What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1

Answer:

Step-by-step explanation: big aye

Answer:

C. 4√3 units

Step-by-step explanation:

Edge 2021

The value of x is 4.

Option B is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From ΔRMN,

NM² = RN² + RM²

8² = y² + x²

64 = y² + x² ______(1)

And,

From ΔRNS,

RN² = RS² + SN²

y² = z² + 6²

y² = z² + 36 ______(2)

And,

From ΔRMS,

x² = z² + 2²

x² = z² + 4 _______(3)

From (1), (2), and (3).

x² = y² - 36 + 4

x² = 64 - x² - 36 + 4

2x² = 64 - 36 + 4

2x² = 68 - 36

2x² = 32

x² = 16

x = 4

Thus,

The value of x is 4.

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The coordinates of X¹ will be (6,-2), if the rectangle was rotated 90° clockwise about the origin.

Given that, rectangle WXYZ has coordinates at W(2, 2), X(2, 6), Y(4, 6), and Z(4, 2) respectively. We have to calculate the coordinates of X¹ when the rectangle was rotated 90° clockwise about the origin.

Rotation generally helps us to align the figures in the direction along with a fixed point. To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). So, (y,-x) will be the rotation of the coordinates about 90° clockwise about the point.

So, we have to calculate the coordinate after rotation of X(2, 6). Let's suppose after rotation X changes to X¹ then, we have

X(2, 6)→X¹(6,-2) when the rectangle was rotated 90° clockwise about the origin.

Therefore, (6,-2) is the required answer.

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Answer:

x=35 hope it helps see ☜☆☞

Answer:

h=416$

Step-by-step explanation:

36.50h+27.50h= 64

64x6 1/2=

416 $

Answer:

416

Step-by-step explanation:

36.50+27.50=64

64*6=384

and then add 32 for the half an hour

384+32=416

Answer:

40%

Step-by-step explanation:

A percent is;

[tex]\frac{part}{whole} = \frac{x}{100}[/tex]

It is given that Jolie the 75 dodgeballs in total, hence the whole is 75. It is also given that 30 of the dodgeballs hit the target, so the part is 30. Now all one has to do is solve for "x".

[tex]\frac{30}{75} = \frac{x}{100}[/tex]

Simplify [tex]\frac{30}{75}[/tex] by dividing the numerator and denominator by 15.

[tex]\frac{2}{5}[/tex]

Now the equation is;

[tex]\frac{2}{5}=\frac{x}{100}[/tex]

Typically, one would solve a proportion by doing cross products, but in this case, it is easier to think about it intuitively. Since 5 is a factor of 100 (5 * 20 = 100), then all one has to do is multiply [tex]\frac{2}{5}[/tex] by 20 to get the answer (on the numerator).

x = 40

Answer:

40%

Step-by-step explanation:

30/75 = 0.40

0.40*100 = 40

75 * 40% = 30

Answer:

16

Step-by-step explanation:

n=4

subset=2^n

=2^4

=16

Answer:

no picture?

Step-by-step explanation:

Answer:

the answer is A substitution

Answer:

<4 = 81

Step-by-step explanation:

we know that all the interior angles of a triangle will equal 180

so <1 + <2 + <3 = 180

we know that <4 is the exterior angle to <3

the exterior angle is equal to the angles opposite to its interior

<3 is the interior angle to <4

<1 and <2 are the angles opposite to <3

so <4 = <1 + <2

<4 = 42 + 39

<4 = 81

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

Answer: =0

Step-by-step explanation:

(10 - 3*3) - 1

(10 - 9) - 1

1-1

=0

AnswerArea: 27 square feet Length: 9 Feet

Step-by-step explanation:

So, first we need to find the length.

If the length is 3 times the width, we need to multiply the width times 3 to get the lenght. So, 3*#=9/ So the lenght is 9

Now, we need to find the area.>

We need to multiply length times width, so-

9*3=27

Answer:

The answer is 56 square feet. Don't forget the square or else the answer is invalid :). good luck

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The distance between 6 and -2 is 8

(draw a number line and from 6 to -2 is 8 steps)

1.

[tex] \frac{10}{2 {ab}^{2} } \times \frac{ {a}^{2} {b}^{2}}{5}[/tex]

[tex] = \frac{5}{2a {b}^{2} } \times {a}^{2} {b}^{2} [/tex]

[tex] = \frac{5}{2a} \times {a}^{2} [/tex]

[tex] = \frac{5 {a}^{2} }{2a} [/tex]

Answer:

Step-by-step explanation:

If you have a calculator just put 6 / 12, and you will get your answer

If you don't have a calculator, do long division or you can simplify the fraction. Ex: 6/12 = 3/6 = 1/2; 1/2 = 0.5

Answer:

0.5

Step-by-step explanation:

You can reduce it to 1/2 which is equivalent to 50% or 0.5

Answer/Step-by-step explanation:

✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1 [/tex]

Slope (m) = -0.1

✔️Initial Value = y-intercept = b

To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.

(Note: y is P(t) and x is t).

Thus:

4.58 = (-0.1)(2) + b

4.58 = -0.2 + b

Add 0.2 to both sides

4.58 + 0.2 = b

4.78 = b

b = 4.78

Initial value = 4.78

✔️Equation for the linear function:

Substitute b = 4.78, and m = -0.1 into P(t) = mt + b

Thus the equation would be:

P(t) = -0.1t + 4.78

✔️The y-intercept = initial value = 4.78

✔️The x-intercept = the value of t when P(t) = 0.

To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.

Thus:

0 = -0.1t + 4.78

Add 0.1t to each side

0.1t = 4.78

Divide both sides by 0.1

t = 47.8

x-intercept = 47.8

Answer:

791

Step-by-step explanation:

Prime number is a number that is divisible only by itself and 1 .

prime numbers less than 80

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

therefore,

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

=791

Answer:

791.

prime numbers less than 80 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

sum of these numbers are

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

= 791

Answer:

g(x) = -3x

Step-by-step explanation:

g(x)=3x reflected about x - axis is g(x) = -3x. It's kind of hard to explain but that's the right answer i'm pretty sure

Answer:

$78.01

Step-by-step explanation:

solve the equation 56(1+.037÷4)^4×9

ends up being 56(1.00925)^36

56(1.3930133899)

=78.0087

The total value of the annuity in 9 years is: $78.00

We have the following information available from the question is:

He buys an annuity with a quarterly payment of $56 that pays 3.7 interest, compounded quarterly.

Payments will be made at the end of each quarter.

We have to find the total value of the annuity in 9 years.

Now, According to the question:

The total value of the annuity in 9 years :

The equation will be :

[tex]= > 56(1+ \frac{3.7}{4} )^4^(^9^)[/tex]

=>56(1.3930)

=$78.00

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Given that,

A group of workers can plant 2/5 acres in 7/8 days.

To find,

The unit rate in acres/day.

Solution,

To find unit rate, divide acres and days as follows:

[tex]R=\dfrac{\dfrac{2}{5}}{\dfrac{7}{8}}\ \text{acres/days}\\\\=\dfrac{2}{5}\times \dfrac{8}{7}\\\\=0.45\ \text{acres/days}[/tex]

So, the unit rate is 0.45 acres/days.

Answer:

4i + 9 < simplified version

Step-by-step explanation:

3 + 5i + 6 - i =

4i + 9

Answer:

C D E or 345

Step-by-step explanation:

Answer:

CDE

Step-by-step explanation:

Answer: 1/3

5/7 x X=1/7 35x= 7

X=7/35 simplified version 1/3

Answer:

60%

Step-by-step explanation:

let ,x% is birds of prey

total animals=110

birds of prey=66

then,

x%of 110=66

x/100×110=66

110x/100=66

1.1x=66

x=66/1.1

x=60%

I'm not sure if this is correct.

Answer:

well you need to rise/run. so rise 5 and over 1 to find your answer. repeat the process if needed

Step-by-step explanation: