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3 years ago

13

Will give brainliest if correct.

1 answer:

Hunter-Best [27]3 years ago

7 0

Answer:

$m=\frac{1}{2}$

General Formulas and Concepts:

<u>Pre-Alg</u>

Order of Operations: BPEMDAS

<u>Alg I</u>

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (3, 14)

Point (-13, 6)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{6-14}{-13-3}$
Subtract: $m=\frac{-8}{-16}$
Simplify: $m=\frac{1}{2}$

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Ivenika [448]

<u>SOLUTION TO QUESTION 1</u>

For $v-6\ge4$

We add $6$ to both sides of the inequality. This gives us

$v-6+6\ge4+6$

We simplify to obtain;

$v+0\ge10$

Hence,

$v\ge 10$

See the attachment for graph.

<u>SOLUTION TO QUESTION 2</u>

For the inequality $-5x$

We divide both sides by $-5$ and reverse the inequality sign because, we are dividing by a negative number. This implies that;

$\frac{-5x}{-5}> \frac{15}{-5}$

We simplify to get,

$x>-3$

See attachment for graph

<u>SOLUTION TO QUESTION 3</u>

For $3k>5k+12$

We group the terms in $k$ on the left hand side of the inequality,

$3k-5k>12$

We simplify to obtain;

$-2k>12$

We divide both sides by $-2$ and reverse the inequality sign because, we are dividing by a negative number again. This implies that;

$\frac{-2k}{-2}$

This simplifies to;

$k$

See attachment for graph.

<u>SOLUTION TO QUESTION 4</u>

Given the set {5,10,15}

All the possible subsets are;

{}, {5}, {10}, {15}, {5,10}, {5,15}, {10,15}, and {5,10,15}

<u>SOLUTION TO QUESTION 5</u>

For $2t\le-4 \: or\:7t\ge 49$

We divide through the first inequality by 2 and the second inequality by 7 to obtain;

$t\le-2 \: or\: t\ge 7$

Or

$t\le-2 , t\ge 7$

<u>SOLUTION TO QUESTION 6</u>

We have $|n+2|=4$

This implies that;

$(n+2)=4$ or $-(n+2)=4$

This implies that;

$n+2=4$ or $n+2=-4$

This simplifies to;

$n=4-2$ or $n=-4-2$

$n=2$ or $n=--6$

<u>SOLUTION TO QUESTION 7</u>

We have $|2x-7|>1$

This implies that;

$2x-7>1$ or $-(2x-7)>1$

We divide the second inequality by negative 1 and reverse the inequality sign.

$2x-7>1$ or $2x-7$

We group like terms to get,

$2x>1+7$ or $2x$

$2x>8$ or $2x$

We divide both inequalities by 2 to obtain;

$x>4$ or $x$

<u>SOLUTION TO QUESTION 8</u>

Given A={1,2,3,4,5,6,7,8,9}

and

B={2.4,6,8}

The union of A and B, are the elements in set A or set B or both.

$A \cup B$ ={1,2,3,4,5,6,7,8,9}

<u>SOLUTION TO QUESTION 9</u>

Given:

P={1,5,7,9,13}

R={1,2,3,4,5,6,7}

and

Q={1,3,5}

We apply our understanding of subsets to draw the Venn diagram.

See attachment for the Venn Diagram.

3 0

4 years ago

Which equation could be used to find the value of x in the triangle below?

Licemer1 [7]

2x+4x+10+6x-10=180 because all the angles of a triangle equal to 180 so u add up all the angles and set to 180. and x equals 15.

5 0

3 years ago

Need help please exams tomorrow

Romashka [77]

<u>Answer:</u>

The value of x is 14.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

ΔABC ≅ ΔEFG
21 x 2/3 = x

<u>Work:</u>

21 x 2/3 = x
=> 7 x 3 x 2/3 = x
=> 7 x 2 = x
=> 14 = x

Hence, <u>the value of x is 14.</u>

Hoped this helped.

7 0

3 years ago

tigry1 [53]

Hshshshgsvsvevrgeuuee

5 0

3 years ago

Which ordered pair represents the plotted point on the graph?

mezya [45]

Hope this helps but the answer is A.(-5,2)

7 0

3 years ago

Read 2 more answers