Use the Pythagorean theorem to find y.

Answer:

(12, - 1 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 8 → (1)

2x - 5y = 29 → (2)

Rearrange (1), expressing x in terms of y by subtracting 4y from both sides

x = 8 - 4y → (3)

Substitute x = 8 - 4y into (2)

2(8 - 4y) - 5y = 29 ← distribute and simplify left side

16 - 8y - 5y = 29

16 - 13y = 29 ( subtract 16 from both sides )

- 13y = 13 ( divide both sides by - 13 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 8 - 4(- 1) = 8 + 4 = 12

solution is (12, - 1 )

[tex]x = 8 - 4y \: \: eqn \: 1[/tex]

now in eqn 2

[tex]2(8 - 4y) - 5y = 29[/tex]

[tex]16 - 8y - 5y = 29[/tex]

[tex]16 - 13y = 29[/tex]

[tex]16 - 29 = 13y[/tex]

[tex]13 = 13y[/tex]

[tex] \frac{13}{13} = y[/tex]

[tex]y = 1[/tex]

Now in eqn 1

[tex]x = 8 - 4y[/tex]

[tex]x = 8 - 4 \times 1[/tex]

[tex]x = 8 - 4[/tex]

[tex]x = 4[/tex]

therefore x=4 & y=1 answer

Answer:

x=5

Step-by-step explanation:

Hello There!

The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180

so we can create an equation to solve for x

180=80+20x

step 1 subtract 80 from each side

80 - 80 cancels out

180-80=100

100=20x

step 2 divide each side by 20

100/20=5

20x/20=x

we´re left with x=5

Answer:

The answer is "[tex]1\frac{5}{6}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]BH=\frac{2}{3} \cdot L[/tex]

       [tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]

Answer:

The answer would be 1 5/6 !

Step-by-step explanation:

Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

Answer:

x = ±4.5

Step-by-step explanation:

4x² - 15 = 66

Add 15 to both sides.

4x² = 81

Divide both sides by 4.

x² = 20.25

Take the square root of both sides.

x = ±4.5

Hope this helps!

Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

Answer:

n=7

Step-by-step explanation:

71=10n+1

We move all terms to the left:

71-(10n+1)=0

We get rid of parentheses

-10n-1+71=0

We add all the numbers together, and all the variables

-10n+70=0

We move all terms containing n to the left, all other terms to the right

-10n=-70

n=-70/-10

n=7

Hope it helps

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]

This simplifies to n = 7, which is our final answer.

Answer:

5

Step-by-step explanation:

just did it

Answer: 70

Step-by-step explanation:delta marh told me

Answer:

26 this is because 4x5=20 then add the triangle which is 3x4 ÷ 2 equalling 26

Answer:

Step-by-step explanation:

(5+8)/2 = 13/2 = 6.5

6.5*4 = 26m²

The formula for the area of a trapezoid is the same as a trapezium :

(a+b)/2 *h = Area

Answer: 3.5 miles

Step-by-step explanation:

C=2 √πA = 2 x √π x 1 = 3.5

Answer:

Step-by-step explanation:

1. 3/7

2. 1/5

3. 7 and 21

Answer:

1) 3/4

2) 1/5

3) 7 and 21

4) 9 tokens a day

5) 6 laps a week

Answer: A-5

Step-by-step explanation:

"A" the number and 5 which should be less than the number

You make the equation

A-5

Answer:

Answer is 4 you have to substitute the a and c

Answer:

4

Step-by-step explanation:

If a= -2 and c= 3 then, 2(3) + -2.

6 + -2.

4.

Hope it helps!!!!!!!!! :))

Answer:

( x - 4 )^2 + ( y + 5 )^2 = 9^2

Step-by-step explanation:

equation of a circle: ( x - h )^2 + ( y - k )^2 = r^2

( h, k ) is the center and r is the radius.

Answer:

Step-by-step explanation:

Answer:

what are you asking?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since 7 + 11 is = 18, these cannot be the sides of a triangle

Answer:

48

Step-by-step explanation:

Answer:

Step-by-step explanation:

sureface area of rectanglur object is the sum of the six sides

     Area = Length x Width

   SArea = Top Area + Bottom Area + Front Area + Back Area + Left Side Area

                 + Right Side Area

        since the top and bottom have equal  area  =  long x wide

                  the front and back have equal  area    = long x tall

                  and both sides have equal area  =  wide x tall

              I summed the bottom front and side areas each times 2

   SArea = 2(Bottom Area) + 2(Front Area) + 2(Side Area)

                 factor out the 2 and added the area formulas for the bottom front

                 and side

              = 2 [ (long x wide) + (long x tall) + (wide x tall)]

              = 2 [ (9 x 4) + (9 x 6) + (4 x 6)]

              = 2 [ (9)(4) + (9)(6) + (4)(6)]

              = 2(    36   +   54   + 24 )

              = 2( 114)

              =   ????    What is 2 times 114  ????       You can finish this part.

Answer:

Step-by-step explanation:

Answer:

40,60,80

Step-by-step explanation:

2x+3x×4x=180

9x=180

x=20

2x=40

3x=60

4x=80

Answer:

River C: 2875, River D: 2675

Step-by-step explanation:

Subtract 200 from 5550. Then divide your  difference (5350) by 2 to get 2675. Add 200 to one of your 2675s to get river C's length.

Answer:

71.8

Step-by-step explanation:

74*0.97=71.78

Rounds up to 71.8

Answer:

Step-by-step explanation: