funzo
the numbers are x and x-1
a.
"product of them is equal to 35 more than 11 times sum of them" translated to maths is
(x)(x-1)=35+11(x+x-1)
we need to get it into standard form (
)
expand
b.
factor
what 2 numbers multiply to get -24 and add to get -23?
-24 and 1
set each equal to 0
x-24=0, x=24
x+1=0, x=-1
the solutions are 24 and -1
c.
if x=24, then x-1=23, the 2 numbers are 24 and 23
if x=-1, then x-1=-2, the 2 numbers are -1 and -2
since the question did not specify if the numbers had to be of a certain sign (positive or negative) or something like that, there are 2 pairs of consecutive numbers that satisfy the equation
To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
Length: 2(x + 6); Width: 3.5x
A rectangle has 4 sides. 2 sides are lengths and 2 sides are widths.
The perimeter is the sum of the measures of all 4 sides.
perimeter = length + length + width + width
perimeter = 2(x + 6) + 2(x + 6) + 3.5x + 3.5x
Use the distributive property on 2(x + 6).
perimeter = 2x + 12 + 2x + 12 + 3.5x + 3.5x
Now let's group all terms with x first, then all the numbers.
perimeter = 2x + 2x + 3.5x + 3.5x + 12 + 12
Now we add like terms. Like terms have exactly the same variables and the same exponents. All terms with x are like terms and can be added together. All terms with no variable are like terms and can be added together.
perimeter = 11x + 24
11x and 24 are not like terms since 11x contains the variable x and 24 has no variable. Since 11x and 24 are not like terms, they cannot be added together. No more simplification can be done, and 11x + 24 is the answer.
Answer: 11x + 24
Answer:
No. Vivian will not make it to her friends house.
Step-by-step explanation:
If Vivian will be riding 15 miles per hour, and she has six hours , then in order to find out the distance, we will have to multiply the rate and the time.
Equation : 15x6 = 90
Using this solution, we can easily find out that 90 is less than 96 as shown.
90<96
In conclusion, no Vivian will not make it to her friends house within the 6 hours she has to get there.
Hope this helps!
Ignore this I need some points sorry thank you
