What is the y-intercept of the graph below?

Answer:

Initially, they have £28 altogether

Step-by-step explanation:

Obi: Rudy=5:2

this means that Obi had 5x and Rudy has 2x in their wallets.

Obi spent £20 and 5x-20 left. Obi now had £8 less than Rudy

thus,

2x-(5x-20) =8

2x-5x+20=8

-3x=-12

x=4

obi =5x

=5*4

=20

Rudy =2x

=2*4

=8

This means that initially Obi had £20 and Rudy had £8

Total if Rudy and obi

=£8+£20

=£28

Answer:

Tricia is correct because the sides of the triangle are congruent since they are  equidistant from the center of the circle.

Step-by-step explanation:

Given that the sides of ΔABC inscribed in a circle are equidistant from the center. This implies the triangle is drawn within the circumference of the circle with a center.

Bisecting the three sides of the triangle shows that the three bisectors intersect at a point which is the center of the circle, and the lines are equidistant to this point. This proves that the length of the sides of the triangle are equal, so that the triangle is an equilateral triangle. Therefore, Tricia's statement is correct.

Answer:

New dimensions are; Width = 12m and Length = 12m

Step-by-step explanation:

Let length of rectangle be L

Let width be W

Area of rectangle has a formula;

Area = Length x Width = LW

We are given the area = 144 m²

So,

LW = 144 - - - (eq1)

Now, we are told that width is doubled and length is decreased by 12m but area remains the same.

Thus, we have;

Width as 2W and Length as L - 12.

Area = 2W(L - 12)

So,

2W(L - 12) = 144 - - - (eq2)

Equating eq 1 and 2,we have;

LW = 2W(L - 12)

W will cancel out to give;

L = 2(L - 12)

L = 2L - 24

2L - L = 24

L = 24m

From equation 1, LW = 144

Thus; W = 144/L = 144/24

W = 6m

So new design of rectangle now has a dimension of;

Width = 2W = 2 × 6 = 12m

Length = L - 12 = 24 - 12 = 12m

So, new dimensions are; Width = 12m and Length = 12m

Answer:

[tex]t = \frac{w + 6}{v} [/tex]

[tex]vt - 6 = w \\ vt = w + 6 \\ \frac{vt}{v} = \frac{w + 6}{v} \\ t = \frac{w + 6}{v} [/tex]

Answer:

t as a subject

Answer:

t = w+6 / v

1 inch is two 1/2’s so it takes two strokes to lift the car 1 inch.

2 strokes per inch x 5 inches = 10 total strokes.

The answer is 10

Answer:

[tex]m=-\frac{1}{6} \approx -0.1667[/tex]

[tex]M=(1,\frac{17}{2} )=(1,8.5)[/tex]

[tex]d=\sqrt{37} \approx 6.083[/tex]

Step-by-step explanation:

(i) For two different points on a line, the slope m is defined as the difference on the y-axis divided by the difference on the x-axis:

[tex]m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}[/tex]

Where:

[tex](x_1,y_1)=(-2,9)\\\\(x_2 , y_2)=(4,8)[/tex]

So:

[tex]m=\frac{8-9}{4-(-2)} =\frac{-1}{6} \approx -0.1667[/tex]

(ii)

To find the coordinates of the midpoint, you can use the following formula:

[tex]M=(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

Therefore:

[tex]M=(\frac{-2+4}{2} , \frac{9+8}{2} )=(\frac{2}{2} , \frac{17}{2} ) =(1,8.5 )[/tex]

(iii) The distance between two points is given by the following formula:

[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} }[/tex]

Hence:

[tex]d=\sqrt{(4-(-2))^{2}+(8-9)^{2} } =\sqrt{(6)^{2}+(-1)^{2} } =\sqrt{36+1} =\sqrt{37} \\\\d\approx 6.083[/tex]

Answer:

needs more information!

Step-by-step explanation:

need more information

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:

I got 936 cm² as an answer

I hope it right

I hope it helps

The total surface area of the given triangular prism is 936 cm².

Triangular prism is a three dimensional object which has three rectangular sides and two triangular bases.

So it has three side faces and two base faces.

Triangular prism has two triangular sides and three rectangular sides.

Area of one triangular side = 1/2 bh, where b is the base and h is the height.

Area of two triangular sides = 2 × 1/2 b h = b h

                                                                    = 24 × 18

                                                                    = 432 cm²

Area of a rectangular side = l b, where l is length and b is breadth.

Area of one rectangular side = 30 × 7 = 210 cm²

Area of second rectangular side = 24 × 7 = 168 cm²

Area of third rectangular side = 18 × 7 = 126 cm²

Total surface area = 432 cm² + 210 cm² + 168 cm² + 126 cm²

                               = 936 cm²

Hence the total surface area of the triangular prism is 936 cm².

To learn more about Triangular Prisms, click on the link :

https://brainly.com/question/24046619

#SPJ2

Answer:

D

Step-by-step explanation:

Answer:

1124.

Step-by-step explanation:

The common difference (d)   is -16 - (-28) = 12,  ( also -28 - (-40) = 12).

The nth term of an A.S.  is a1 + d(n - 1)  where a1 = first term, d=common difference.

so the 96th term of the given A.S. is:

-16 + 12(96 - 1)

= -16 + 12*95

= 1124.

-1156Answer:

Step-by-step explanation:

Answer:

B) 16

Step-by-step explanation:

Answer:

B. 16

Step-by-step explanation:

CAH = Adjacent/Hypotenuse

cos60=8/x

xcos60=8

x= 8/cos60

x=8/0.5

x= 16

Answer:

108 units²

Step-by-step explanation:

The surface area is the sum of the areas of  all the faces

There are 3 rectangular faces ( base, back and sloping face )

There are 2 congruent triangular faces ( sides )

area of base = 8 × 4 = 32 units²

area of sloping face = 8 × 5 = 40 units²

area of back = 8 × 3 = 24 units²

area of triangles = 2 × [tex]\frac{1}{2}[/tex] × 4 × 3 = 4 × 3 = 12 units²

Thus

surface area = 32 + 40 + 24 + 12 = 108 units²

Answer:

5 people have pink cups

Step-by-step explanation:

10-5=5

:D

Answer:

5

Step-by-step explanation:

10-5=5

^--^

Answer:

Option A

Step-by-step explanation:

Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;

[tex]3x - 5 = 4 + 8x[/tex]

where x = " the number "

[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]

If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.

Answer:

Ab, De

Step-by-step explanation:

You need the base and the height in order to find out if the triangles are similar

Answer:

6

Step-by-step explanation:

Let the number be x.

2x - 7 = 5

Add 7 to both sides.

2x = 5 + 7

2x = 12

Divide 2 into both sides.

x = 12/2

x = 6

The number is 6.

Answer:

6

Step-by-step explanation:

2x-7=5

2x=12

x=6

x=the varible that represents the number

Answer:

the last option, all nums greater than -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

Answer:

c

Step-by-step explanation:

ape x

Answer:

y=x_1 is the solution of system

Answer:

Part A:

x = 80 degrees

Part B:

A => Corresponding Angles (They correspond to each other)

Hope This Helps!

Don't hesitate asking anything regarding this!

Step-by-step explanation:

[tex] f(x) = 6x -4 \\ f(8) \\ f(x) = 6(8) - -4 \\ f(x) = 48 - 4 \\ f(x) = 44

[/tex]

Answer:

C.44

Step-by-step explanation:

Basically, the question is asking for you to plug in 8 for x into the equation, since the function of x is represented by the equation. Therefore, plug in 8 into the equation like this: 6(8)-4

Multiply 6 and 8, then subtract 4 from the product to get your answer

Answer:

-2

Step-by-step explanation:

The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.

The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.

Answer: -2

Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.

Notice that the graph shown here hits the y-axis at -2.

So the y-intercept of this graph is -2.

Answer:

I went into snippet and graphed the equations in the JPG.

Step-by-step explanation:

To start off, we'll begin with the first equation: y=-3x+8

When graphing an equation you want to find the y intercept first (where the line meets the y axis). In this equation the y intercept is the positive 8. You will count 8 up the y axis to find your first point in this equation, (0,8)

Next you will use the slope given to finish graphing the equation. The slope in this equation is -3x or -3/1x. Starting from point (0,8) you will travel down three and to the right once. This will give you your next point of the line (1,5) You will continue this process, traveling down three and to the right one starting from the point you left off on. Your final points of the line for the first equation are: (0,8) (1,5) (2,2) (3,-1) (4,-4) and (5,-7). Graph these 6 points and draw a line connecting them together.

Now for the next equation: y=4/5x-1

Like the last equation you will need the Y intercept first and this equation's is -1, so you will travel down one along the y axis, making the first point for this equation (0,-1)

Following the same steps as the last equation, you will now graph the slope which is 4/5x, meaning you will travel up 4 and to the right 5. The final points you should have for this equation on the graph are: (0,-1) (5,3) and (-5,-5). Draw the line connecting these points together and there you have it, the second equation on a graph.

P.S- Sorry the graphs are sloppy it's kind of hard to graph using a computer mouse

Answer:

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.

Answer:

no solution

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative

Answer:

b) 5π/4

c) 7π/4

e) 13π/4

Step-by-step explanation:

sin θ = -½√2

There's really no algebra to be done here.  There are two ways you can solve.  One, you can use a calculator.  Two, you can memorize your unit circle.

Either way, it helps to draw the unit circle.  sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2.  This happens at two places: θ = 5π/4 and 7π/4.

Next, we need to check the options that are greater than 2π.

9π/4 is the same as π/4.

13π/4 is the same as 5π/4.

So the three correct answers are 5π/4, 7π/4, and 13π/4.

Answer:

B

C

D

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

When x is less than 3, f(x) is negative so the first statement is false. The second statement is also false because the entire function is not positive. The third statement is true because when x is less than 3 f(x) is negative. The fourth statement is false because the entire function is not negative.

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

Answer:

A =7  B=14

Step-by-step explanation:

AREA OF RING

PERIMETER OF RING

Answer:

  0.952

Step-by-step explanation:

You want to know the multiplier that causes a value to be decreased by 4.8%.

A value is said to be "decreased by 4.8%" when 4.8% of the original value is subtracted from the original value:

  value - 4.8% × value . . . . . . the meaning of "decreased by 4.8%"

  = value × (1 -4.8%) . . . . . . . . . factor out "value"

  = value × (1 -0.048) . . . . . . . . . express the percentage as a decimal

  = value × 0.952

The decimal multiplier that decreases a value by 4.8% is 0.952.