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3 years ago

Which of the following does not give you enough information to find an equation of a line?

Mathematics

1 answer:

Mashcka [7]3 years ago

7 0

Answer:

Step-by-step explanation:

rate of change and slope have the same meaning; to only know the slope of a line isn't enough, you need also at least one point or intercept

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Find the value of x. X 3x + 1 N M 8x - 24

prohojiy [21]

IT IS GIVEN THAT XM= MY FROM THE DIAGRAM

<h2>THEREFORE</h2>

$3x + 1 = 8x - 24 \\ 3x - 8x = - 24 - 1 \\ - 5x = - 25 \\ \frac{ - 5x}{ - 5} = \frac{ - 25}{ - 5} \\ x = 5$

HOPE THIS HELPS

8 0

2 years ago

Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

2.21 and 2.23 are proved by contrapositive
2.22 is proved by induction

2.21: If $n^3$ is even, then n is even (By contrapositive)

The contrapositive of the above statement is that:

If n is odd, then $n^3$ is odd

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

i.e. If n is odd, then $n^3$ is odd

2.22 $3n + 4$ is even, if and only if n is even

We have: $3n + 4$

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

Hence, $3n + 4$ is even, if and only if n is even

2.22: $s \ne -1$ and $t \ne -1$ , then $s + t + st \ne -1$

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

7 0

3 years ago

Factor the expression. 4d + 12

Oksanka [162]

4d+12
Lets put out the 4 because it can also be pulled out of 12
4(d+3)

Shoutout to @Mdarrow01

Have an amazing day!

7 0

3 years ago

Read 2 more answers

Solve the following problem. Write the complete proof in your paper homework and for online (only) complete the probing statemen

Charra [1.4K]

Answer:

OM = ON by using concurrency of Δs BOM and DON

Step-by-step explanation:

In the figure ABCD:

∵ AB // CD

∵ CB // AD

∵ In any quadrilateral If every two sides are parallel then

it will be a parallelogram

∴ ABCD is a parallelogram

∴ AC and BD bisects each other at O ⇒ (properties of parallelogram)

∴ OD = OB ⇒ (1)

∵ BC // AD

∴ m∠CBD = m∠ADB ⇒ alternate angles

∵ M ∈ BC , N ∈ AD , O ∈ BD

∴ m∠MBO = m∠NDO ⇒ (2)

∵ BD intersects MN at O

∴ m∠MOB = m∠NOD ⇒ (3) (vertically opposite angles)

From (1) , (2) and (3)

∴ ΔBOM ≅ ΔDON

∴ OM = ON

3 0

3 years ago

Read 2 more answers

PLS HELP ILL GIVE BRAINLIST!

Bess [88]

The length of QP is is 38 because it is congruent to QR

4 0

3 years ago