Answer:
Or, 1/2.
Step-by-step explanation:
To find the slope of a line that crosses any two given points, we can use the slope formula:
Where (x₁, y₁) is our first point, and (x₂, y₂) is our second point.
We will let (6, -7) be our first point (x₁, y₁), and (4, -8) be our second point (x₂, y₂).
Substitute them into the formula. Hence:
Simplify:
Evaluate. Hence, our slope is:
Answer:
Step-by-step explanation:
A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,
Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,
<u>Hence</u><u> the</u><u> </u><u>Solution</u><u> </u><u>of</u><u> the</u><u> equation</u><u> is</u><u> </u><u>2</u><u>,</u><u>2</u><u>. </u>
Plug in x = 7. Then use the order of operations (PEMDAS) to simplify
y = 11 - 5*x
y = 11 - 5*7 .... x has been replaced with 7 (since x = 7 is given)
y = 11 - 35
y = -24
Answer:
The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
Step-by-step explanation:
Given the expression
solving
We know that the equations with infinitely many solutions have the same expressions on both sides
It means the value of k can be determined by further simplifying such as
8x+20-8x = k
20 = k
Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.
VERIFICATION:
Given
Put k = 20 in the equation
equations with infinitely many solutions have the same expressions on both sides.
This means the statement is always true.
Answer:
25
Step-by-step explanation:
Convert fraction (ratio) 6 / 24 Answer: 25%