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3 years ago

Hey! please help i’ll give brainliest

Mathematics

2 answers:

Tcecarenko [31]3 years ago

8 0

Answer:

Family - son

Step-by-step explanation:

I think that is the answer

svetlana [45]3 years ago

5 0

Answer:

Step-by-step explanation:

pls mark brainliest

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Tell whether the ratio is in simplest form. if not, write it in simplest form . then write the ratio in two other ways.'

Gwar [14]

It's a deal.
Tell us the ratio, and we'll get right to work on it.

4 0

3 years ago

Write an equation (a) in slope intercept form and (b) in standard form for the line passing through (1,9) and perpendicular to 3

maxonik [38]

Answer:

$\large\boxed{a)\ y=\dfrac{5}{3}x+\dfrac{22}{3}}\\\boxed{b)\ 5x-3y=-22}$

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\m-slope\\b-y-intercept\\\\\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================\\\\\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope-intercept form.}\\\\3x+5y=1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\5y=-3x+1\qquad\text{divide both sides bvy 5}\\\\y=-\dfrac{3}{5}x+\dfrac{1}{5}\to m_1=-\dfrac{3}{5}$

$a)\\\\y=m_2x+b\\\\m_1=-\dfrac{3}{5}\to m_2=-\dfrac{1}{-\frac{3}{5}}=\dfrac{5}{3}\\\\\text{Put the value of slope and the coordinates of the given point (1, 9)}\\\text{to the equation of a line:}\\\\9=\dfrac{5}{3}(1)+b\\\\9=\dfrac{5}{3}+b\qquad\text{subtract}\ \dfrac{5}{3}\ \text{from both sides}\\\\\dfrac{27}{3}-\dfrac{5}{3}=b\\\\\dfrac{22}{3}=b\\\\\text{Finally:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}$

$b)\\\\\text{The standard form of an equation of a line:}\\\\Ax+By=C\\\\\text{Convert the equation}\ y=\dfrac{5}{3}x+\dfrac{22}{3}\ \text{to the standard form:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}\qquad\text{multiply both sides by 3}\\\\3y=5x+22\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+3y=22\qquad\text{change the signs}\\\\5x-3y=-22$

6 0

3 years ago

A rectangular prism has a height of 8 feet and a volume of 640 feet what is the area of the base of the prism

sp2606 [1]

The volume of a prism = area of the base * height

substitute:
640 = A * 8

base area=80 sq ft<span />

5 0

3 years ago

Find all of the zeros of the function f(x) = x^3 + 5x^2 + 6x. If there is more than one answer, enter your answers as a comma se

suter [353]

<h2>Answer:</h2>

There are more than one zero i.e. three zeros of the given polynomial.

The zeros are:

$x=0,-2,-3$

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

We are given a function f(x) by:

$f(x)=x^3+5x^2+6x$

We know that the zeros of the function f(x) are the possible values of x at which the function is equal to zero.

Hence, when f(x)=0 we have:

$x^3+5x^2+6x=0\\\\i.e.\\\\x^3+3x^2+2x^2+6x=0\\\\i.e.\\\\x^2(x+3)+2x(x+3)=0\\\\i.e.\\\\(x^2+2x)(x+3)=0\\\\x(x+2)(x+3)=0\\\\i.e.\\\\x=0\ or\ x=-2\ or\ x=-3$

7 0

3 years ago

What is the area of a trapezoid with one base being 10 units, another base being 14 units, and a height of 6 units?

kolbaska11 [484]

Answer:

A=72

Step-by-step explanation:

A=a+b

2h=10+14

2·6=72

A=72

4 0

3 years ago