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Nataly [62]
3 years ago
14

Use substitution to solve the system of equations algebraically.

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Answer:

The other solution to the system of equations is : (4,4)

Step-by-step explanation:

x^{2}}+y^{2} =32 \\y=x\\\\x^{2} +x^{2} =32\\2x^{2} =32\\x^{2} =16\\\\x=4         Or  x=-4\\y=4 Or y=-4

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How many different five digit members can be formed from the digits 5, 6, 7, 8 and 9 if digits can be repeated? If digits cannot
Dafna11 [192]

Answer:

Solution given:

5,6,7,8,9,

When repeated:

it has

5 ways for each

different five digit members can be formed from the digits:5*5*5*5*5=<u>3125</u>

When not repeated:

it has

5 ways for 1st

4 ways for 2nd

3 ways for 3rd

2 ways for 4th

1 ways for 5th

different five digit members can be formed from the digits:5*4*3*2*1=<u>120</u>

6 0
3 years ago
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the
kvasek [131]

Answer:

Point-Slope form:  y+1=-\frac{6}{15}(x+5)\\

standard form:  2x+5y=-15


Step-by-step explanation:

The standard form is given by: Ax+By=C

The point-slope form is given by: y-y_1=m(x-x_1)


  • <em>Let's call (-5,-1) as point (x_1,y_1), and</em>

<em>point (10,-7) as point (x_2,y_2)</em>

  • <em>We also know that the slope m is given by m=\frac{y_2-y_1}{x_2-x_1}</em>

Let's find the slope:

m=\frac{-7-(-1)}{10-(-5)}=-\frac{6}{15}


1. So, point slope form can be written as:

y-(-1)=-\frac{6}{15}(x-(-5))\\y+1=-\frac{6}{15}(x+5)\\


2. Rearranging this equation and bringing all x's and y's to one side and the number to another side will give us the standard form. So:

y+1=-\frac{6}{15}x-2\\y+\frac{6}{15}x=-2-1\\y+\frac{6}{15}x=-3

<em>But A, B, and C (standard form) needs to be integers, so to get rid of the denominator , we multiply the whole equation by 15. So we have:</em>

y+\frac{6}{15}x=-3\\15y+6x=-45

<em>We can factor out a 3, so it becomes:</em>

15y+6x=-45\\5y+2x=-15

So standard form is 2x+5y=-15

8 0
4 years ago
Sam bought 10 apples for<br> $4.50. How much does one apple<br> cost?
erastovalidia [21]

Answer: 1 apple is $0.65

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Someone, please help i don't understand this
miv72 [106K]

Answer

62

5.3

65

5.8

2.5

Step-by-step explanation:

FOr the first one we have the opposite and adjacent side, so we'll use TOA

let x= angle

tan(x)=4.7/2.5

x=61.99 or 62

2.) for this one we can just use pathagoryeous thereom

2.5²+4.7²=c²

28.34=c²

c=5.323

3.) For this one we know that the angles in a traingle must add to 180

let x= missing angle

25+90+x=180

x=65

4.) For this one we have the adjacent side but need the hypotonouse

we will therefore use CAH

cos(25)=5.3/x

5.3/(cos(25))=x

x=5.8

5.) For this one we will just use the pathagoryeous to solve for the missing side

a²+5.3²=5.8²

a²=6.107

a=2.5

8 0
3 years ago
To turn 2⁄5 into a decimal, what operation must you perform?
natali 33 [55]
D. 2 ÷ 5.......................
4 0
3 years ago
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