Answer:
what is the full question?
Step-by-step explanation:
Answer:
502 m²
Step-by-step explanation:
We require to find b before calculating the surface area.
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth and h is height )
Here V = 510, l = b, b = 10 and h = 3, thus
b × 10 × 3 = 510
30b = 510 ( divide both sides by 30 )
b = 17
--------------------------
The opposite faces of a cuboid are congruent, thus
top/bottom area = 2(17 × 10) = 2 × 170 = 340 m²
front/back area = 2(17 × 3) = 2 × 51 = 102 m²
sides area = 2(10 × 3) = 2 × 30 = 60 m²
Surface area = 340 + 102 + 60 = 502 m²
Answer:
Option B. No, because the graph of the line connecting the ordered pairs does no pass through the origin.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line<u><em> and the line passes through the origin</em></u>
step 1
Connect the ordered pairs of the graph
The y-intercept is the point (0,20)
see the attached figure
That means, that the line not passes through the origin
therefore
The relationship between the two quantities is not proportional
Answer:
y=2x+7
Step-by-step explanation:
A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).
Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:
y=2x+b
The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.
y=2x+b
5=2(-1)+b
5=-2+b
Add 2 to both sides to isolate b
5+2=-2+b+2
7=b
Now that we know b, we plug that into our original equation and now we have a final equation of:
y=2x+7
I hope this helps!
Answer:
-8 + x ≥ 9
Step-by-step explanation:
Let's look at your sentence:
The <u>sum of -8 and a number</u> is <u>at least 9 </u>what is the equation look like
Sum is the result of adding
At least 9 means that the number is 9 or greater.
So what you have here is an inequality expression:
Sum of -8 and a number
-8 + x
x here is the "number" since we do not know the value we will use "x" to represent that number.
At least 9
At least means that it is equal or greater, so we use this expression ≥
and so we use put that all together
-8 + x ≥ 9