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2 years ago

HELP PLEASE :/ not too good in geometry sadly

Mathematics

2 answers:

Reil [10]2 years ago

5 0

Answer:

3rd option

Step-by-step explanation:

tanB = $\frac{opposite}{adjacent}$ = $\frac{AC}{BC}$ = $\frac{2x+4}{x+3}$

My name is Ann [436]2 years ago

5 0

The answer is hope this helps

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Match the parabolas represented by the equations with their foci.

Elenna [48]

Function 1 $f(x)=- x^{2} +4x+8$

First step: Finding when $f(x)$ is minimum/maximum
The function has a negative value $x^{2}$ hence the $f(x)$ has a maximum value which happens when $x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2$ . The foci of this parabola lies on $x=2$ .

Second step: Find the value of y-coordinate by substituting $x=2$ into $f(x)$ which give $y=- (2)^{2} +4(2)+8=12$

Third step: Find the distance of the foci from the y-coordinate
$y=- x^{2} +4x+8$ - Multiply all term by -1 to get a positive $x^{2}$
$-y= x^{2} -4x-8$ - then manipulate the constant of y to get a multiply of 4
$4(- \frac{1}{4})y= x^{2} -4x-8$
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is $12- \frac{1}{4}=11.75$

Hence the coordinate of the foci is (2, 11.75)

Function 2: $f(x)= 2x^{2}+16x+18$

The function has a positive $x^{2}$ so it has a minimum

First step - $x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4$
Second step - $y=2(-4)^{2}+16(-4)+18=-14$
Third step - Manipulating $f(x)$ to leave $x^{2}$ with constant of 1
$y=2 x^{2} +16x+18$ - Divide all terms by 2
$\frac{1}{2}y= x^{2} +8x+9$ - Manipulate the constant of y to get a multiply of 4
$4( \frac{1}{8}y= x^{2} +8x+9$

So the distance of focus from y-coordinate is $\frac{1}{8}$ to the north of $y=-14$
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: $f(x)=-2 x^{2} +5x+14$

First step: the function's maximum value happens when $x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25$
Second step: $y=-2(1.25)^{2}+5(1.25)+14=17.125$
Third step: Manipulating $f(x)$
$y=-2 x^{2} +5x+14$ - Divide all terms by -2
$-2y= x^{2} -2.5x-7$ - Manipulate coefficient of y to get a multiply of 4
$4(- \frac{1}{8})y= x^{2} -2.5x-7$
So the distance of the foci from the y-coordinate is - $\frac{1}{8}$ south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when $x=8.5$ and $y=79.25$ . The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when $x=-2.75$ and $y=-10.125$ . Manipulating coefficient of y, the distance of foci from y-coordinate is $\frac{1}{8}$ to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when $x=1.5$ and $y=9.5$ . The distance of the foci from the y-coordinate is $\frac{1}{8}$ to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0

2 years ago

Can you please help me

monitta

Answer:

I dont understand what their asking but there are three problems I do know. 2x+5=19 is a equation A=2l+2w is an equation and 3w+4 is an expression.

Step-by-step explanation:

5 0

2 years ago

The of -6 is 6, because it is 6 units from zero on

Ilya [14]

Answer: The absolute value of -6 is 6 because it is 6 units away from zero on the number line

In terms symbols, we use vertical bars like this

|-6| = 6

to represent absolute value. Absolute value is distance from zero on a number line. Negative distance is not possible.

8 0

1 year ago

Simplify -3c+5d+3c-d

Rina8888 [55]

Answer:

$4d$

-3x+3c+5d-d

=0+4d

=4d

8 0

2 years ago

Read 2 more answers

PLEASE HELO OK 1,3,4 ITS DUE TOMORROW

sukhopar [10]

#1. The number line goes by intervals of 0.2, so if A is equal to 7.28, then it’ll go in between the first line after 7 and the second line after 7. This is similar with B and C. B will go on the second line after 9, and C will go in between the second and third line after 10.

#3. You started out well. You combine your like terms on the sides of the equation to get 8x - 2 = 4x + 6. Then, you’ll subtract 4x to get 4x - 2 = 6. Add 2 to get 4x =8, then divide by 4 to get x = 2. On the other one, combine your terms to get -6 + 5y = 29. Then, add 6 so you have 5y = 35. Divide by 5 to get y = 7.

#4. When you classify a number, you need to classify it as whatever it is in your disgramdiagram, and the larger ones as well. For example, -2 is an integer, so it is also a rational number. 3/4 is a rational number. The square root of 2 over 2 is an irrational number. 292 is a counting, whole, integer, and rational number. -19/3 is a rational number. 6.9696... is an irrational number. (It has the three dots [...] so it’ll go on forever with no pattern.)

I hope this helps! Please tell me if you need any clarification. :)

3 0

2 years ago

Read 2 more answers