Solve simultaneous equation x-y=4 and x²+y²=10​

Answer:

C. x=-48

Step-by-step explanation:

x/4=-12

multiply both sides by 4

4x/4=4 (-12)

simplify

x=-48

Answer:

13a + 6b

Step-by-step explanation:

Given

(a + 3b) + 3(4a + b) ← distribute parenthesis

= a + 3b + 12a + 3b ← collect like terms

= 13a + 6b

Answer: 13a+3b+18

Step-by-step explanation:

First distribute the 3 to 4a+b

Then you get 12a+18

Add 12a+18 with a+3b

Answer:

a = 8

Step-by-step explanation:

Given F is proportional to a then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 36 when a = 9

36 = 9k ( divide both sides by 9 )

4 = k

F= 4a ← equation of proportion

When F = 32 , then

32 = 4a ( divide both sides by 4 )

8 = a

Answer:

inglese please

Step-by-step explanation:

Answer:

C. 4 is the right answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius=diameter/2

=8/2

=4 m

volume of a cylinder =πr^2h

=3.14*(4)^2*13

=40.82*16

=653.12 m^3

Answer:

39 acute isoceleleellsllelsls

Step-by-step explanation:

The angles of triangle always add to 180 degrees. So that angle on the bottom already takes up 102 so 180-102=78 and there are 2 angles left so both of those are 39 because 78/2=39  and 39 is an acute angle since its less than 90 degrees so ya

The person must make 8 trips for Plan A and B to be equal.

Plan A will cost $144 and then $10 for every parking. Assuming the number of trips is x, the expression would be:

= One time fee + (Fee per parking x number of trips)

= 144 + 10x

Plan B will cost $48 then parking of $22. Expression will be:

= 48 + 22x

To find out the number of trips where the cost will be equal, equate the two:

144 + 10x = 48 + 22x

144 - 48 = 22x - 10x

96 = 12x

x = 96 / 12

x = 8 trips

The person must therefore make 8 trips for Plan A and B to be equal.

Find out more at https://brainly.com/question/2130743.

Answer:

a = k/(4 + 9b)

Step-by-step explanation:

Here, we want to make a the formula subject

We have this as;

k = a(4 + 9b)

a = k/(4 + 9b)

The expression for a fom the give expression is a = k/(4 + 9b)

Given the following equation

K = 4a + 9ab

Factor out the GCF

K = a(4 + 9b)

Divide both sides by 4 + 9b
k/4+9b = a(4 + 9b)/4+9b
k/(4 + 9b) = a

Hence the expression for a fom the give expression is a = k/(4 + 9b)

Learn more on subject of formula here: https://brainly.com/question/657646

#SPJ2

Answer:

Field goals: No. of attempts

36:63

4:7 (simplest form)

Hence, the answer is 4:7.

Answer:

According to intersecting chard theorem:-

[tex]12(x)=8(x+2)[/tex]

[tex]12x=8x+16[/tex]

[tex]12x-8x=16[/tex]

[tex]4x=16[/tex]

[tex]x=16/4[/tex]

[tex]x=4[/tex]

So, your answer is D) 4

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

hope this helps you!!

The required value of the x is 4 for the given circle. Option D is correct.

A figure is shown of a circle with two intersecting cords fractions 12+x and x+2+8. The value of the x is to determine.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.

The chords of the circle is the lines that bisect the circles in two parts, Longest chord of the circle is the Diameter.

Now.

x+2/x=8/12
12x = 8x+16

12x-8x=16
4x = 16
x = 4

Thus the required value of x is 4 for a given circle.

Learn more about circle here:

brainly.com/question/11833983

#SPJ5

Answer:

The probability to get the vowel is 1/4.

Step-by-step explanation:

The number of elements in sample space, n(S) = 20

The number of elements in event, n (E) = 5

The probability to get the vowel is

[tex]P(E) =\frac{n(E)}{n(S)}\\\\P(E)=\frac{5}{20}\\\\P(E) = \frac{1}{4}[/tex]

Answer:

ED = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ED}{BA}[/tex] = [tex]\frac{EF}{BC}[/tex] , substitute values

[tex]\frac{ED}{9}[/tex] = [tex]\frac{12}{18}[/tex] ( cross- multiply )

18 ED = 108 ( divide both sides by 18 )

ED = 6

Answer:

- 8

Step-by-step explanation:

To evaluate f(8) substitute x = 8 into f(x)

f(8) = - 2(8) + 9 = - 16 + 9 = - 7

Similarly for g(- 1)

g(- 1) = (- 1)² - 2 = 1 - 2 = - 1

Then

f(8) + g(- 1) = - 7 + (- 1) = - 7 - 1 = - 8

Answer:

28cm

Step-by-step explanation:

Area of a parallelogram equals the base length, which is y cm, multiplied by the height, which is 18cm.

So

Area= 504cm

y cm (base) x 18 cm (height) = 504cm^2 (area)

y cm = 504cm^2 / 18cm

y cm = 28cm

Answer:

28 cm

Step-by-step explanation:

Just use some good ol' algebra:

18y = 504

y = 28 cm

A parallelogram is basically a wonky rectangle, so it uses the same formula for area.

Answer:

1. 8:15

2. 6

3. 32

4. 12.4

Answer:

So what are you asking me to do

Answer:

A.

Step-by-step explanation:

Answer:

1) c

2) b

3) d

4) b

5) c

6) b

7) b

8) d

9) c

Answer:

third box

first box

second box

Step-by-step explanation:

1/3x + 1/4 -2/3x; combine like terms

-1/3x + 1/4 (third box)

1/3x + 1/4 + 2/3x; combine like terms

(3/3)x +1/4 (first box)

3/3 is 1, so we don't have to write it

2/3 + 3/4x -1/3; combine like terms

1/3 + 3/4x (swap, and is second box)

Answer:

3675

Step-by-step explanation:

3500x.05 (5%)=175 GCT

3500+175=3675.

Answer:

x+3y -10 =0

Step-by-step explanation:

In slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -1/3x +10/3

We want it in the general form  ax+by +c =0  where a,b,c are integers and a>0

Multiply by 3 on each side

3*y = 3(-1/3x +10/3)

3y = -x +10

Add x to each side

x+3y = -x+10 +x

x+3y = 10

Subtract 10 from each side

x+3y -10 = 10-10

x+3y -10 =0

The slope of a line is [tex] - \frac{1}{3} [/tex] and the y-intercept is [tex] \frac{10}{3} [/tex]. What is the equation of the line written in general form?

○ 10x + 3y - 1 = 0

○ x + 3y + 10 = 0

○ x + 3y - 10 = 0

[tex] \quad \quad\quad\quad\boxed{\tt{y = mx + b}}[/tex]

[tex]\quad \quad\quad\quad\boxed{\tt{Slope (m) = \frac{1}{3} }}[/tex]

[tex]\quad \quad\quad\quad\boxed{\tt{y \: intercept(b) = \frac{10}{3} }}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{y = - \frac{ 1}{3}x + \frac{10}{3} }}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{ax + by + c = 0}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{ (3)y = 3(- \frac{ 1}{3}x + \frac{10}{3} )}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{ 3y = \cancel{ \color{red}3}(- \frac{ 1}{ \cancel{ \color{red}3}}x + \frac{10}{ \cancel{ \color{red}3}} )}}[/tex]

[tex] \quad \quad\quad\quad\boxed{\tt{3y = - x + 10}}[/tex]

[tex] \quad\quad\quad\boxed{\tt{3y = - x + 10}} \: ➡ \: \boxed{\tt{x + 3y = 10}}[/tex]

[tex] \quad\quad\quad \boxed{\tt{x + 3y = 10}} \: ➡ \: \boxed{ \tt{x + 3y - 10 = 0}}[/tex]

[tex]\quad \quad\quad\quad \boxed{ \color{green}{ \tt{x + 3y - 10 = 0}}}[/tex]

_________

#LetsStudy

Replace c with 3:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

The answer is 243

Answer:

15

Step-by-step explanation:

c5

3(5)

3 x 5

15

Answer:

10 pounds

Step-by-step explanation:

Let x represent the amount of raisins Meg have in her supply. She uses 1/2 of her supply of raisins  to make trail  mix and 3/10 of her supply of raisins to make  cookies which gives a total of 8 pounds of raisins being used. To find the amount of raisins she has in her supply, we use the equation:

(1/2)x + (3/10)x = 8

multiply through by 20:

(1/2)x * 20 + (3/10)x * 20 = 8 * 20

10x + 6x = 160

16x = 160

Divide both sides of the equation by 16:

16x/16 = 160/16

x = 10 pounds

Therefore she have 10 pounds of raisins in her supply

Answer:

m = -5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

y = -1/2 - 5x

Compare:

y-intercept b = -1/2

slope m = -5

Answer:

The slope is -5 and the y intercept is -1/2

Step-by-step explanation:

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -5x-1/2

The slope is -5 and the y intercept is -1/2

Answer:

8x2- 10x- 3 = 46

Step-by-step explanation: