All categories

3 years ago

Factor Completely 8y^2+14y+3

Mathematics

1 answer:

wel3 years ago

8 0

Answer:

(4y+1)(2y+3)

Explanation:

Factor 8y^2 + 14y + 3

8y^2 + 14y + 3

= (4y + 1)(2y + 3)

You might be interested in

Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

Step 1

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

Step 2

Using the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

$|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}$

Step 3

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

Segment GH, G (4, 3), H (1, 0)

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

Step 4

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH| $= \frac{0-3}{1+2} =\frac{-3}{3}=-1$

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| $=\frac{3-6}{4-1} =\frac{-3}{3}=-1$

Step 5

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

Step 7

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0

3 years ago

Read 2 more answers

All polyhedrons are prisms or pyramids. True or false

JulsSmile [24]

Answer:

Step-by-step explanation:

False (APEX)

3 0

3 years ago

Read 2 more answers

Hi plz help, if you can ill mark you 5 starz! :)

weqwewe [10]

Answer:

Step-by-step explanation:

Part A= 59.11

Part B: i think is B

I hope this helps :))

5 0

3 years ago

Read 2 more answers

Ents

Natali5045456 [20]

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y

5 0

2 years ago

Write -3/16, 7/4, -3/8 in order least to greatest

Katyanochek1 [597]

The answer is b: -3/8, -3/16, 7/4

7 0

3 years ago

Read 2 more answers

Factor Completely 8y^2+14y+3​

Factor Completely 8y^2+14y+3