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AVprozaik [17]
1 year ago
14

write the equation in slope intercept form for a line that will pass through (0,3) and have a slope of (-8,15)

Mathematics
1 answer:
egoroff_w [7]1 year ago
3 0

The equation of line with the slope m in the slope intercept form is :

y = mx + b

Slope can express as :

\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}

Substitute the value :

(x_1,y_1)=(0,3),(x_2,y_2)=(-8,15)

\begin{gathered} \text{ Slope=}\frac{y_2-y_1}{x_2-x_1} \\ Sl\text{ope=}\frac{15-3}{-8-0} \\ \text{ slope=}\frac{12}{-8} \\ \text{slope}=\frac{3}{-2} \end{gathered}

Substitute the value of slope in the equation of line:

\begin{gathered} y-3=\frac{3}{-2}(x-0) \\ y-3\text{ =-}\frac{3}{2}x \\ y=-\frac{3}{2}x+3 \end{gathered}

Equation of line in slope intercept form is :

y = -3/2x + 3

Slope = -3/2

Answer : y = -3/2x + 3

Slope = -3/2

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zhuklara [117]

Answer:

  • The arcs on the Golden Gate Bridge.

Explanation:

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from a support, in the form of a curve concave upwards, to a minimum point that is the vertex of the<em> parabola</em>, through which the axis of <em>symmetry</em> passes, and curves again upwards to ascend to the upper end of the other support.

As a <em>unique feature</em> of this parabolic arc you can tell that the the concavity is upward; the parabola open upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The <em>symmetry</em> is clear because to the curve to the left of the vertex is a mirror image of the curve to the right of the vertex.

6 0
3 years ago
division equation where 13 is quotient with the dividend a whole number and a unit fraction is the divisor
lys-0071 [83]

The division equation that has a quotient of 13 is 1/1/13 = 13

<h3>How to determine the equation?</h3>

The given parameters are:

  • Quotient = 13
  • Dividend = Whole number
  • Divisor = Unit fraction i.e. 1/n where n is an integer.

A division equation is represented as:

Dividend/Divisor = Quotient

Substitute 13 for the Quotient

Dividend/Divisor = 13

Recall that:

Unit fraction = 1/n

So, we have:

Dividend/1/n = 13

Let n = 13.

So, we have:

Dividend/1/13 = 13

This gives

13 * Dividend = 13

Divide both sides by 13

Dividend = 1

So, we have:

1/1/13 = 13

Hence, the division equation is 1/1/13 = 13

Read more about division equations at:

brainly.com/question/1622425

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3 0
1 year ago
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con
marusya05 [52]

Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force F applied to an object with mass m is directly proportional to its acceleration a:

F=ma (1)

If we isolate a:

a=\frac{F}{m} (2) This means the acceleration of the object varies inversely with its mass

Now, we are given the following data to calculate a constant force using (1):

m_{1}=4 kg

a_{1}=5 m/s^{2}

F=m_{1}a_{1} (3)

F=(4 kg)(5 m/s^{2) (4)

F=20 N (5)

If we apply this same force calulated in (4) in another object with an acceleration of a_{2}=2 m/s^{2}, its mass m_{2} will be:

F=m_{2}a_{2} (6)

20 N=m_{2}2 m/s^{2} (7)

Finding  m_{2}:

m_{2}=10 kg This is the mass of the object

4 0
3 years ago
Determine the ratio of
lawyer [7]
To solve this you would divide until you can’t. I recommend staying in whole numbers:) I always divide by twos because I think it’s more efficient! 4 divided by 2 is 2 and 30 divided by 2 is 15 sooo (2 hours to 15) hope this helped!
5 0
2 years ago
Which College entrance exam has the least amount of math problems to work? ​
taurus [48]

Answer:

SAT

Step-by-step explanation:

The two main college entrance exams are the SAT and ACT which are used for almost all colleges in the United States. Between these two the SAT has a lesser focus on math in general. Instead, the SAT tends to focus more on word problems and the process taken to solve them. This does not mean that it has no math at all, there is still a math section on the SAT's but it is not as extensive as in the ACT's.

7 0
2 years ago
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