Solve the equation –15 + 10y = 25 for y.

Answer:

The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

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

If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:

[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]

[tex](h,k) = (2,0) + (2, 7)[/tex]

[tex](h, k) = (4, 7)[/tex]

The length of each semiaxis is, respectively:

[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]

[tex]a = 3[/tex]

[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]

[tex]b = 7[/tex]

The standard equation of the ellipse is described by the following formula:

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

Where:

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

[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.

If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:

[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]

Answer:

Second one: (1,2) (2,4) (3,6)

Step-by-step explanation:

y = 2x

2 = 1(2)

4 = 2(2)

6 = 2(3)

Answer:

(1,2),(2,4),(3,6)

Step-by-step explanation:

y = 2x

y = 2(1)

y = 2

y = 2x

y = 2(3)

y = 6

y = 2x

y = 2(2)

y = 4

x axis and y axis of each coordinate match with equation

Answer:

6(2x + 3y)

Step-by-step explanation:

6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.

The factorize form of the expression  12x + 18y is 6(2x+3y)

An expression is combination of variables, numbers and operators.

The given expression is  12x + 18y

Twelve times of x plus eighteen times of y

x and y are the variables in the expression

Let us factorize the expression

The Gcd of 12 and 18 is 6

So take 6 as common from the expression

6(2x+3y)

Hence, the factorize form of the expression  12x + 18y is 6(2x+3y)

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Answer:

6 =h

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

12 = 1/2 (4) h

12 =2h

Divide each side by 2

12/2 = 2h/2

6 =h

Answer:

H0 : p = 0.5

H1 : p > 0.5

Step-by-step explanation:

The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is

Since, p is the proportion who prefer the regular day time program;

The hypothesis to test is :

If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.

The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.

The null ;

H0 : μ = 0.5

Answer:

2.4x-4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

DISTRIBUTE: 1.2x-2.4+1.2x-2

COMBINE LIKE TERMS: 2.4x-4.4

your answer is: 2.4x-4.4

Answer:

Step-by-step explanation:

*There is an acute isosceles (don't know if I am spelling any of these correct)

*Right Scalene

*right isosceles

*equilateral

Those are some of the ones that I found

Answer:

15

Step-by-step explanation:

the steps are in the pic above

Answer:

-118 at (-2, 6)

Step-by-step explanation:

See the attached image of the graph!  I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading!  The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon.  I put big red dots on the corner points.  Those points are:

(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)

Plug these coordinates into the expression P = 3x - 25y + 38  to get a value at each of the corner points.  Pick out the smallest value.

See the other attached image for those values.

Careful graphing is essential!

9514 1404 393

Answer:

  B.  a = 10√3, b = 5√3,  c = 15, d = 5

Step-by-step explanation:

When you examine the angles of these triangles, you see that all of the triangles are 30°-60°-90° triangles, so ratios of corresponding sides are the same.

Examining the answer choices, you see that all of them agree that ...

  a = 10√3, c = 15

Since b is the long leg of the smallest triangle, you know that b > d. This is only the case in answer choices B and D.

The leg marked 'a' is the long leg of the largest triangle, whose short leg is 10. That is the ratio of the longer to shorter legs is 10√3 : 10 = √3 : 1. The ratio of 'b' to 'd' needs to be the same, matching only answer choice B.

__

The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2. This tells you that ...

  d = 10/2 = 5

  c+d = 10×2 = 20   ⇒   c = 20 -5 = 15

  b = 5√3

  a = 10√3

As a check, c = b×√3 = (5√3)(√3) = 5·3 = 15. (matches above)

Answer:

5.625

Step-by-step explanation:

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

5.625 grams of fat are in 3.75 servings.

You just have to multiply 1.5 by 3.75 which is 5.625.

So there are 5.625 grams of fat in 3.75 servings.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

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Answer:

d equal 10 this is the answer

Answer:37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

First, sort the data in increasing order.

15, 28, 32, 42, 44, 48

The number of data is even (there are 6 numbers), so there isn't one in the middle.  In that situation, you average the middle 2 data (32 and 42).

(32 + 42)/2 = 74/2 = 37

If there IS a middle numbe, just use it.

Answer:

w=-8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22=-6w-42

8w+22=-42

8w=-64

w=-8

Therefore, w=-8

Answer:

w = -8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22 = -6w - 42

8w +22 = -42

8w = -64

w= -64/8

w = -8

Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the value of the given expression i.e.

3⁷ × 3⁻⁴

We know that, one of the property of exponent is:

[tex]x^{-a}=\dfrac{1}{a}[/tex]

So,

[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]

Hence, the correct option is (b).

Answer:

Step-by-step explanation:

When interest compounds once per year, the formula for this is

[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate at which it grows, and t is the time in years. Therefore, our model is

[tex]A(t)=6500(1+.03)^t[/tex] or simplified a bit:

[tex]A(t)=6500(1.03)^t[/tex]

Answer:

Diffrence is the mean of differential

Answer:

45

Step-by-step explanation:

Answer:

2. right

3.obtuse

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the scale factor of RSTU to R'S'T'U' is 1/3

Step-by-step explanation:

look at the graph and count how many squares are needed for the line RS (3) and how many for the line R'S' (9).

this is 1:3 or 1/3

all other sides follow the same ratio.

the point P is diagonally one square down from S and 3 squares down from S'.

Answer:

yes the answer is 456

Step-by-step explanation:

Answer:

A= πr^2

45=πr^2

45/1 =22/7×r^2

45/1=22r^2/7 cross multiply

22r^2 ×1=45×7

22r^2=315 divide both sides by 22

22r^2/22=315/22

r^2=14.318

Answer:

hope it helps uh

Answer:

0.15

Step-by-step explanation:

Answer:

angle y = 49°

Step-by-step explanation:

If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.

Answer:

8P3 = 336

9C4 = 126

Step-by-step explanation:

8P3 = 8! ÷ 5!  =  8x7x6 = 336

9C4 = 9! ÷ (5!·4!)  =  (9x8x7x6) ÷ (4x3x2) = 126

Answer:

4567,4678..............

Answer:

6x-4+3x+4=180{ straight angel}

Answer:

-19.

Step-by-step explanation:

-19+31 gets you 12.