10 O A. y = -5x-6 B. y = 5x + 6 C. y = 5x + 6 O D. y - 18 x - 6
Answer:
y = 1/5x + 6
Step-by-step explanation:
If the second cut is parallel to the first, it will have the same slope.
So, it will have a slope of 1/5.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
6 = 1/5(0) + b
6 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = 1/5x + 6
So, the equation of the second cut is y = 1/5x + 6
Which of the following represents the factorization of the polynomial below?
Answer:
option C
Step-by-step explanation:
2x^2 + 5x + 3
using middle term break method
we need two numbers which gives 6 when multiplied and 5 when added
2x^2 + (3 + 2)x + 3
2x^2 + 3x + 2x + 3
x(2x + 3) + 1(2x + 3)
(2x + 3)(x + 1)
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Answer:C
Step-by-step explanation:it’s really simple
Answer:
C.
Step-by-step explanation:
Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she worked 30 hours and got paid $285.00. How much did she get paid during the second week of the two-week span? $114.00 $190.00 $427.50 $475.50
Answer:
$190.00
Step-by-step explanation:
285÷30=9.5
9.5×20=190
Hope this helps! :)
what is the operation of xy^2-2xy^2-5y^2x
Answer:
-6xy²
Step-by-step explanation:
xy² - 2xy² - 5y²x
use commutative property to reorder terms
xy² - 2xy² -5xy²
combine like terms
- xy² - 5xy²
- 6xy²
What restrictions may be necessary to the domain and range of linear equations?
Answer:
There may be restrictions on the domain and range. The restrictions partly depend on the type of function. In this topic, all functions will be restricted to real number values. That is, only real numbers can be used in the domain, and only real numbers can be in the range.I need this rn can someone pls help me
Answer:
[tex]V=2080m^3[/tex]
Step-by-step explanation:
The volume formula for triangular prism is [tex]V=\frac{1}{2}bhl[/tex]
[tex]V=\frac{1}{2}(26)(20)(8)[/tex]
[tex]V=\frac{1}{2}(4160)[/tex]
[tex]V=2080[/tex]
Hope this helps
Answer:
The answer is 2080m^3
Step-by-step explanation:
The formula for volume of a prism is 1/2 x length x width x height
Hope it helps :)
The area of a rectangle is 99 square units. Its width measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
14.21267
Step-by-step explanation:
Danessa is working with consecutive even numbers. If x is her first number, which expression represents her second number?
x + 1
x – 1
x + 2
2x
Answer:
x + 2
Step-by-step explanation: I believe that can help you!
write 17.275102 correct to 3 decimal places
Step-by-step explanation:
17.275 3 decimal plalcesl
George and Carmen went on a bicycle trip. They took a bus to their starting point, and Biked the rest. They traveled 350 kilometers in total (on the bus btw), and they biked 80 kilometers more than they were bussed.
X= kilometers by bike
Y= kilometers by bus
How many kilometers did they travel by bike?
Answer:
430 km
Step-by-step explanation:
If they traveled 350 km by bus and biked 80 km more than they were bused, then,
Traveled by bus, Y = 350 km
Traveled by bike, X = 350 + 80 = 430 km
Hope this will help. Please mark me brainliest if it helps.
(Factorize it)
Here it is:
Answer:
D: (x^2 + 3x + 9) (x^2 - 3x + 9)
-
G: (x^2 + 3x + 5) (x^2 - 3x + 5)
Answer:
[tex]d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)[/tex]
[tex]g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)[/tex]
Step-by-step explanation:
Hope it is helpful....
