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NNADVOKAT [17]
3 years ago
6

What is the following product? 3√10(y^2√4 + √8y)

Mathematics
2 answers:
Elenna [48]3 years ago
8 0

Answer:

6y^2√10 +12y √5

Step-by-step explanation:

3√10(y^2√4 + √8y)

Distribute

3√10(y^2√4) +3√10 (√8y)

3y^2 √40+3y√80

We know that √ab = √a√b

3y^2 √4*√10+3y√16√5

3y^2 *2*√10+3y*4√5

6y^2√10 +12y √5

tatiyna3 years ago
8 0
<h2>Answer:</h2>

<u>The product is</u><u> 18.973666y2+26.832816y</u>

<h2>Step-by-step explanation:</h2>

3√10(y2√4+√8y)

Let's simplify step-by-step.

18.973666y2+26.832816y

As we see

There are no like terms.

So

The product is =18.973666y2+26.832816y

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What is the product of (-a+3)(a+4)?<br><br> a^2-a+12<br> a^2-a-12<br> -a^2-a-12<br> -a^2-a+12
Damm [24]

Answer:

-a^2 + -a + 12

Step-by-step explanation:

Expand the following:

(3 - a) (a + 4)

(3 - a) (a + 4) = (3) (a) + (3) (4) + (-a) (a) + (-a) (4):

-a a + 3 a - 4 a + 3 4

3×4 = 12:

-a a + 3 a - 4 a + 12

-a a = -a^2:

-a^2 + 3 a - 4 a + 12

Grouping like terms, -a^2 + 3 a + 4 (-1) a + 12 = -a^2 + (3 a - 4 a) + 12:

-a^2 + (3 a - 4 a) + 12

3 a - 4 a = -a:

Answer: -a^2 + -a + 12

4 0
3 years ago
Read 2 more answers
Find the equation of the line that is parallel to the given line and passes through the given point
Sati [7]

Answer:

\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}

\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}

x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1

\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4

5 0
3 years ago
Side length 6cm ,6cm, 4cm. How many different triangles can you make ?
Klio2033 [76]

Answer:

Technically, one (they equal the same thing) but 2 in this case.

Step-by-step explanation:

6 + 6 + 4

6 + 4 + 6

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THIS QUESTION ASAP
Liono4ka [1.6K]

Answer:

y=5x+(-19)

Step-by-step explanation:

Refer to the picture that given

3 0
2 years ago
Find the slope of the line through the points (1,−8) and (−9,−10). Provide your answer as a fraction simplified in lowest terms.
Vlad [161]

Answer:

1/5

Step-by-step explanation:

-8-(-10) 2 1

---------- = ------ = --------

1-(-9) 10 5

4 0
3 years ago
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