what are the slope and y - intercept of the equation 6x+3y=-12

The answers are

a)640-500

b) + 28%

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

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

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

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:

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.

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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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.

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

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

Answer:

Step-by-step explanation:

The area of the rhombus is half the product of its diagonals

[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]

[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]

Answer:

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

5+5=10 and 7+7=14 and 14+10=24

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.

Mathematically, the volume of a rectangular prism is given by this formula:

[tex]V = B \times H[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]V = 23 \times 6[/tex]

V = 138 cubic centimeters.

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Step-by-step explanation:

please mark me as brainlest

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

here,

To find:

since 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

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

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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#SPJ2

Answer:

2 semi circles put together

Step-by-step explanation:

just cut the circle in half

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.

Answer:

-1

Step-by-step explanat

yes

The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.

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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Answer:

1.25 pounds

Step-by-step explanation:

20 divided by 16 because 16 ounces are in a pound

Answer:

its b trust me i had that one (12,44)

Step-by-step explanation:

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%

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.

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.)

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 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)

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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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.

Your answer for TQS is 43.

89 - 46 = 43