-21-15
_9
-64
-48
-32
What is the c-intercept of the line?
What is the x-intercept of the line?

Answers

Answer 1
Answer:

Answer:

-21

Step-by-step explanation:


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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

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

A box has the shape of a rectangular prism with height of 28 cm. If the height is increased by 0.2 by how much does the surface area of the box increase?

Answers

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

SA=2B+Ph

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

SA=2B+P(h+0.2)  

SA=2B+Ph+P(0.2)  

The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)

Final answer:

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.

Explanation:

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.

Learn more about Surface Area of Rectangular Prism here:

brainly.com/question/36027675

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Jane worked 32 hours in one week. If she worked the same number of hours each day for 4 days, how many hours a day did she work? A. 8
B. 6
C. 10
D. 4

Answers

4x=32⇒ x=32/4⇒ x=8

the answer is A. 8
You need to divide, so 32/4=8, so your answer is A.8

If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.​

Answers

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

(5+2√(3) )/(7+4√(3) )

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4√(3) is 7 - 4√(3)

= ((5+2√(3))(7-4√(3))  )/((7+4√(3))(7-4√(3)  ) ← expand numerator/ denominator using FOIL

= (35-20√(3)+14√(3)-24  )/(49-28√(3)+28√(3)-48  )

= (11-6√(3) )/(1)

= 11 - 6√(3)

with a = 11 and b = 6

(–x2 + 9) + (–3x2 – 11x + 4)=

Answers

-4x 2-11+13 is the answer of the equation

What is the standard form of the equation of a parabola is y = 5x^2 + 20x + 14. What is the vertex form of the equation

Answers

vertex form is y=a(x-h)^2+k

comlpete the square

y=5x^2+20x+14

group x terms

y=(5x^2+20x)+14

factor quadratic coefient

y=5(x^2+4x)+14

take 1/2 of linear coefient and square it

4/2=2, 2^2=4

add positive and negative of it inside the parentheasees

y=5(x^2+4x+4-4)+14

factor perfect squarer trinomial

y=5((x+2)^2-4)+14

expand

y=5(x+2)^2-20+14

y=5(x+2)^2-6 is vertex form