isaac parents paid $3,200 per month to rent an office space for their own business. Of this amount, $325 was for the utilities. What percent of their rental cost was for the utilities

The values of a, b, h, and k, given the equation below;

[tex]\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1[/tex]

Given

An ellipse has vertices along the major axis at (0, 8) and (0, –2).

The foci of the ellipse are located at (0, 7) and (0, –1).

It can be seen that the major axis is parallel to the y axis.

The major axis points are;

(h, k +a) = (0, 8)

(h, k -a) = (0, -2)

Here, k + a = 8

k - a = -2

Subtracting the equations;

k + a - k + a = 8 + 2

2a = 10

a = 10/2 = 5

The foci are;

(h, k +c) = (0, 7)

(h, k -c) = (0, -1)

Here, k + c = 7

k - c = -1

Subtracting the equations;

k + c -k + c = 7+ 1

2c = 8

c = 8/2 = 4

The foci are given by;

[tex]\rm c^2=a^2-b^2\\\\b=\sqrt{a^2-c^2} \\\\b = \sqrt{5^2-4^2}\\\\b = \sqrt{25-16} \\\\ b =\sqrt{9}\\\\ b=3[/tex]

The equation is;

[tex]\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1[/tex]

To know more about ellipse click the link given below.

https://brainly.com/question/10153896

Answer:

45

Step-by-step explanation:

Because 15 plants is 25% of 60 plants

Hope it helps :)

Answer:

c

Step-by-step explanation:

t(a+2)= 3+a+2/a+2-3= 5+a/a-1

Hello!

0,9^2

0,9²

0,9 × 0,9

0,81

The value of the power 0,9^2 is 0,81

_____________________________

Answer:

c. 13 23/45

d. -9/5

Step-by-step explanation:

explanation for c:

(5+8)+(1/9 +2/9) and then add the numbers so it will be

13+23/45 ----> 13 23/45

--------------------------------------------------------------------------------------------------

explanation for d:

convert decimal into fraction------> -6/5-3/5

calculate the difference -------> -9/5 and now you got your answer!!

Answer:

3,000 words

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

just did the test

Answer: D

Step-by-step explanation:

If you look at the quadratic formula, we see that b=5, a=5, and c=3.

So ax^2 + bx + c = 0 -> 5x^2 + 5x + 3 = 0

From step 1 to step 2 they added 3 squares.

From step 2 to step 3 they added 5 squares.

Each step they add the next odd number in sequence: 3,5,7,9,etc.

So for step 4 they would add 7 more squares. Add 7 to the number of squares in step 3 for total squares:

7 + 9 = 16

step 4 will have 16 squares.

Answer:

2x-1

Step-by-step explanation:

⇒ [tex]4x-4-2x+3\\\\[/tex]

⇒ [tex]4x-2x-4+3[/tex]

⇒ [tex]2x-1[/tex]

Hence, 2x-1 is equivalent to 4x – 4 – 2x + 3.

Hope it will help you.

Answer:

2x - 1

Step-by-step explanation:

4x - 2x - 4 + 3

2x - 1

hope this helps

Answer:

Domain :( 6,4,3,-1 ) = x values

Range :( 1,-3,2 ) = y values

Answer:

(6,4,3,-1) is the domain

And (1,-3,2,-3) is the range

Step-by-step explanation:

Always remember that first component is the domain and the last component is the range

Answer:

  S" = (-3/2, 9/2) = (-1.5, 4.5)

Step-by-step explanation:

The two dilation factors multiply each other, so the dilation of the final image relative to the initial figure is (3/2)(1/2) = 3/4.

  S" = 3/4S = 3/4(-2, 6)

  S" = (-3/2, 9/2) = (-1.5, 4.5)

The coordinates of point S"  are (-3/2, 9/2) = (-1.5, 4.5)

This involves the use of one or more numbers to uniquely determine the position of the points or other geometric elements.

We have to multiply the dilation factors which will result in:

(3/2)(1/2) = 3/4.

S" = 3/4S = 3/4(-2, 6)

S" = (-3/2, 9/2) = (-1.5, 4.5)

Read more about Coordinates here https://brainly.com/question/17206319

Answer:

4/18 and 15/18

Step-by-step explanation:

trust me bro

Answer:4/18 and 15/18

Step-by-step explanation:trust the progres kk

Answer: (x,y) = (5,2)

In other words, x = 5 and y = 2

====================================================

Explanation:

Subtract the equations straight down.

We end up with 6y = 12 which solves to y = 2 after dividing both sides by 6.

Now use this y value to find x.

If we used the first equation, then we have these steps

3x+4y = 23

3x+4(2) = 23

3x+8 = 23

3x = 23-8

3x = 15

x = 15/3

x = 5

Or we could use the second equation

3x-2y = 11

3x-2(2) = 11

3x-4 = 11

3x = 11+4

3x = 15

x = 15/3

x = 5

We get the same x value either way.

The solution is (x,y) = (5,2)

To check the answer, plug those coordinates into each equation. After simplifying, you should get the same number on both sides.

------------------

Check:

3x+4y = 23

3(5)+4(2) = 23

15+8 = 23

23 = 23 .. that works

and,

3x-2y = 11

3(5)-2(2) = 11

15 - 4 = 11

11 = 11 .. that works as well

Both original equations are true for those x and y values.

The solution is fully confirmed.

Answer:

G is not TRUE.

Step-by-step explanation:

using the law A+B = B+A

PYTHAGOREAN THEOREM

A²+B² =C² is equal to B² +A² = C²

So for A²,

B² - c² = A. remember if a positive number move from the left to the right over an equal sign it becomes negative and vice versa

B²

C² - A²= B²

Hey there!

7x = 1.35

DIVIDE 7 to BOTH SIDES

7x/7 = 1.35/7

CANCEL out: 7/7 because it give you 1

KEEP: 1.35/7 because it give you the x-value

NEW EQUATION: x = 1.35/7

SIMPLIFY IT!

x = 0.192857

x ≈ 192,857/1,000,000

Therefore, your answer is:

x = 0.192857 or x = 192,857/1,000,000

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The value of R is -0.5212

This is a moderate negative correlation, which means there is a tendency for high X variable scores to go with low Y variable scores (and vice versa).

Step-by-step explanation:

Answer:

65,93 cm or what is it is x

Answer:

Step-by-step explanation:

The given diagram shows two points labeled B. Rename the one on segment CD as E.

We assume that AE is supposed to be the bisector of angle A. Since triangle ABC is isosceles, segment AE will be perpendicular to BC. In that case, triangle EBC is also isosceles, which means BE is also 6 cm.

Angle ABC is exterior to triangle BCD, so has a measure that is the sum of angles BDC and BCD. That is, angle ABC is 2y+y=3y. Angle CBE is also y, so angle ABE will be 3y+y=4y. This exterior angle to triangle BED is the sum of angles BED and BDE. We know BDE is 2y, so BED is 4y-2y=2y, which means triangle BED is isosceles and BD=BE=EC=x=6 cm.

__

Finding the measure of angle y is a bit tricky. We know that angle ABC is 3y, and angle EBC is y. If we say X is the midpoint of BC, where AE crosses BC, then we can write the trig relations ...

  BX=BA·cos(3y)

  BX=BE·cos(y)

Filling in the measures of BA and BE, we can equate expressions for BX to get ...

  8cos(3y) = 6cos(y)

Using the trig identity for cos(3y), we can write this as ...

  8(4cos(y)³ -3cos(y)) = 6cos(y)

  32cos(y)³ -30cos(y) = 0

  2cos(y)(16cos(y)² -15) = 0

This has solutions cos(y)=0 and cos(y) = ±√(15/16). We are interested in the positive solution only:

  y = arccos(√15/16) ≈ 14.478°

The value of y is about 14.5°.

Answer:multiply base times height

Step-by-step explanation:

V=lwh

V=bh

lw=V

Step-by-step explanation:

x+3x+90=360

4x=360-90

x=270/4

x=67.5

Answer:

x=67.5°

Step-by-step explanation:

x + 3x= 270°

(x + 3x) → 4x

4x=270

4x/4=270/4

x=67.5°

Hope it helps! :)

Answer:

[tex]\sqrt{22}\approx5[/tex]

Step-by-step explanation:

We know that [tex]\sqrt{16}=4[/tex] and [tex]\sqrt{25}=5[/tex], so since 22 is closest to 25, then we can say that [tex]\sqrt{22}\approx5[/tex]

Answer:

22/3=8/3=2.66

if 12 servings =2.6 cup of flour

...18 servings=???????

18×2.6/12=3.9

the answer is 3.9

Not sure for (b)

Step-by-step explanation:

(a)55+80+x=180 (angles inside the triangle)

135+×=+180

x=180-135

x=45

Answer:

The equations which represents the situation are

1) 2Y+X=5

2) 5X-Y=3

Step-by-step explanation:

~Cornasha_Weeb

Answer:

23.6

Step-by-step explanation:

A=1/2abSinC

A=1/2*6*8*Sin80

= 24 * Sin 80

=23.635

Not sure if this is 100% correct Sowwie

Answer:

True

Step-by-step explanation:

We know that [tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex], [tex]sin\theta<0[/tex] in Quadrant III, and [tex]cos\theta<0[/tex] in Quadrant III. Thus, x is indeed negative since [tex]cos\theta<0[/tex].

Answer:

x = 59

Step-by-step explanation:

[tex]\sqrt[3]{2x+7}[/tex] = 5 ( raise both sides to the power of 3 )

([tex]\sqrt[3]{2x+7}[/tex] )³ = 5³

2x + 7 = 125 ( subtract 7 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

The different groups of 5 can be formed from the 10 volunteers is,

⇒ 252

Permutation and Combination form the principles of counting and they are applied in various situations.

A permutation is a count of the different arrangements which can be made from the given set of things. In permutation the details matter, as the order or sequence is important.

Here given that,

A blood bank needs 5 people to help with a blood drive. 10 people have volunteered.

Here, We get;

The different groups of 5 can be formed from the 10 volunteers is,

⇒ ¹⁰C₅

⇒ 10! /5! 5!

⇒ 10×9×8×7×6 / 5×4×3×2

⇒ 252

Thus, The different groups of 5 can be formed from the 10 volunteers is,

⇒ 252

To know more about the permutation and combination

brainly.com/question/13715183

#SPJ2

Answer:

78

Step-by-step explanation:

is there more to this problem?

13. 00* 6 = 78