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2 years ago

Help me answer this please:)

Mathematics

1 answer:

Dmitrij [34]2 years ago

6 0

Answer:

A and B

Step-by-step explanation:

$\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2$

Now, look at your answer choices, which options are less than or equal to -2?

x ≤ -2, Check your answers:

A. -3 ≤ -2?

This statement is correct (-3 is < -2)

B. -2 ≤ -2 <== our original answer

This statement is correct (-2 is = to -2)

C. -1 ≤ -2

This statement is incorrect (-1 is > -2, not ≤ -2)

D. 0 ≤ -2

This statement is incorrect (0 is > -2, not ≤ -2)

E. 1 < -2

This statement is incorrect (1 is > -2, not ≤ -2)

Therefore, the correct options are A and B

Hope this helps!

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Find the x-value for point C such that AC and BC from a 2:3 ratio.

Galina-37 [17]

Given:

Point C divides AB such that AC:BC=2:3.

To find:

The x-value for point C.

Solution:

Section formula: If a point divide a line segment in m:n, then

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).

Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are

$C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)$

$C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)$

$C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)$

$C=\left(-0.6,3\right)$

The x-value of C is -0.6.

Therefore, the correct option is B.

6 0

2 years ago

HELP PLEASE AND THANK YOU 4JAAB

Maslowich

Answer:

$\bold{Q13}\ \angle W\\\\\bold{Q14}\ \angle S\\\\\bold{Q15}\ side\ WA\\\\\bold{Q16}\ \triangle PTA$

Step-by-step explanation:

For Q13, Q14, Q15

$\text{for}\ \overline{WA}\ \text{and}\ \overline{AS}\ -\ A\ \text{is common}.\ \text{Therefore inclu}\text{ded angle is}\ \angle A\\\\\text{for}\ \overline{WS}\ \text{and}\ \overline{WA}\to\angle W\\\\\text{for}\ \overline{WS}\ \text{and}\ \overline{SA}\to\angle S\\\\============================$

$\text{Inc}\text{lude side between}\ \angle A\ \text{and}\ \angle W\ \text{is}\ AW\ (WA).\\\\\text{Inc}\text{lude side between}\ \angle S\ \text{and}\ \angle W\ \text{is}\ SW\ (WS).\\\\\text{Inc}\text{lude side between}\ \angle A\ \text{and}\ \angle S\ \text{is}\ AS\ (SA).$

Q16

$O\ \leftrightarrow\ T\\B\ \leftrightarrow\ A\\R\ \leftrightarrow\ P\\\\\text{Therefore}\ \triangle ROB\ \cong\ \triangle PTA$

7 0

3 years ago

Which equation would help solve for x?

timama [110]

Answer:

4x + 107 = 180

Step-by-step explanation:

105 + 4x + 2 = 180

3 0

2 years ago

Match the two numbers with their least common multiple (LCM).

Vsevolod [243]

Answer:

8 and 4 = 8

8 and 10 = 40

Step-by-step explanation:

The least common multiple is the smallest value that both numbers equal when you look at their multiples.

The multiples of 8 are 8, 16, 24, 32, 40...

The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32...

The multiples of 10 are 10, 20, 30, 40...

The first multiple 8 and 4 have in common is 8.

The first multiple 8 and 10 have in common is 40.

3 0

2 years ago

Answers to 1,2,or 3 of these 3

vivado [14]

4)
pine tree is most numerous on tree farm which is 40%

5)
if 480 trees total,
pine trees = 480 x 0.40 = 192 trees

6)
if 480 trees total,
spruce trees = 480 x 0.30 = 144 trees
(p.s. also firm trees = 144 (same as spruce trees)

7 0

3 years ago