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3 years ago

What are the solutions to the equation?

2 answers:

6 0

The equation is very easy to solve since there is a quadratic formula that we can apply in the problem.
With the given equation 5w2+10w=40, we can arrange the problem into 5w2+10w-40=0.
a=5, b=10, c=-40
By applying quadratic formula, the answers are 2 and -4.

Virty [35]3 years ago

4 0

Solution:

$5 w^2+10 w=40\\\\ 5(w^2+2 w)=8 \times 5 \\\\ w^2+2 w=8\\\\ w^2 + 2 w -8=0\\\\ w^2+ 4 w - 2 w -8=0\\\\ w \times(w +4)-2 \times(w+4)=0\\\\ (w-2)(w+4)=0\\\\ w-2=0 {\text{and}} w+4=0 \\\\ w=2 {\text{and}w=-4$

So, the solution of the equation ,

$5 w^2+10 w=40$

is , w=2 , -4.

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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.

o-na [289]

Answer: $\text{Length of AG=}\frac{2\sqrt{63}}{3}$

Explanation:

Please follow the diagram in attachment.

As we know median from vertex C to hypotenuse is CM

$\therefore CM=\frac{1}{2}AB$

We are given length of CG=4

Median divide by centroid 2:1

CG:GM=2:1

Where, CG=4

$\therefore GM=2$ ft

Length of CM=4+2= 6 ft

$\therefore CM=\frac{1}{2}AB\Rightarrow AB=12$

In $\triangle ABC, \angle C=90^0$

Using trigonometry ratio identities

$AC=AB\sin 30^0\Rightarrow AC=6$ ft

$BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3}$ ft

$CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3}$ ft

In $\triangle CAN, \angle C=90^0$

Using pythagoreous theorem

$AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}$

Length of AG=2/3 AN

$\text{Length of AG=}\frac{2\sqrt{63}}{3}$ ft

5 0

3 years ago

Please help!!!!!!!!!!!!!!!!!

Leokris [45]

Answer:

The domain of a function is defined as the set of x-values for which the function is real and defined. The first alternative is correct

Step-by-step explanation:

3 0

3 years ago

What is slope-intercept form? Why do we write equations using this form?

Brums [2.3K]

Slope intercept form is y=mx+b
m=slope
b=y-intercept

the slope is the rate of change of the graph, basically rise/run (change in y divided by change in x)

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we usually use this form because we can find the slope and find where it hits the y axis.
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7 0

3 years ago

5s + 7s????????????????

natali 33 [55]

Answer:

12s

Step-by-step explanation:

5s + 7s = (5 + 7) s= 12s

This is your answer

8 0

3 years ago

Read 2 more answers

Integral sqrt(4+3x) dx

Alisiya [41]

Let 4 + 3x = u

then 3dx = du

or, 1/3∫u√du

= 1/3u^3/2/(3/2)

= 2/9∗(4+3x)^3/2

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago