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3 years ago

Explain how to solve the equation x + 6 = 24

Mathematics

2 answers:

Arturiano [62]3 years ago

6 0

Answer:

x=18

Step-by-step explanation:

You have to do the inverse of adding so 24-6=18

jeka57 [31]3 years ago

5 0

You need to subtract 6 from 24 because it’s the inverse operation of addition which will help you find the unknown value, x.

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lisabon 2012 [21]

Answer:

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5 0

3 years ago

Find two consecutive odd integers whose product is 1443

liberstina [14]

Let's x represents the first odd integer

The next consecutive integer would be represented as x+2.

So x and x+2 being multiplied together will give us 1443:

(x)(x+2)=1443

x^2+2x=1443

x^2+2x-1443=0

By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.

Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.

With that said you 1st pair will be: 37,39

Your second pair will be: -37,-39.

6 0

2 years ago

Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.

Igoryamba

Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.

5 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLESS <br>factor the polynomial

Svetach [21]

Answer:

Step-by-step explanation:

This is factor by grouping. In factor by grouping, write a quadratic trinomil as 4 terms and group by parenthesis. Then factor by GCF in each pair. If the two parenthesis match, the factoring has worked and the factors will be the GCFs as one and the parenthesis as one other.

The factors here are the GCFs $2x^2$ and -3 as $(2x^2-3)$ and the parenthesis (x-5).

4 0

3 years ago

Select all the statements that are true

masya89 [10]

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of $\frac{3}{2}$ centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = $\sqrt{(0+4)^2+(6+4)^2}$

= 10.77

Distance between M' and N' = $\sqrt{(0+6)^2+(6+6)^2}$

= 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

3 0

2 years ago