Answer:
-21
Step-by-step explanation:
Answer:
(5.4k+7.9m+8.1n) centimeters
Step-by-step explanation:
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
Answer:
The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
If the height is increased by 0.2
then
The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
The overall change in surface area when the height of a rectangular prism is increased by 0.2 cm can be calculated with the formula 0.4w + 0.4l.
In this question, we are looking at the surface area of a box that is a rectangular prism and how it will change if the height of the box is increased by 0.2 cm. The surface area of a prism is given by the formula 2lw + 2lh + 2wh, where l, w and h are the length, width and height respectively.
Now, if the height is increased by 0.2 cm, the difference in the surface area will be 2lw (because there are two ends with area lw that do not change) plus the change in the area of the sides. The sides' areas will increase by 2w x 0.2 and 2l x 0.2 respectively (since we have two opposing sides that both increase by 0.2 cm in height).
Therefore, the overall change in surface area when the height is increased by 0.2 cm is simply the sum of these two parts, which is 2w x 0.2 + 2l x 0.2. This can also be simplified to 0.4w + 0.4l.
#SPJ12
B. 6
C. 10
D. 4
Answer:
lhs = (5+2√3)/(7+4√3)
= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]
=[35-20√3+14√3-24]/[7²-(4√3)²]
=[11-6√3]/[49-48]
=11-6√3
therefore
11-6√3 = a+b√3
compare both sides
a= 11, b= -6
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
a = 11, b = 6
Step-by-step explanation:
Given
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 7 + 4 is 7 - 4
= ← expand numerator/ denominator using FOIL
=
=
= 11 - 6
with a = 11 and b = 6
vertex form is
comlpete the square
group x terms
factor quadratic coefient
take 1/2 of linear coefient and square it
4/2=2, 2^2=4
add positive and negative of it inside the parentheasees
factor perfect squarer trinomial
expand
is vertex form