Answer:
Slope= -2
y-intercept= -4
Step-by-step explanation:
To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the slope-intercept form. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.
[tex]\textcolor{steelblue}{\text{Slope-intercept form}}[/tex]
y= mx +c, where m is the slope and c is the y-interceptGiven equation: 6x +3y= -12
Let's leave the y term on the left of the equation and bring the rest to the right.
3y= -6x -12
To ensure that the coefficient of y is 1, divide both sides by 3.
y= -2x -4
The equation is now in the slope-intercept form.
The slope is the coefficient of x (the number that comes before x), thus the slope is -2. The y-intercept is -4.
Two of which shape can make a circle
Answer:
2 semi circles put together
Step-by-step explanation:
just cut the circle in half
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8
. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Find the area of a circle whose radius is 3 1/2(three whole number one over two)
Answer:
38.5 in²
Step-by-step explanation:
Area of circle= πr², where r is the radius
Substitute the value of the radius into the formula above:
Area of circle
= π(3.5)²
= 12.25π
= 38.5 in² (3 s.f.)
What is the slope of a line parallel to the line whose equation is 3x + 3y = -36.
Fully simplify your answer.
Answer:
-1
Step-by-step explanat
yes
Two of the interior angles of a polygon are 134° and 156° and each of the remaining angles is 151°. Find the number of sides of the polygon.
The number of sides of a polygon with interior angles of 134° and 156° and each of the remaining angles as 151° is 12 sides.
Polygons
The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).
Therefore,
Interior angle + exterior angle = 180°
Therefore,
156 + x = 180
x = 180 - 156
x = 24°
134 + y = 180
y = 180 - 134
y = 46°
180 - 151 = z
z = 29°
sum of exterior angle = 360 degrees.
Therefore,
360 - 46 - 24 = 290°
Then,
290 / 29 = 10
The number of sides = 10 + 2 = 12 sides
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Step-by-step explanation:
Table A represents an arithmetic sequence with a common difference d=+7.5
so for x=4, it's y³+7.5=25+7.5=32.5
for x=5, it's y⁴+7.5=32.5+7.5=40
Table B represents a geometric sequence with a common ratio r=4, so you're essentially multiplying by 4.
for x=4, y⁴=y³×4=160×4=640
for x=5, y⁵=y⁴×4=640×4=2560
QUESTION 1 1.1 Consider the quadratic sequence : 8; 18; 30; 44 ... 1.1.1 Write down the next two terms of the sequence. 1.1.2 Calculate the nih term of the sequence. 1.1.3 Which term of the sequence is equal to 330?
Answer:
Below in bold.
Step-by-step explanation:
8 18 30 44
the differences are 10 12 14 .etc
1.1.1 Next 2 terms are 44+ 16 = 60 and 60+ 18= 78.
1.1.2 8 = 1^2 + 7
18 = 2^2 + 14
30 = 3^2 + 21
44 = 4^2 + 38
So the nth term = n^2 + 7n.
1.1.3 n^2 + 7n = 330
n^2 + 7n - 330 = 0
(n + 22)(n - 15) = 0
n = -22, 15
As the term sequence must be positive the answer is 15.
If a person who is 5.5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
(table is in the photo below)
Which quadratic equation models the data in the table?
y= −0.25x2 + 2x + 5.5
y= −0.35x2 + 2x + 5.5
y= −0.27x2 + 3x + 5.5
y= −0.15x2 + 2x + 5.5
Answer:
The answer is D : y= −0.15x^2 + 2x + 5.5
Step-by-step explanation:
i got it right on my test
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Quadratic function is in the form y = ax² + bx + c; where a, b and c are constants.
From the table, at point (0, 5.5):
5.5 = a(0)² + b(0) + c (1)
From the table, at point (1, 7.35):
7.35 = a(1)² + b(1) + c (2)
From the table, at point (2, 8.9):
8.9 = a(2)² + b(2) + c (3)
From 1, 2 and 3:
a= -0.15, b = 2, c = 5.5
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
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Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0
Help I’ll give brainlessly find tqs
Your answer for TQS is 43.
89 - 46 = 43
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
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A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.
Given the following data:
Base area = 23 [tex]cm^2[/tex]
Height = 6 centimeters.
The volume of a rectangular prism.Mathematically, the volume of a rectangular prism is given by this formula:
[tex]V = B \times H[/tex]
Where:
H is the height.B is the base area.Substituting the given parameters into the formula, we have;
[tex]V = 23 \times 6[/tex]
V = 138 cubic centimeters.
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The value of a vase n years after it was
made is given by this formula:
value in pounds (£) = 500 x 1.28"
=
a) What was the original value of the
vase?
b) By what percentage does the value of
the vase increase each year?
The answers are
a)640-500
b) + 28%
Walmart has jeans on sale for $42.89 the regular price is $59.99 what’s the savings before tax
59.99 - 59.99 x saving rate = 42.89
with saving rate = r%
59.99 - 59.99 x r% = 42.89
so 59,99 ( 1 - r%) = 42.89
1 - r% = 42.89 : 59.99
1 - r% = 0,7150
r% = 1 - 0,7150
r = 28,5%
A map is placed on a coordinate grid. On the map, city 1 is located at the
point (35, 78), and city 2 is located at the point (47, 122). What are the
coordinates of a city located halfway between city 1 and city 2?
Answer:
its b trust me i had that one (12,44)
Step-by-step explanation:
The perimeter of the shape below is 24. One side is 5 in. What is the missing side?
Answer:
14
Step-by-step explanation:
5+5=10 and 7+7=14 and 14+10=24
6. On Marika's 8th birthday, in 2004, her father said, "My age is now four times your age."
In what year will Marika's father be able to say, "My age is now three times your age," on
Marika's birthday?
Answer:
2008
Step-by-step explanation:
when she is 12 (4 years after 2004) her dad will be 36, which is 3 x 12, therefore, in 2008 he will be able to say this.
Answer:
2008
Step-by-step explanation:
The difference in their ages is ...
4m -m = 3m = 3(8) = 24 . . . years (Marika was 8 in 2004)
__
Marika's age when the father was 3 times her age was ...
3m -m = 2m = 24 . . . years
m = 12 . . . . . Marika was 12 when her father was 3 times her age
That is 12 -8 = 4 years from 2004, so it will be true in 2008.
The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for .
Answer:1017.36[tex]ml^{2}[/tex]
Step-by-step explanation:
Diameter= 36ml
radius=diameter/2
R=36 ÷2
R=18ml
Area=π[tex]r^{2}[/tex]
Area=3.14 x [tex]18^{2}[/tex]
Area=1017.36[tex]ml^{2}[/tex]
Answer:
Step-by-step explanation:
A train track through a mountain is 1600 feet long and makes an angle of 1.6 with the horizontal. What is the change in elevation from one end of the tunnel to the other.
Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
What is the equation of a line that is perpendicular to y = x + 4 and passes through (–2,8)?
Answer:
y= -x+6
Step-by-step explanation:
G1xG2= -1
G2= -1
-1 = (y-8)
-------
(x+2)
-1 (x+2)=y-8
-x-2=y-8
-y=x+2-8
y= -x+6
Please answer asap, 30+ points
Step-by-step explanation:
please mark me as brainlest
Can someone do this for me
Answer:
A - 10 feet
D - 5 seconds
Step-by-step explanation:
Insert 12 for r the radius and 1500 for V the volume.
12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]
Square both sides
144 = [tex]\frac{4500}{\pi h}[/tex]
Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]
h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,
h = 10
t = [tex]\sqrt\frac{2(200)}{16}[/tex]
t = [tex]\sqrt\frac{400}{16} = 25[/tex]
t = [tex]\sqrt{5^{2} }[/tex]
t = 5
The amount of money you have after investing $400 for 8 years and $600 for 6 years at the same interest rate is represented by 400x^6 + 600x^6. where x is the growth factor. classify the polynomial by the number of terms. what is the degree?
The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.
What is a polynomial?Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, cubic, quadratic, etc.
A polynomial with two terms is known as a binomial. Hence:
The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.
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Maya bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
1.25 pounds
Step-by-step explanation:
20 divided by 16 because 16 ounces are in a pound
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.
The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
What is proportional segment between parallel lines?In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.
Due to this similar triangle the segment formed by the parallel line are proportional segment.
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.
The map of the zoo is attached below.
The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.
Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,
[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]
Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
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Answer:
28
Step-by-step explanation:
Did on edge 2022
Find the height of the building to the nearest foot in the diagram below. Show work.
Answer:
height : 150 feet
Step-by-step explanation:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
using tan rule:
[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]
[tex]\hookrightarrow \sf b = tan(62)*80[/tex]
[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]
Answer:
[tex]\approx 150 \: ft[/tex]
Step-by-step explanation:
recall sohcahtoa
sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacenthere,
The adjacent side is 80 ftx°=62°The opposite side is the heightTo find:
The opposite side or the heightsince we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,
So,
[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]
[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]
using calculator,we acquire
[tex] \implies \: h \approx 150 \: ft[/tex]
hence, the height of the building is approximately 150ft
What is the measure of ∠H?
1. 115
2. 65
3. 50
4. 25
Answer:
2
Step-by-step explanation:
Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.
i need help with this
Answer:
Answer: (b) 5.
Step-by-step explanation:
Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...
For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10, we get 3(10)+7=30+7=37. Here's a variable expression with two variables: 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.
Is my answer correct?
Answer:
No, x = 3 inStep-by-step explanation:
The area of the rhombus is half the product of its diagonals
A = 1/2(2x*16) = 4816x = 48x = 48/16x = 3[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]
Explanation :-[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]
[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]
Write the equation for circle below
Answer:
Step-by-step explanation:
Which expression is the factorization of x2 10x 21?
The factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.
It is given that the expression [tex]\rm x^2+10x+21[/tex]
It is required to find which expression is the factorization of the given expression, the options are:
a) (x + 3)(x + 7)
b) (x + 4)(x + 6)
c) (x + 6)(x + 15)
d) (x + 7)(x + 14)
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have an expression:
[tex]\rm x^2+10x+21[/tex]
[tex]\rm x^2+7x+3x+21[/tex]
Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is [tex]\rm 21x^2[/tex] and the addition is 10x.
[tex]\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)[/tex]or
[tex]\rm (x+3)(x+7)[/tex]
Thus, the factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.
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