A car travels at an average speed of 50 km/h for 1.5 hours. How far did the car travel in km?

How do i find the x intercet for y=6x−7.

kolezko [41]

Answer:

Step-by-step explanation:

y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-6x+7 = 0 and calculate its properties.

Graph of a Straight Line

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -7/1 so this line "cuts" the y axis at y=-7.00000

y-intercept = -7/1 = -7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/6 Our line therefore "cuts" the x axis at x= 1.16667

x-intercept = 7/6 = 1.16667

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -7.000 and for x=2.000, the value of y is 5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 5.000 - (-7.000) = 12.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 12.000/2.000 = 6.000

x-intercept = 7/6 = 1.16667

y-intercept = -7/1 = -7.00000

3 0

3 years ago

What is the solution to 8(2x + 3) = 48?

Tom [10]

You have to start by using the distributive property. So you take the number next to the parentheses which is “8” and you multiply it with “2x”. This gives you “16x”. Then you multiply “8” with “3” and that gives you “24”. You now have the equation “16x + 24 = 48”.
The next step is to subtract “24” with “48”. This leaves you with “24”. Then you now have “16x = 24” as your new equation. The last step is to divide “16x” with “16”, this cancels it out with itself. Then you divide “24” with “16” and you get 1.5. So “X” equals 1.5 or you can convert it into a fraction witch gives you “3/4”.

6 0

3 years ago

Find x [Angles and Segment]

Alex_Xolod [135]

Answer:

8.3 cm

Step-by-step explanation:

The product of lengths to the near and far point of intersection with the circle is the same in all cases:

(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)

Since we're only interested in x, we can divide by 4 and subtract 4:

49 cm² = (4 cm)(4 cm +x)

(49/4) cm = 4 cm +x . . . . . . divide by 4 cm

8.25 cm = x . . . . . . . . . . . . . subtract 4 cm

To the nearest tenth, x = 8.3 cm.

_____

For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.

___

The angles depend on the size of the circle, which is not given.

6 0

3 years ago

Please help answer these questions. My teacher said they were really easy but I just don't understand. Will mark brainliest !!!

kodGreya [7K]

Answer:

1. A = 59

2. A = 43

Step-by-step explanation:

If we have a right triangle we can use sin, cos and tan.

sin = opp/ hypotenuse

cos= adjacent/ hypotenuse

tan = opposite/ adjacent

For the first problem, we know the opposite and adjacent sides to angle A

tan A = opposite/ adjacent

tan A = 8.8 / 5.2

Take the inverse of each side

tan ^-1 tan A = tan ^-1 (8.8/5.2)

A = 59.42077313

To the nearest degree

A = 59 degrees

For the second problem, we know the adjacent side and the hypotenuse to angle A

cos A = adjacent/hypotenuse

cos A = 15.3/21

Take the inverse of each side

cos ^-1 cos A = cos ^-1 (15.3/21)

A = 43.23323481

To the nearest degree

A = 43 degrees

6 0

3 years ago

Jordan is mixing water and flour to make tortillas. The number cups of water, w needed for f cups of flour is described by the e

Tresset [83]

Answer:

$1\frac{1}{3}$ cups of flour.

Step-by-step explanation:

Given that:

$w$ is the number of cups of water to be mixed with flour for making tortillas.

$f$ is the number of cups of flour to be mixed with water for making tortillas.

Relation between $w$ and $f$ is given by the equation:

$w=0.75f$

To find:

Number of cups of flour to be added if number of cups of water to be used is 1.

Solution:

We are given an equation with two variables.

Value of one variable is given and we have to find the value of other variable.

$1=0.75f\\\Rightarrow f = \dfrac{1}{0.75}\\\Rightarrow f = 1.33$

Number of cups of flour to be added = $1\frac{1}{3}$

6 0

3 years ago