Answer:
Slope: 0
x-intercept: there isnt one
y-intercept: 2
Step-by-step explanation:
the easiest way to look at this is to put it in the form y=mx+b where m is the slope and b is the y intercept. when we just think about what y=2 would look like, we can imagine a straight horizontal line at y=2. No matter what x value you choose, y will always equal 2. We know the slope (m) of any horizontal line is zero because there is no rise and zero divided by anything is going to be zero. we also know if y is always equal to 2 the y intercept will be 2. this would give us y=0x+2. to find the x intercept we just need to set y equal to zero in this equation. this gives us 0=0x+2 or 0=2 which can never be true, therefore there will be no x intercept.
<span>1- What is the distance formula?
distance = </span>√(x2-x1)² + (y2-y1)²<span>
2- plug in the correct values from the problem, write the diatance formula with substituted values
</span>distance = √(4-(-3))² + (-6-5)²
<span>
3- simplify the expression, what is the distance between the two points?
distance = </span>√170 = 13.04
The sum of the first 7 terms of the geometric series is 15.180
<h3>Sum of geometric series</h3>
The formula for calculating the sum of geometric series is expressed according to the formula. below;
GM = a(1-r^n)/1-r
where
r is the common ratio
n is the number of terms
a is the first term
Given the following parameters from the sequence
a = 1/36
r = -3
n = 7
Substitute
S = (1/36)(1-(-3)^7)/1+3
S = 1/36(1-2187)/4
S = 15.180
Hence the sum of the first 7 terms of the geometric series is 15.180
Learn more on sum of geometric series here: brainly.com/question/24221513
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Answer:
21.78
Step-by-step explanation:
The fraction 4/5 has the decimal value 0.8. The mixed number 25 4/5 is equivalent to the decimal number 25.8.
When you do the subtraction, you may want to add a trailing zero to 25.8 to make the same number of decimal places as 4.02. Then you have ...
25.80 -4.02
and subtraction proceeds in the normal way.
25.80 -4.02 = 21.78
_____
It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. It is also helpful to note that denominators of 2 and 5 and their multiples can be translated directly to fractions with denominators of 10 or other powers of 10:
