Solve 8y - 9 = -3y + 2​

Answer:

X= y/2-2

Step-by-step explanation:

Well to isoalte x just do the same thing you would do for y,

Isolate the numbers without a variable buy subtravting 4 on each side.

y-4=2x

Now isolate 2 and x by divide 2 on both sides

y/2-2=x

This can be determined by the simple mathematical concepts.  Therefore the value of x is,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]   the subject of he formula y=2x+4.

Given that the subject of the formula y=2x+4.

We have to find x.

According to the question,

To obtained the value of x by the  given formula

i.e.  y = 2x+4                   .....(1)

Now the value of x is from the above equation (1)...

[tex]\bold{x=\dfrac{y-4}{2} }[/tex]

Hence, the value of x ,  [tex]\bold{x=\dfrac{y-4}{2} }[/tex]    makes x the subject of the formula y=2x+4.        

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Answer:

Step-by-step explanation:

Alternate forms:

x^2 + y (y + 4) = 5

x^2 + y^2 + 4 y - 5 = 0

Solutions:

y = -sqrt(9 - x^2) - 2

y = sqrt(9 - x^2) - 2

Integer solutions:

x = ± 3, y = -2

x = 0, y = -5

x = 0, y = 1

Implicit derivatives:

(dx(y))/(dy) = -(2 + y)/x

(dy(x))/(dx) = -x/(2 + y)

Answer:

-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Take sides AD and MP.

6 in. in ADCB is 3/2 * 4 in. in MPON

Answer:

1.25

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Given:

Base of the larger figure = 30 yd

Base of the smaller figure = 12 yd

To find:

a) The ratio of the perimeters of the larger figure to the smaller figure.

b) the ratio of the area of the larger figure to the smaller figure.

Solution:

a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.

The given figures are similar. So, the ratio of the perimeters is:

[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]

b) The ratio of area of similar figures is equal to the ratio of squares of their sides.

[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]

[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]

Therefore, the correct option is A.

Answer:

Steps To Find The Distance Between Two Planes

Write equations in standard format for both planes.

Learn if the two planes are parallel.

Identify the coefficients a, b, c, and d from one plane equation.

Find a point (x1, y1, z1) in the other plane.

Substitute for a, b, c, d, x1, y1 and z1 into the distance formula.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

21/2 = 10.5

10.5 x .5 = 5.25 = 5 1/4

The answer is D.

Answer:33/125

Step-by-step explanation:

First, you subtract 12 from 45, because there were 45 who signed up for swimming and 12 of them also signed up for arts and crafts. So, there are 33 children, out of the 125, who only signed up for swimming. Which means there is a 33/125 chance that a child who only signed up for swimming is randomly selected.

Answer: X=5 so whats 3 + 5? easy, 8. so now you know the bottom is eight and since it's a rectangle the top is also 8. And the left side is 15 so we know the right side is also 15. To find the perimeter you add all the sides of which in this case it would be 8 + 8 + 15 + 15. or (8 times 2) + (15 times 2). = 46 the answer is 46

Step-by-step explanation:

Step-by-step explanation:

x+5Y=13...... 1

4x +7y=0..... 2

from eqn 1

x =13-5y

substitute into eqn 2

[tex]4(13 - 5y) + 7y = 0[/tex]

52-20y +7y=0

52-13y=0

52=13y

y=52÷13

y=4

substitute Y into eqn 2

x +5y=13

x + 5(4)= 13

x+ 20=13

x=13-20

x=-7

Answer:

B Inequality

Step-by-step explanation:

since 12 is greater than 11 they are not equal

> this sign is the greater than sign

Answer: 1,257.14 ft

Step-by-step explanation:

The question is missing the vital detail of the diameter or radius of this circular pond which I found to be 400 feet.

The plants are to be planted around the pond which means that they are to be planted around the circumference of the pond.

The number of feet of flowers to be planted is therefore the circumference.

Circumference = π * diameter

= 22/7 * 400

= 1,257.14 ft

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

I think it is 6 because 10 is half of 20 so 6 is half of 12

Sam should wear green shirt for 6 days in next 12 days.

Fraction is a number that represent part of a whole quantity. It has two parts, numerator and denominator, the number above the horizontal line is numerator, and number under the the line is denominator.

Given,

Sam wore green shirt on 10 of the last 20 days

Fraction of days the wearing green shirt to total days = 10/20 = 1/2

Number of days of wearing green shirt in next 12 days

= 12 × 1/2

= 6 days

Hence, in next 12 days, Sam should wear green shirt for 6 days.

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Answer:

AED is also 74

Step-by-step explanation:

they share the same crossing lines

Answer: 74

Step-by-step explanation:

Answer:

230 ft

Step-by-step explanation:

Answer: B

4c^2 - 16c - 1

Step-by-step explanation:

(3c2 - 8c + 5) + (c2 - 8c - 6).

remove parantheses.

3c2 - 8c + 5 + c2 - 8c - 6

add common factors

answer= 4c^2 - 16c - 1

Answer: i have the same question

Step-by-step explanation:

Answer:

The answer is 5.

Step-by-step explanation:

6 x 4 is 24, and if you divide 120 and 24, you can see you get 5.

Answer:

x=(k√x)/(w^2)(cube√z)

x varies directly with square root of y is:

x = k √y

And inversely with the square of w and cube root of s is:

/(w^2)(cube√z)

Now put those together:

x=(k√x)/(w^2)(cube√z)

The formula is:

x=ky/wz but add the specific info like square, roots, or etc

answer ⬆️

i hope this helps!! :)

Answer:

6 - 3x [tex]\geq[/tex] -24

Step-by-step explanation:

Answer:

(a) ∠KHG = 120°

(b) (i) KG = 15.625 km

(b) (ii) bearing of G from K = 240°

Step-by-step explanation:

(a) 360° - 290° = 70°

∠KHG = 70° + 50° = 120°

(b) (i) ∠KGH = 26°

∠GKH = 34°

KG = 7.875 + 7.75 = 15.625 km

(b)(ii) Bearing from G from K = 110° + 130° = 240°

Answer:

The way you would interpret -58 is that unlike positive numbers such as 50 or 70, -58 is actually behind the number zero. Take it as like an elevator that goes below the surface level, -58 is 58 floors below the surface.

Answer:

take it as an elevator sjsiisisis

Answer:

36 is the final

Step-by-step explanation:

4(5)+8(2)

20+16

36

Answer:

(D) or 703.4^2 is the answer here.

Step-by-step explanation:

Well I would imagine this.

Imagine a cylinder right and its liek a soda can. If you cut the middle straight down (which is the height) and you pull out the whole sheet and flatten it, you get a rectangle. You have the height but no width. The width can be found be finding the Circumfrnce of the circle or the perimeter of the circle on top.

Circumfrence formula is C=dπ or in this case the radius is 7, double the radius which would be 14 and the diameter, multiply that by π, you’d Get 43.98229 smth.

Now you have the surface for that rectangle or the surface recall for the whole cylinder except for the top and bottom, you just gotta find the top and double it!.

The area of a circle is a=πr^2

Raidus in. This case is 7, 7^2=49. 49π double it (top and bottom) is 307 smth Yu add those two up and you’d get 703.4 smth so the answer is (D).

Answer:

x = 8

Step-by-step explanation:

a² + b² = c²

x² + 15² = 17²

x² + 225 = 289

x² = 289 - 225

x² = 64

[tex]\sqrt{x^2} =\sqrt{64}[/tex]

x = 8