Answer:
The equation of the line is:
[tex]y\:=\:\frac{3}{2}x\:-12[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven
y-intercept b = -12slope m = 3/2now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{3}{2}x\:+\:\left(-12\right)[/tex]
[tex]y\:=\:\frac{3}{2}x\:-12[/tex]
Therefore, the equation of the line is:
[tex]y\:=\:\frac{3}{2}x\:-12[/tex]20 Points!!
x2 -16x + 39 = 0
The correct answer is,
x = 13, 3
Salmon is Maria a submarine with situated 800 feet below sea level if it is since 275 feet what is the new position relative to the sea level
Answer:
The new position is 1,075 ft below sea level
Step-by-step explanation:
Here, we want to get the new position of the submarine after it sinks a certain distance from
its initial position
It is already 800 ft below sea level, by sinking 275 feet means it went further down by 275 ft
Its new position relative to the sea level will be;
800 + 275 = 1,075 ft
The equation for line c can be written as y = -1/2x + 8. Line d is parallel to line c and passes through (-7, 1) what is the equation for line d?
Answer:
[tex]y = -\frac{1}{2}x - 2.5[/tex]
Step-by-step explanation:
If the second line is parallel, then we know that the slope must be the same. Therefore, the slope of the second equation must also be -1/2
Now, we can substitute the given values into the slope-intercept equation, and solve for the y-intercept, b, of the second equation:
[tex]y=mx+b[/tex]
[tex]1 = (-\frac{1}{2})(-7) + b[/tex]
[tex]1 = 3.5 + b[/tex]
[tex]b = -2.5[/tex]
Therefore, the equation of the second line should be:
[tex]y = -\frac{1}{2}x - 2.5[/tex]
Hope this helps!
Simplify completely -1/2(6n + 4) + 2n
(!! NEED BY 1/29/20!!)
Answer:
-1/2(6n+4)+2n
-3n-2+2n
1n-2 or n-2
A rectangle that measures 2 inches by 4 inches. What is the area of the rectangle? 6 square inches 8 square inches 36 square inches 64 square inches
Answer:
6
Step-by-step explanation:
You have to multiply the two numbers.
2*4=6
Answer:
8
Step-by-step explanation:
Which is the equation in the slope-intercept form of the line that contains points E & F ?
•4x-y=12
•y-4=4(x-4)
•x-4=4(y-4)
•y=4x-12
Answer:
y = 4x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m = [tex]\frac{-4-4}{2-4}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line
Answer:
y = -4x + 17
Step-by-step explanation:
Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.
what value of n makes the equation true?
[tex]3/5(n+25)=10+2/5n[/tex]
Answer:
n = −25 is your answer
Step-by-step explanation:
Hope this helps!!
The equation (x + 11)^2 + (y – 27)^2 = 2.25, with units in yards, represents a circular fountain in a park. The park entrance maps to (0, 0). If the positive x-axis represents east and the positive y-axis represents north, what is the location of the fountain relative to the park entrance?
11 yards east and 27 yards north
11 yards west and 27 yards north
11 yards east and 27 yards south
11 yards west and 27 yards south
Answer:
B
Step-by-step explanation:
Got it right on test
The location of the fountain relative to the park entrance is 11 yards west and 27 yards north, the correct option is B.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation of the circular fountain is
(x + 11)² + (y – 27)² = 2.25
The center of the fountain is at ( -11,27)
The entrance is at (0,0)
The positive x axis denotes East and positive y axis denotes North
The location of the fountain is at 11 yards west and 27 yards north.
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A shelf has the shape of a triangle. The base of the shelf is 36 centimeters, and the height is 18 centimeters. Find the area of the shelf in square inches. Round to the nearest hundredth.
Answer:
50.22 in²
Step-by-step explanation:
A shelf has the shape of a triangle. The base of the shelf is 36 centimeters, and the height is 18 centimeters. Find the area of the shelf in square inches. Round to the nearest hundredth.
Area of a Triangle = 1/2 × Base × Height
Base = 36 cm
Height = 18 cm
Area of the Triangle = 1/2 × 36 × 18
= 324 cm²
The area of the shelf(Triangular in shape) = 324 cm²
Converting to square inches
1 square centimetre = 0.155 square inch
324 square centimetre = x
x = 324 × 0.155 in²
x = 50.2201 in²
Approximately to the nearest hundredth = 50.22 in²
Therefore, the area of the shelf in square inches is 50.22 in²
- ( x + 3 ) =
Show work pls
Answer:
=-x-3
Step-by-step explanation:
-(x+3) Distribute Partenthesis
-x-3
Helppe plzz thx xxxxxxxxxxxxx
Answer:
x=20°
hope it helps........
Answer:
x=20
Step-by-step explanation:
And if you want the full angle measure its 40, but x is equal to 20.
It is given that ABCD and AFGH are parallelograms. Which of the following statements is false?
Answer:
The second one would be correct, or B
Step-by-step explanation:
The second answer is the only one that had two different sections being compared, all others are the same 2 sections. Assuming it is a parallelogram, and the 2 shapes are the same, B is the only statement that could be false.
Answer:
∠ABC≅∠FGH
Step-by-step explanation:
Factor completely: X^3-5x^2-9x+45
Answer:
x^2(3x-5)-9(x_5)
I think that is the answer and hope you will benefit from it
Answer:
(x-5) (x^2-9)
Hope it helps....
Skylar has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 7.5 points for each visit to the movie theater. She needs 160 points for a free movie ticket. Write and solve an equation which can be used to determine x, the number of visits Skylar must make to earn a free movie ticket.
In order to win the free movie ticket, Skylar must visit the theater 10 times
The equation that can be used to represent the explanation given in the question is : 160 = 85 + 7.5x
The 85 reward points that Skylar gets for signing up can be likened to fixed point. This point does not change with the number of theater visits.The 7.5 points she earns for each visit to theater can be described as variable point. This point increases with the number of theater visits. The total number of points she can earn from a cinema visit = 7.5 × x = 75x.where x represents the number of cinema visits
Given this equation: 160 = 85 + 7.5x, take the following steps to determine the number of visits Skylar needs to earn the movie ticket:
Combine similar terms
160 - 85 = 7.5x
75 = 7.5x
Divide both sides of the equation by 7.5
75 / 7.5 = x
x = 10
A similar question was solved here: https://brainly.com/question/23838448?referrer=searchResults
if johny has 25 killer bears in 17 die how much left
Tell whether the equation has one, zero, or infinitely many
solutions.
4x + 2 = 4x - 5
4 Three intersecting lines form triangle BCE as shown below.
Which of these statements are true?
Choose all that apply.
A mZC + m2E=mZA
B
m2D + m2F=mZB
C m2B + m2C + m2E= 180°
D m2B + m2C + m2D = 180°
EmZA + m2 B = m2E+mZF
F
m2B + m2 + m2 E = mL A + m2D + m2F
Answer:
A, C, EStep-by-step explanation:
Options:
A. m∠C + m∠E = m∠A
Correct. Exterior angle equals to sum of non-adjacent interior angles.B. m∠D + m∠F = m∠B
Incorrect. Exterior angles have greater value.C. m∠B + m∠C + m∠E = 180°
Correct. Interior angles of a triangle sum to 180°D. m∠B + m∠C + m∠D = 180°
Incorrect. Angles C and D sum to 180°E. m∠A + m∠ B = m∠E + m∠F
Correct. Both sides of equation refer to straight angle.F . m∠B + m∠C + m∠ E = m∠A + m∠D + m∠F
Incorrect. Some of interior angles is not equal to sum of exterior angles.Answer:
The correct options are A, C, and E
Have a great rest of your day! :D
6. Jill made a quilt for her new sister. The quilt is square with an area of 36 square feet. What
is the length of each side of the quilt?
The area for the square is given, and it is 36. To simply find the length of each side, all you have to do is take the area and square root it. The square root of 36 ( ask yourself what number times itself is equal to 36? To get your answer or input it in the calculator. ) is 6. So, the answer is 6 and each side of the quilt is a length of 6.
What is the value of the given equation
1. 14/3
2.13/4
3.2
4.1
Answer:
3.2
Step-by-step explanation:
6(1/√2)square +(1/√3)square
1 +(2/√3)square
3*3+1*1+4*1
3
3+4
3
14/7
2
It rained 3 out of 7 days. How many days might it rain in 35 days?
Answer:
15 days
Step-by-step explanation:
35 divided by 7 equal 5
5 times 3 equal 15
Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, isosceles triangle, right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
AA similarity theorem states that two corresponding angles of two triangles are congruent then the two triangles are similar.
We can see that from triangle EFG and triangle GHJ that:
∠JHG = ∠GFE (given)
Also, ∠EGF = ∠JGH (vertical opposite angles are equal).
Since two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.
Two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.
Here, we have,
A triangle is a polygon with three sides and three angles.
The types of triangles are scalene triangle, equilateral triangle, isosceles triangle, right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
AA similarity theorem states that two corresponding angles of two triangles are congruent then the two triangles are similar.
We can see that from triangle EFG and triangle GHJ that:
∠JHG = ∠GFE (given)
Also, ∠EGF = ∠JGH (vertical opposite angles are equal).
Since two angles of triangle EFG and two angles of triangle GHJ are equal, then the two triangles are said to be similar by AA similarity theorem.
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Use the distributive property to simplify the expression.
6.7 ( 8x + 9 ) = ___
Answer: 53.6x+60.4
Step-by-step explanation:
Which value of x makes the equation x + 0.5x = x + 6 true?
3
12
6
30
Giving brainliest!!!!!!!!!!!!
Answer:
B.
Step-by-step explanation:
Because the thirteen amend ment is about slavery
Does anyone have the answers for these? If so, please help! (Will give Brainliest)
helppppppppppppppppppp
Answer:18
Step-by-step explanation: 1/3n-8=-2
1/3n=6
n=18
Wyatt estimates that it will cost $425,000 to send his daughter to a private college in 18
years. He currently has $35,000 to deposit in an account. What simple interest rate must
his account have to reach a balance of $425,000 in 18 years? Round to the nearest
percent. (2 points)
x^2-8x+15=0 solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.
Answer:
x = 3, 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra I
Terms/Coefficients/DegreesStandard Form: ax² + bx + c = 0Multiple RootsFactoringCompleting the Square: -b/(2a)Step-by-step explanation:
Step 1: Define
x² - 8x + 15 = 0
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 15 on both sides: x² - 8x = -15Complete the Square [Addition Property of Equality]: x² - 8x + 16 = -15 + 16[Complete the Square] Simplify: (x - 4)² = 1[Equality Property] Square root both sides: x - 4 = ±1[Addition Property of Equality] Add 4 on both sides: x = 4 ± 1Evaluate: x = 3, 5How can it be applied mathematically on a right angle triangle
Answer:
For a right-angled triangle, Pythagoras’ Theorem states that a 2 +b 2 = c 2 where c is the hypotenuse. A Pythagorean triple is a set of three integers that exactly fits the Pythagoras relationship. If the lengths of the three sides of a triangle obey Pythagoras’ Theorem the triangle is right-angled.
Step-by-step explanation:
X³ + 7 = -1 pls give me the answer and show me how you did it
Answer:
Step-by-step explanation:
Here you go mate
Step 1
X³+7=-1 Equation/Question
Step 2
X³+7=-1 Subtract 7
X³=-8
Step 3
X³=-8 Simplify by squaring
Answer
x=-2
Hope this helps
