The answer is B
.......................

Answer:

y = 7x - 4

Step-by-step explanation:

To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;

[tex]( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7[/tex]

Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );

[tex]y = mx + b -\\m = slope, b = y - intercept[/tex]

Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );

[tex]- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4[/tex]

From this information, we can say that the equation of this line is y = 7x - 4;

Solution, y = 7x - 4

Answer:

7 : 17.29

Step-by-step explanation:

==>Given:

Two similar cylinders:

Surface area of Cylinder A = 49cm²

Surface area of Cylinder B = 121cm²

==>Required:

Scale factor between both cylinders

==>Solution:

We can easily get the scale factor between both by taking the following steps:

=>Set up a ratio of their surface area:

Smaller cone surface area : larger cone surface area

49:121

= 49/121

=>Simplify the ratio gotten:

Dividing the denominator and the numerator by 7, would give us,

7/17.29

= 7:17.29

Answer:

7 : 11

Step-by-step explanation:

[tex]\frac{s}{s} =\frac{\sqrt[2]{49} }{\sqrt[2]{121} } =\frac{7}{11} = 7 : 11[/tex]

Answer:

x = ±2.24

Step-by-step explanation:

16x² - 80 = 0

16x² = 80 (Add 80)

x² = 5 (Divide by 16)

x = ±√5 (Square root both sides)

≈ 2.24, -2.24

Answer:

x = −2.24 and x = 2.24

Step-by-step explanation:

To solve, you can use the quadratic formula.

The guy above is correct.

Hope this helps!

Answer:

x=21

Step-by-step explanation:

add 5 to both sides. it gives u 21

Answer:

We know that a₁ = 2 and that you have to add 4 to the previous term to get the term you are looking for so the answer is:

a₁ = 2

aₙ = aₙ₋₁ + 4

Answer:

210

Step-by-step explanation:

7/5=1.4 so 1.4 times 150=210

Answer:

Step-by-step explanation:

When each of the dimensions is multiplied by 1/3, the result is a rectangle that is ...

   (12 mm)·(1/3) by (15 mm)·(1/3) = 4 mm by 5 mm

The result is ...

  a smaller rectangle with length 4 millimeters and width 5 millimeters

__

The perimeter of the smaller rectangle has the same ratio to the original that the side lengths do.

The new perimeter will be 1/3 times the perimeter of the original rectangle.

The change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

For a known length and width of a rectangle, the expression for calculating the perimeter of a rectangle is 2(L × w).

From the given information:

A rectangle's length = 12 mm, and width = 15 mm

Therefore, we can deduce that the change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

This is because by using the scale factor:

[tex]\mathbf{\dfrac{1}{3}(12) \times \dfrac{1}{3}(15)}[/tex]

We can get the value for the length and width of the new smaller rectangle as 4 mm and 5 mm respectively.

Learn more about the perimeter of a rectangle here:

https://brainly.com/question/19819849

#SPJ2

Answer:

±3

Step-by-step explanation:

y is directly proportional to the square of x.

[tex]y \propto x^{2}[/tex]

[tex]y = kx^{2}[/tex]

Find the value of k constant when y=32 and x=4.

[tex]32=k(4)^2[/tex]

Square the number 4.

[tex]32=16k[/tex]

Divide both sides with 16.

[tex]32/16=k[/tex]

[tex]k=2[/tex]

The value of k constant is 2.

Find the value of x when y=18

[tex]y=2x^2[/tex]

[tex]18=2x^2[/tex]

[tex]18/2=x^2[/tex]

[tex]9=x^2[/tex]

[tex]x= \± \sqrt{9}[/tex]

[tex]x=\± 3[/tex]

The value of x when y = 18 is ±3.

Answer:

10 and 4.

Step-by-step explanation:

Let x be the first number.

Let y be the second number.

x + y = 2x - 6

x - y = 4y - 10

x = 4y - 10 + y

x = 5y - 10

(5y - 10) + y = 2(5y - 10) - 6

6y - 10 = 10y - 20 - 6

6y - 10 = 10y - 26

6y - 10y = -26 + 10

-4y = -16

y = 4

x - (4) = 4(4) - 10

x - 4 = 16 - 10

x - 4 = 6

x = 6 + 4

x = 10

Answer:

Hey!

Y= 3x + 6 IS YOUR ANSWER!!

Step-by-step explanation:

hope this helps!!

Answer:

A a line

Step-by-step explanation:

x-y= 4

is the form of ax+by+c=0 so it is linear function and the graph is a line

Answer:

(2, 9)

Step-by-step explanation:

y=2x+5

x=2 ⇒ y=2*2+5=4+5=9

so the point is (2, 9)

Answer:

y = 9

Step-by-step explanation:

y = 2x+5

It is given (2,__), (x,y).

We must find the y coordinate.

Put x as 2.

y = 2(2) + 5

Multiply both the terms.

y = 4 + 5

Add the terms.

y = 9

Answer:

The y-intercept is where the graph crosses the y-axis. The x-intercept is where the graph crosses the x-axis. ... Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.

Step-by-step explanation:

Answer:

A = 50.24 cm

Step-by-step explanation:

Area formula of a circle:

A = π r²

diameter- r+r

which means that your diameter(8) divided by 2 = 4

r of circle= 4

A= 3.14(4²)

A = 3.14(16)

A = 50.24 cm

Answer:

[tex] = 50.24 {cm}^{2} \\ [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 8 = 2r \\ \frac{8}{2} = \frac{2r}{2} \\ r = 4[/tex]

[tex]area = \pi {r}^{2} \\ = 3.14 \times 4 \times 4 \\ = 50.24 {cm}^{2} [/tex]

hope this helps

Answer:

36 meters and 24 meters.

Step-by-step explanation:

[tex]60 \times 3/5\\180/5=36[/tex]

[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]

Answer:

37.5 m, 22.5 m

Step-by-step explanation:

Let length of first part be x

Length of second part be 3/5x

x + 3/5x = 60

5x + 3x = 60

8x = 300

x = 300/8 = 37.50 m

Second part is 3/5x

3/5 x 37.50 = 22.50 m

Answer:

[tex]cos(x)=\frac{8}{17}[/tex]

Step-by-step explanation:

The ratio will remain the same because all the sides will be equally increased. The angles will also remains the same.

Best Regards!

Answer:

Function B has a greater rate of change since it has a greater slope

Step-by-step explanation:

The slope for function A

m= (y2-y1)/(x2-x1)

   = (15-13)/(6-5)

   = 2/1

  =2

The slope for function B  

We have 2 points ( (1,1) and (2,4)

m= (y2-y1)/(x2-x1)

   = (4-1)/(2-1)

   =3/1

   =3

Function B has a greater rate of change since it has a greater slope

Answer:

B

Step-by-step explanation:

The slope for function A = (15 - 13) / (6 - 5)

= 2

The slope for function B = (4 - 1) / (2 - 1)

= 3

B has a bigger slope, so it has greater rate of change.

Hope this helps!

Answer:

Options that are correct:

1) The coefficient is 18

2) The correct algebraic expression is 18t.

Step-by-step explanation:

Let t be the number

Condition:

=> [tex]18*t[/tex]

=> 18t

Answer:

1 2

Step-by-step explanation:

Answer: 48÷4 = g

Step-by-step explanation:

Here is the complete question:

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

a. 48÷4=g

b. 4÷48=g

c. g÷4=g

d. 4÷g=48

The average number of points Dylan scores per game which has been represented by g will be the total points scored divided by the number of game played. This will be:

g = total point scored ÷ number of games played

g = 48 ÷ 4

Therefore, option A is the right answer.

Answer:

g= 48 divided by 4

Step-by-step explanation:

Answer:

$46.75

Step-by-step explanation:

1 tile covers: 4*4= 16 m²

Tiles required: 120/16= 11

Cost: 11*$4.25= $46.75

I'm thinking line 2 and 3 are Parallel

Answer:

C. Lines 2 and 4 are perpendicular

Step-by-step explanation:

If you just graph them all, none of them are parallel. But lines 2 and 4 are perpendicular and so are the lines 1 and 3.

Out of the options, C. Lines 2 and 4 are perpendicular, is the only correct answer in the choices given.

Answer:

Step-by-step explanation:

I’m assuming that A has a side of 15 cm and has a volume of 400 cm.

Using our volume formula:

(15/10)^3 = (400/x)

(3/2)^3 = 400/x        <— simplify

27/8 = 400/x

27x = 3200

so the volume of B is 3200/27 or about 118.52cm^3

(if I assumed the wrong side lengths please tell me!)

Answer:

Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Putting the values:

[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]

So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Answer:

answer is B    9 root 2 cm

Step-by-step explanation:

got it right on edg 2020-2021

Answer:

The measure of the angle is 36°

Step-by-step explanation:

Let the measure of angle be x

Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles

So, Supplement of x = 180°-x°

Complementary angles  A pair of angles whose sum is 90° is called complementary angles

So, Complement of x = 90°-x°

We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle

So, 3(180-x)=8(90-x)

540-3x=720-8x

8x-3x=720-540

5x=180

x=36

So,  the measure of the angle is 36°

Answer:

Is it $150?

Step-by-step explanation:

Step 1: Add it all together

5 + 10 + 30 + 100 + 5

All adds up to 150.

Probably got it wrong though haha.

Answer:

Option C

Step-by-step explanation:

Consider the function f ( x ) = 3x^2 + 4;

[tex]f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\[/tex]

Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;

[tex]4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C[/tex]

* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane

Hope that helps!

The correct answer is 2. a = 1/2, b = - 3, c = -2

Step-by-step explanation:

1. Let's review the information provided for an answering the question correctly:

0 =1/2x^2- 3x- 2

0 = 1/2x² - 3x - 2

2. Let's find the values for a, b and c.

According to the quadratic equation, we have:

a = 1/2

b = - 3

c = - 2

The correct answer is 2. a = 1/2, b = - 3, c = -2

(❤´艸｀❤)

Answer:

5

Step-by-step explanation:

(a-2)^2+(b+1)^2+(c-3)^2 =0

Since all 3 terms are square numbers, they must be = 0 to have a sum of 0.

so a-2= 0, b+1=0 and c-3= 0

a^2/4+b^2+c^2/3= 4/4+1+9/3= 1+1+3= 5

Answer:

Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

Step-by-step explanation:

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

Answer:

the correct answer is A

Step-by-step explanation: