Find the y-intercept of the line: 6x – 3y +6=0

Problem 5

Answer: Yes the points are coplanar

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Explanation:

Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.

In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.

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Problem 6

Answer: line segments WX, XY, and XK

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Explanation:

All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.

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Problem 7

Answer: point W

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Explanation:

The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.

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Problem 8

Answer: The points are not collinear

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Explanation:

To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.

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Problem 9

I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.

Answer:

No solution.

Step-by-step explanation:

3(x - 6) + 12 = 6(x + 1) - 3x

3x - 18 + 12 = 6x + 6 - 3x

3x - 6 = 3x +6

-6 = 6

-6 ≠ 6

Answer:

D. -3

Step-by-step explanation:

d = t2 - t1

d = -5 - (-2)

d = -3

Answer:

√ 3

Step-by-step explanation:

2√3 + 3√ 3 - 4√ 3

5√3 - 4√ 3

1√3

=> √ 3

Answer:

→ 2√3 + 3√3 - 4√3

= (2+3-4)√3

= (5-4)√3

= √3

Therefore, √3 is the right answer.

Step-by-step explanation:

v=s^3 s=3^4=81

v=(81)^3

v=531,441 cm^3

Answer:

option D

Step-by-step explanation:

y-intercept=-8

point(0,-8)

m=4

Using point slope form:

y-y1=m(x-x1)

y-(-8)=4(x-0)

y+8=4x

y=4x-8

Answer:

3x²

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1

= 3x + 3x² - 3x ← collect like terms

= 3x²

Answer:

635.75

Step-by-step explanation:

90π + 2π(7.5)²

~Simplify

90π + 2π(56.25)

~Multiply

282.5 + 2(176.625)

~Simplify

282.5 + 353.25

635.75

All this was simplified using PEMDAS.

Best of Luck!

Answer:

Step-by-step explanation:

[tex](x+2)(x-1)= x^2+2x-x-2= x^2 +x -2\\\\( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 =x^2+x-2-x^2+1=x-1\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] =-3(x-1)=-3x+3\\\\- 3 [ ( x + 2 ) ( x - 1 ) - x ^ { 2 } + 1 ] + 3 ( x - 1 ) =-3x+3+3x-3=6x\\[/tex]

Answer:

Sqrt(-108)=6i*sqrt(3)

Step-by-step explanation:

-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota

Answer:

It is 5.83 units

Step-by-step explanation:

[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]

x1 is -1

x2 is 2

y1 is 3

y2 is -1

[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]

Answer:

4570 species of the type A and 1540 species of the type B.

Step-by-step explanation:

A:

1st: 4 units

2nd: 5 units

B:

1st: 1 unit

2nd: 6 units

A=x, B=y

4x + 1y = 19820  units of the first nutrient

5x + 6y = 32090  units of the second nutrient

5x + 6*(19820-4x) = 32090.

       32090 - 6(19820-4x)

x= ------------------------------------- = 4570

                     5-24

y = 19820 - 4*4570 = 19820 - 18280 = 1540.

ANSWER:  4570 species of the type A and 1540 species of the type B.

Hopes this solves it.

The populations of each species can coexist in the environment so that all the nutrients are consumed each day are 4530 and 10600

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given;

Each day the environment is supplied with 19,660 units of the first nutrient and 31,890 units of the second nutrient

2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available

Now,

Let the number of bacteria of Specie A and Specie B be x and y respectively;

To find : Number of Bacteria 1 and Bacteria 2

Nutrient 1 Constraint Equation : 4x + y = 19660

Nutrient 2 Constraint Equation : 5x + 6y = 31890

Putting the value of y from 1st equation in 2nd equation;

5x + 6 (19660 - 4x) = 31890

5x + 117960 - 24x = 31890

117960 - 31890 = 19x

19x = 86070

x = 86070 / 19 = 4530 { Bacteria A}

Putting the value of x in 1st equation;

2 (4530) + y = 19660

9060 + y = 19660

y = 19660 - 9060= 10600{Bacteria B}

Therefore, the solution of equations will be 4530 and 10600

To learn more about simultaneous equations :

brainly.com/question/16763389

#SPJ2

Answer:

1_ 129 , 51

2_ b

3_ 40

Step-by-step explanation:

1_ we can represent the bigger angle with x and smaller one with y

and as given, y is smaller than x by 78

so y = x - 78 (1)

as x + y = 180

we put y as we did in (1)

x + x - 78 = 180

so 2x = 258

so x = 129

and y will be 51

2_ from the figure we find the two angles form one angle = 90 degree

3_ from the defenition of complementary angles

m(c) + m(d) = 90

7r + 5 + 8r + 10 = 90

15r + 15 = 90

r = 5

so m(c) will be equal 7*5 + 5 = 40

Here is your answer. Hope this helps you.

Answer:

51

Step-by-step explanation:

15= a/3 -2

17= a/3

51=a

Answer:

6 cm

Step-by-step explanation:

Let each side of the equilateral triangle be a.

Given, area of an equilateral triangle = 9√3 cm2

Area of an equilateral triangle = (√3)/4 × (Side)²

=> (√3)/4 × a² = 9√3

[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]

=> a² = 36

[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]

∴ Side = 6 cm  [taking positive square root because side is always positive]

Answer:

22.5 degrees and 67.5 degrees

Step-by-step explanation:

complementary angles add up to 90°

x + 3x = 90°

4x = 90

90/4 = x

x = 22.5

The first angle is 22.5

The second angle is 3 times as much

22.5 x 3 = 67.5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

I can't understand it so plz don't mind or else I will mind

Answer:

93.75%

This type of problem you have to REVERSE the question...

"at least one tail" is all possibilities EXCEPT "all heads"...

so your answer is 100% - P(4 heads)

P(4 heads) = (1/2)^4 = .0625

1 - .0625 = .9375

Step-by-step explanation:

Hi ;-)

[tex]s=zh-2zt^3\\\\z(h-2t^3)=s \ \ /:(h-2t^3)\\\\z=\dfrac{s}{h-2t^3}[/tex]

Answer:

z = [tex]\frac{s}{h-2t^3}[/tex]

Step-by-step explanation:

Given

s = zh - 2zt³ ← factor out z from each term

s = z(h - 2t³ ) ← divide both sides by h - 2t³

[tex]\frac{s}{h-2t^3}[/tex] = z

Answer:

linked below

Step-by-step explanation:

If you use desmos, it show this which is the correct graph :)

Answer:

Surface area of sphere = 4 π r²

154 = 4 × 22/7 × r²

154 = 88/7 × r²

154 × 7/88 = r²

12.25 = r²

3.5 = r

Now

Volume of sphere = 4/3 × π r³

Volume = 4/3 × 22/7 × (3.5)³

Volume = 88/21 × 42.875

Volume = 154 cm³

Volume of sphere = Volume of cube

Volume of cube = 154 cm³

Answer:

-12

Step-by-step explanation:

18 plus 13 is 41 29 subtracted from 41 is -12

Answer:

- $2

Step-by-step explanation:

Alex withdrew money twice, or he subtracted those amounts from the total that he had.

In this case, he withdrew $13 first, and then $18, or:

13 + 18 = 31

$31 dollars in all.

Alex had $29. Subtract the total that he withdrew from the amount he had:

29 - 31 = -2

Alex has - $2, or he owes the bank $2 with interest.

~

Step-by-step explanation:

F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3

F[x]=2x-1

F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1

=4x+2

answer=4x+2

Answer: A

Step-by-step explanation:

[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]

Answer:

5,400

Step-by-step explanation:

do the exponent which is 10x10=100 then add it to 5,300

Answer:  5.6g - 2h + 9

Explanation:

Flip the sign of each term inside the parenthesis.

These sign flips occur because of the negative out front the parenthesis. It's the same as having -1 outside, and we distribute the -1 through.

One circle is 360°, that means, 180° is half of the circle.

Then, the required rotation may be performed according to this property. For more details see the attached picture.

Answer:

The lowest point is -100 meters, or 100 meters down

Step-by-step explanation:

D(x)=1/36(x-60)^2-100

This equation is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex

Since a is positive, the parabola opens up

The vertex is the minimum, which means it will be the lowest point

The vertex is (60,-100)

The lowest point is -100 meters, or 100 meters down

Given expression

Compare to the vertex form

We get

.

As a is positive parabola is opening upwards and vertex is minimum

Lowest altitude is -100m

Answer:

2*b = 8

b=4

Step-by-step explanation:

2*b = 8

Divide each side by 2

2b/2 =8/2

b=4