Given the volume of the solid, find the value of x. Questions 7, and 8.

Answer:

y=3x-6.5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-0.5)=3(x-2)

y+0.5=3x-6

y=3x-6-0.5

y=3x-6.5

The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.

The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.

The equation of a line passing through the point and slope is given as:

(y - y₁) = m (x - x₁)

(y - -( 0.5)) = 3 ( x - 2)

(y + 0.5) = 3 (x - 2)

(y + 1/2) = 3 (x - 2)

or

y + 0.5 = 3x - 6

y = 3x - 6.5

Thus the correct option is D.

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Your question is incomplete most probably your full question was:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3?

A. y - 2 = 3( x + 1/2)

B. y- 3 = 2 ( x+ 1/2)

C. y + 1/2 = 3 (x - 2)

D. y + 1/2 = 2 (x -3)

Answer:

The next two terms are: 1.05 and 1.20

Step-by-step explanation:

Given

[tex]Sequence: 0.6, 75\%, 9/10[/tex]

Required

Write out the next two terms

Since it is a linear sequence; first, we calculate the common difference (d)

[tex]d = 75\% - 0.6[/tex] or [tex]d = 9/10 - 75\%[/tex]

Express as decimals

[tex]d = 0.75 - 0.6[/tex] or [tex]d = 0.9 - 0.75[/tex]

[tex]d = 0.15[/tex] (in both cases)

So, we add 0.15 to 9/10, to get the next term

[tex]Next = 9/10 + 0.15[/tex]

[tex]Next = 0.9 + 0.15[/tex]

[tex]Next = 1.05[/tex]

Add 0.15 to 1.05, to get the next term

[tex]Next = 1.05 + 0.15[/tex]

[tex]Next = 1.20[/tex]

The next two terms are: 1.05 and 1.20

Answer: {y = x + 3, y = -3 x - 1}

{x + 3 = y, 3 x + y + 1 = 0}

Step-by-step explanation:

Answer:

Carmen

Step-by-step explanation:

Given

See attachment for plot

Required

Player with the most runs

The number of runs is represented by the y coordinates.

So, the player with the most runs has the highest y coordinate.

From the attached plot, the y coordinate of each player is:

[tex]Paulo = 5[/tex]

[tex]Rebecca = 4[/tex]

[tex]Nardine = 9[/tex]

[tex]Jason = 10[/tex]

[tex]Carmen = 11[/tex]

By comparison, Carmen has the most runs (11)

Answer:

112.6 millimeters

Step-by-step explanation:

the eight would round 5 up to 6

Hope this helps!

Answer:

KJ = 128°

Step-by-step explanation:

JL = 2×26 = 52°

KL= KJ + JL

KJ = KL-JL

KJ = 180° - 52°

KJ = 128°

Answer:

4 R 3 or 4.5

Step-by-step explanation:

Answer:

QX = 5.7

Step-by-step explanation:

Here, we want to get QX

For a rectangle, the length of the parallel sides are equal

Thus,

SR will be 8 too

Since x is the midpoint of SR, we have it that RX is 4 too

The angle at each corner of the rectangle is 90 degrees each

Thus,

QRX is a right triangle

Mathematically, QX is the hypotenuse of this triangle as it is the side that faces the right angle

According to Pythagoras’ ; the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

thus;

Qx^2 = 4^2 + 4^2

QX^2 = 32

QX = √(32)

QX = 5.7 units

Answer:

C

Step-by-step explanation:

1/10 = 10/100

So 10/100 + 88/100 = 98/100

Answer:

Angle MJK = 64°

Step-by-step explanation:

In ∆MJL & ∆LJK,

JL= JL ...(common side)

Angle JML = Angle JKL ....( each 90°)

MJ = JK ....( Both measures 7)

Hence, by SAS criteria, ∆ MJL = ∆ LJk

.°. by C.P.C.T , ∠MJL = ∠LJK = 32°

Also,

∠MJK = ∠MJL+∠LJK

∠MJK = 32°+32°

Answer:

C

Step-by-step explanation:

Answer:

[tex]105.56\ ft^3[/tex] of gravel was used.

Step-by-step explanation:

Given that,

The height of a cone, h = 6 feet

The diameter of the base of cone, d = 8.2 feet

Radius, r = 4.1 feet

We need to find the amount of gravel was delivered. The volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 4.1^2\times 6\\\\V=105.56\ ft^3[/tex]

So, [tex]105.56\ ft^3[/tex] of gravel was used.

Answer:

The missing angle is 24 degrees

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

x+156 = 180

Subtract 156 from each side

x+156-156 = 180- 156

x = 24

The missing angle is 24 degrees

Answer:

9.2

Step-by-step explanation:

hope it helps

Answer:

31.4 OR 10π

Step-by-step explanation:

circumference of the circle: 2 × 3.14(π) × radius

the radius in the circle shown is 5

2 × 3.14 × 5 = 31.4

or

2 × π × 5 = 10π

Answer:

Plzzzz answer fast....

Answer:

A constant with hidden variable being two times on first term increased by three times.

or,

A hidden age of adult twice adding with variable increasing with three times.

-1/2 -3/6 -2/6 -1/3 -1/6 1/6 1/3 2/6 3/6 1/2

Answer:

4[tex]\sqrt{2[/tex]

Step-by-step explanation:

Answer:

n = 945 / 135

Step-by-step explanation:

n = total seats / number of seat in each section

n = 945 / 135

n = 7

Answer:

36h-36

Step-by-step explanation:

you have to use distributive law/rule

12×3h=36h

12×3=36

36h-36