MATHEMATICS HIGH SCHOOL

Which of the following is the equation of a line parallel to the line y=-x+1 passing through the point (4,1)a. x+y=5
b. x-y=-5
c. x+y=-5
d. -x-y=5

Answers

Answer 1
Answer: y=-x+b

plug in x = 4 and y = 1  to find b

1 = -4 + b   and we know that if you add 5 and -4 you get 1. So ...

5 = b so if we plug that in

y= -x + 5

which is the same as y + x = 5,  So it would be A

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5) What is the value of n in the picture?3n
n 14
A) 19
B) 33
C) 57
D) 41.5

Answers

ok. because those two angles are sumplimentary, (they equal 180 degrees) we can set up an equations.
3n+n+14=180

then isolate the variable
4n+14=180 
     -14   -14
4n=166

then divide to undo the multiplication

4n=166
---   ----
4      4
 
n=41.5
that's super wrong .the answer cannot be 41.5 because if n=41.5 then 41.5 ×4 =166 +90 +14 =270 and that's wrong because in the diameter need have 180 not 270 so is 19×4+90+14=180 answer = 19

Raphael paid $477 for a camera during a 25% off sale. What was the camera's regular price

Answers

$477 x 100 = 47,700
47,700/25 = $1908
I think the correct answer is $1908.

How many cups of sugar is needed for 5 gallons

Answers

There are 16 cups in a gallon.

5 • 16 = 80

You need 80 cups of sugar for 5 gallons. 

The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m, find the length of a leg

Answers

The length of the legs of this isosceles triangle is 19 meters.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know an isosceles triangle has two equal sides and their opposite angles are also equal.

Given, The leg of the isosceles triangle is two less than three times the length of its base.

Assuming the base to be x meter,

∴ The other two legs are (3x - 2).

The perimeter of the triangle is 45 m and we know it is the sum of the lengths of all the sides.

So,  (3x - 2) + (3x - 2) + x = 45.

7x - 4 = 45.

7x = 49.

x = 7.

So, the length of the legs are (3.7 - 2) = 19 meters.

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Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

A slide is 21 feet long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.

Answers

its a right angled triangle. You have C and have B all you need to find is A. usually for a question like this you would use the Pythagorean theorem which is A2+B2=C2 but since we already have c we will use C2-B2=A2
Now we fill in the values. (21)2-(9)2=A2
441-81=360^2 so now with the 360^2 we have to squareroot it so the square root of 360 is 18.973f 

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?f(0) = 5
f(0) = −5
f(5) = 0
f(−5) = 0

Answers

f(0) = - 5 represents the correct value for the polynomial f(x).

What is a polynomial?

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s). Example -

5x³ + 4x + 5

Given is a polynomial f(x) and (x + 5) as its factor.

If (x + 5) is the factor, then the graph of f(x) cuts [x] axis at x = - 5. So,

f(0) = - 5.

Therefore, f(0) = - 5 represents the correct value for the polynomial f(x).

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Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5. 

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D. 
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