Solve algebraically the simultaneous equations

x^2+y^2=25
y-3x=13

[tex]x = - 3[/tex]

[tex]x + 3 = - x - 3[/tex]

[tex]x + 3 + x = - x - 3 + x[/tex]

[tex]2x + 3 = - 3[/tex]

[tex]2x = - 3 - 3[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Answer:

90

Step-by-step explanation:

Answer:

c the answer is c bc i got a 5/5 on the test

Step-by-step explanation:

Answer:

I got it right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Slope is equal to the change in  y  over the change in  x , or rise over run.

m = change in y /change in x

The change in  x  is equal to the difference in x-coordinates (also called run), and the change in  y  is equal to the difference in y-coordinates (also called rise).

m = y 2 − y 1/ x 2 − x 1

Substitute in the values of  x  and  y  into the equation to find the slope.

m = 8 − ( 0 ) /3 − ( 1 )

Simplify.

Simplify the numerator.

m = 8 /3 − ( 1 )

Simplify the denominator.

Multiply  − 1  by  1

m = 8 /3 − 1

Subtract  1  from  3

m = 8/2

= 4

Answer:

c

Step-by-step explanation:

Answer:

D. 60

Step-by-step explanation:

To find an equal number of numbers the sum has to be equal to 6*x.

Answer:

If he gave it all to his friends then its D. If it is counting him too then C.

Step-by-step explanation:

Answer:

y = 24.95x + 20

Answer:

y = 4x + 13

Step-by-step explanation:

m = 4 at point (-3,1)

y = 4x + b

1 = 4(-3) + b

1 = - 12 + b

b= 13

y = 4x + 13

Answer:

C. and D.

Step-by-step explanation:

We can cross of A. because if A. were to be correct, nothing else would be correct.

Now we know it has to be B. or C. and D.

D. has to be one of them since you can't have B. and C.

To find out if it is either B. or C. we need to think into it more. So if we had the mean of 80%, that means we need to have some scores over 75%. That would be C. since it says 75% or greater.

The probability of selecting a consonant is 0.619

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

The phrase is = "Terrace Park Wolves rule"

The number of letters in the phrase = 21 letters

The number of consonants in the phrase = 13 letters

Now ,

The probability of choosing a consonant from the given set of letters =
number of letters in the phrase / number of consonants in the phrase

Probability of choosing a consonant from the given set of letters = 13 / 21

Probability of choosing a consonant from the given set of letters = 0.619

Hence , The probability of selecting a consonant is 0.619

To learn more about probability click :

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Answer:

x > 5.4

One-half less-than x

x > 0

Step-by-step explanation:

use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to"

Answer:

if they have < or > then the inequality has and open circle

if they have [tex]\leq or \geq[/tex] then the inequality has a closed circle

Step-by-step explanation:

Answer:

Hindi Film: 6,000 people

English: 4,000 people

Classical: 3,000 people

Other: 7,000 people

Answer:

Jack can paint a certain room in 3 hours, lisa is 4 hours, and sue in 2 hours. ... Jack's rate is one-third of a job per hour, Lisa's is one-fourth of a job per hour and Sue's is one-half of a job per hour. If they all work together for t hours, one whole job is completed. t/3 + t/4 + t/2 = 1 .

Step-by-step explanation:

Answer:

ok so hwo u do it it is 1/3 because ur finding rate thsi will help u get ur answer which is 0.333333 ex btu simplfed 0.33

Step-by-step explanation:

Answer:

$2.5

Step-by-step explanation:

4 people went to the movies and spent $ 38 ( 9.50* 4= 38) since  48-38 = 10

they totally have 10 dollars left. 10/4 = 2.5  They each $2.5 left

Answer:

a:5√3+3√5

b:4(√2+√7)

Step-by-step explanation:

Used photomath witch is an app that takes pictures of equations and solves them. 100% recommend  

Answer:

a)5squareroot of 3 +3squareroot of 5

b)4squareroot of 2 and 4squareroot of 7

Step-by-step explanation:

Answer:

Fixed income

Step-by-step explanation:

The $10 an hour won't change. If it did it would be a variable expense or income.

Hope this helped

❤️

Answer:

Fixed income

pls mark brainliest

Answer:

x    10    4    6     1

y     5    2     3    0.5

Step-by-step explanation:

You have to start with a guess and see if it works. If it works, you're done. If it doesn't work, you need to make a difference guess.

I'll start by guessing that above the 0.5 is a 1.

If that is correct, then every x value is double the y value below it.

5 goes below the 10. 3 goes below the 6. Then you have 4 and 2 left.

That is every whole number from 1 to 5. It works.

x    10    4    6     1

y     5    2     3    0.5

Answer:

0.96

Step-by-step explanation:

I know that 24 x 4 = 96, then you just put a zero in front, making 0.96

Hope this helped

Answer:

0.96

Step-by-step explanation:

Answer:

Follows are the solution to the given points:

Step-by-step explanation:[tex]a) \ \ (-5)^4 = -5 \times -5 \times -5 \times -5 =-625 \\\\ b) \ \ (+2)^6= 2 \times2 \times2 \times2 \times2 \times2 =64 \\\\ c)\ \ (+12)^2 = 12 \times 12 = 144 \\\\ d)\ \ (+15)^1= 15 \\\\ e)\ \ (-1)^{20} = -1 \times -1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1 \times-1\times-1= 1[/tex]

[tex]\\\\ f) \ \ (-4)^5 =-4 \times -4 \times-4 \times-4 \times-4 =-1024\\\\ g)\ \ (-15)^0= 1 \\\\ h) \ \ (-2)^7= -2 \times-2 \times-2 \times-2 \times-2 \times-2 \times-2 =-128 \\\\ i) \ \ (+15)^{0}=1 \\\\ j)\ \ (+15)^1 =15\\\\ k)\ \ (+15)^2 = 15 \times 15=225\\\\ l)\ \ (-15)^2= -15 \times -15=225[/tex]

Answer: (B) SinA = 4/5

Step-by-step explanation: Sine= O/H or opposite of hypotenuse so in regards to the triangle opposite is 28 and hypotenuse 35 or 28/35 which also equals 4/5

Answer:

Decimal 0.333 to a fraction in simplest form is:   [tex]\frac{333}{1000}[/tex]

Step-by-step explanation:

Given the decimal

[tex]0.333[/tex]

Multiply and divide by 10 for every number after the decimal point.

There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

[tex]0.333=\frac{0.333\cdot \:\:1000}{1000}[/tex]

         [tex]=\frac{333}{1000}[/tex]         ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction [tex]\frac{333}{1000}[/tex]

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

Greatest Common Divisor (GCD) :

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

Prime Factorization of 1000:      2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

Therefore, decimal 0.333 to a fraction in simplest form is:   [tex]\frac{333}{1000}[/tex]

Answer:

2(n-2)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3m + 5 > 2(m - 7)

3m + 5 > 2m - 14

3m - 2m > -14 - 5

m > -19

Answer:

Cost of 1 sweet potato is $6.28 divided by 4 which will give $1.75

Answer:

$1.57

Step-by-step explanation:

What we know:

- There are 4 pounds of sweet potatoes

- 4 pounds of sweet potatoes cost $6.28

To find the cost per pound of sweet potatoes, divide $6.28 by 4.

6.28 ÷ 4

= $1.57

Therefore, the cost per pound of sweet potatoes is $1.57.

Answer: b= 4a

( This is the correct answer, which is supposed to be option b, but a negative sign was put instead of an equal sign, so you can change appropriately)  

Step-by-step explanation:

Given that a and b vary directly, can be expressed as

a ∝ b

Introducing the constant of proportionality, k, we have that

a = kb

so when a= 2, b= 8 and the constant becomes

2 = k8

k = 2/8=1/ 4

a= 1/4b

Such that

b=4a

Answer:

its altitude is 8 cm

Step-by-step explanation:

1/2× base ×altitude =48

1/2×12× al =48

6×al =48

al = 8