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zzz [600]
3 years ago
9

What number should be added on both sides of the equation to complete the square?x^2-10x=7

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0
<span>What number should be added on both sides of the equation to complete the square is (-10/2)^2 or (10/2)^2 or 5^2 or 25.</span>
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What is the equation of a line through point (-4,5) that is perpendicular to the line with equation y=-6x+4?
Jobisdone [24]
To find the gradient of the perpendicular line, we know that we must do the negative inverse of the current line's gradient

-6x from the old line will now be 1/6x

we are given points on that line and we therefore use the points and the new gradient to find the equation of the line using this formula

y-y1=m(x-x1) where m is the gradient

input the values that we have

y-5=1/6(x--4)

rearrange

y-5=1/6(x+4)
y-5=1/6x+4/6
6y-30=x+4
6y=x+34
y=1/6x+34/6
y=1/6x+17/3
4 0
3 years ago
Use the Substitution method to solve the system of equations<br><br> 3x+4y=10<br><br> y=x-1
kifflom [539]

Answer: 2

Step-by-step explanation:

3x+4y=10

3x+4(x-1)=10

3x+4x-4=10

7x-4=10

Add 4 to both sides

7x=14

x=2

5 0
2 years ago
Which of the following are valid (necessarily true) sentences? a. (∃x x = x) ⇒ (∀ y ∃z y = z). b. ∀ x P(x) ∨ ¬P(x). c. ∀ x Smart
Phantasy [73]

Answer:

b; ∀x   P(x) ∨ ¬P(x)

Step-by-step explanation:

Suppose that we have a proposition p

Such that p can be true or false.

We can define the negation of p as:

¬p

Such that, if p is false, then ¬p is true

if p is true, then ¬p is false.

Also remember that a proposition like:

p ∨ q

is true when, at least one, p or q, is true.

Then if we write:

p ∨ ¬p

Always one of these will be true (and the other false)

Then the statement is true.

And if the statement depends on some variable, then we will have that:

p(x) ∨ ¬p(x)

is true for all the allowed values of x.

from this, we can conclude that the statement that is always true is:

b; ∀x   P(x) ∨ ¬P(x)

Where here we have:

For all the values of x,   P(x)  ∨ ¬P(x)

7 0
3 years ago
HELP ME PLEASE I REALLY NEED IT!!!
alekssr [168]
6126!!!! You are welcome :) I just took this test today
8 0
3 years ago
Read 2 more answers
Can someone please find the volume of this shape and show work for how you did it??
castortr0y [4]

Answer:

221.4m^{3}

Step-by-step explanation:

To work out the volume of this shape you will first need to work out the area of the triangle. To work out the area of the triangle you would multiply the base of 12 by the height of 4.1, which gives you 49.2. You would then need to divide 49.2 by 2, which gives you 24.6. This is because the formula for the area of a triangle is the same as that of a square, however a triangle is half of a square with the same length and width. To work out the volume you would multiply the area of the triangle, which is 24.6 by the height of 9, which gives you 221.4m^{3}

1) Multiply 12 by 4.1.

12*4.1=49.2

2) Divide 49.2 by 2.

49.2/2=24.6

3) Multiply 24.6 by 9.

24.6*9=221.4m^{3}

6 0
3 years ago
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