Can someone help me with this. Will Mark brainliest.

Answer:

x = -1/3 or x = -4

Step-by-step explanation:

Answer:

x= [tex]\frac{-1}{3}[/tex]

x= -4

Step-by-step explanation:

[tex]6x^2+28x-2=2x-10[/tex]

Subtract 2x - 10 from both sides.

[tex]6x^2+26x+8=0[/tex]

[tex]x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/ \sqrt{676-192} }{2(6)}[/tex]

x= [tex]\frac{-26+/\sqrt{484} }{2(6)}[/tex]

x= [tex]\frac{-26+/22}{12}[/tex]

x= [tex]\frac{-26+22}{12}[/tex]  = -0.33333333333333 = -1/3

x= [tex]\frac{-26-22}{12}[/tex]= -4

Step-by-step explanation:

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Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)

Where:

[tex](h,k)[/tex] - Coordinates of the center of the ellipse.

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Answer:

56

Step-by-step explanation:

x=5

so x for the gym is 5 and x+3=5+3=8

add 5 and 8 because that is a whole side.

we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30

add the 26 and 30

Answer:

go through the other door and get your dog... and then just wait for a parent to fix the door so you dont rip it of the rims

Step-by-step explanation:

Answer:

Just go out through the backdoor and save your dog and wait for your parents duh

Answer:

17.6

Step-by-step explanation:

Answer:

813.681818182

(That's the exact number, but you can circle it to 813.7 )

Step-by-step explanation:

459%22=20.8636363636

20.8636363636 x 39= 813.681818182

Answer:

3 ) Acute

Step-by-step explanation:

Acute Angle - An angle less than 90 degrees.

Right Angle - An angle that is exactly 90 degrees.

Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.

Straight Angle - An angle that is exactly 180 degrees.

Answer:

3)Acute

Step-by-step explanation:

any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle

Answer:

Step-by-step explanation:

According to figure,

54° + 3x+36° = 180° [Linear pair]

=> 3x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

[tex] = > x = \frac{90}{3} [/tex]

=> x = 30 (Ans)

Answer:

x=30

Step-by-step explanation:

cuz that line is 180 degrees and using algebra you can subtract 54 from both sides and get 126 then u have to subtract the 36 from both side to geth 90 and then divide the 3x to get x by itself which would leave u with 30 so x=30

Answer:

me kown it

Step-by-step explanation:

Answer:

2.9 km

Step-by-step explanation:

Just add up the two distances:  2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total

Answer:

p-3=8.25

p=11.25

Answer:

p - 3 = 8.25 and 11.25

Step-by-step explanation:

hi there!

the question is asking us to first find out which equation we can use to solve this wordy problem.

its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.

knowing that now, our answer is p - 3 = 8.25 or 4 !

now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it

3 + 8.25

= 11.25

p = 11.25 <---------------- our final answer!

i hope this helped you! i hope you have a good rest of your day :)

( im sorry if this this late!! )

Answer:

270 cm3

Step-by-step explanation:

The volume of the given rectangular prism is 270 cm³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have

Length = 9 cm

Width = 2 cm

Height = 15 cm

Using the formula for volume of the rectangular prism

= length x width x height

= 9 x 2 x 15

= 270 cm³

Thus, the volume of the given rectangular prism is 270 cm³.

Learn more about Volume here:

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Answer:

60.1°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Sine

sin x = Opposite/Hypotenuse

x = Angle of Depression

Opposite = 15ft

Hypotenuse = 17.3ft

sin x = 15ft/17.3ft

x = arc sin (15ft/17.3ft)

x = arcsin(0.8670520231213873)

60.117851927°

Approximately Angle of depression = 60.1°

A=b h................

Answer:

A = 20

Step-by-step explanation:

A = bh

b = 4

h = 5

4 × 5 = 20

The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

We have given that,

A function has a vertical asymptote at a certain x-value, then the function------ is at that value.

We have to determine the value and fill in the blank.

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

Therefore option D is correct.

Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

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Answer:

D. undefined

Step-by-step explanation:

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

And,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

We know that,

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Answer:

x=3, HED =39

Step-by-step explanation:

Solution :

[tex]10x + 21 + 13x = 90[/tex]

[tex]23x = 90 - 21[/tex]

[tex]23x = 69 = > x = 3[/tex]

Angle HED = 13 × 3 = 39°

Hope this helps!

Answer:

they try to hack you and steal information that others should not know!! always report them.

Step-by-step explanation:

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

[tex]A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2[/tex]

Area of square,

[tex]A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2[/tex]

Now, probability is given by :

[tex]P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785[/tex]

Therefore, the probability that the point is inside the circle is 0.785 .

Answer:

Step-by-step explanation:

Incomplete question, but if my guess is correct, you're trying to determine which is a better deal between the two. I will go with the second one. The $650/month rent.

I choose so because, $800/month totals to $9600 at the end of the year. While $650/month totals to $7800 per year. Again, with the $650/month, if you try to leave before the end of the year, say 11 months even, you pay a penalty of $1300, which still leaves you on the profit side. And the whole idea of choosing is to find which is more beneficial and cost effective.

Answer:

1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.

2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)

example :

in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be

Y=10x + 20

therefore if she worked zero hours

(Y=10(0) + 20),

she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.

thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.

3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.

In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.

relations does not create a straight line but instead creates a curve.

Answer:

d

Step-by-step explanation:

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Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the angles in the triangle and equate to 180

2x + x + 30 + 90 = 180

3x + 120 = 180 ( subtract 120 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

D. a109=-1,953

Answer:

the nearest thousand would be 6000

Step-by-step explanation:

above 6500 would have been 7000

Answer:

6000

Step-by-step explanation: