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Liula [17]
3 years ago
7

Solve the system below using an appropriate method.

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
Using substitution:
4x+2y=12
y=8x+1

4x+2(8x+1)=12

distribute
4x+16x+2=12

combine like terms
18x+2=12

subtract 2 from both sides
20x=10

divide each side by 20
x=10/20

reduce
x=1/2

plug in x for the y= equation
y=8(1/2)+1

multiply
y=4+1

add
y=5

answer:
(1/2,5)
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Tommy waves 45 kg Jamil Woods 53 kg what is the combined weight of the two boys in grams?
Nikolay [14]

Answer:

109,000

Step-by-step explanation:

1kg = 1000g

45 + 63 = 109

109 x 1000 = 109000

5 0
3 years ago
Given ∆QRS≅∆TUV, QS=5v+3, and TV=6v−9, find the length of QS and TV.?
aliya0001 [1]
If <span>∆QRS≅∆TUV, Their corresponding sides would be equal so, 
QS = TV
5v + 3 = 6v - 9
6v - 5v = 3 + 9
v = 12

Now, QS = TV = 5(12) + 3 = 60 + 3 = 63

In short, Your Answer would be Option B

Hope this helps!</span>
6 0
3 years ago
Read 2 more answers
What is the sum of 12 – 5i and –3 + 4i?
8090 [49]
12 - 3 =9 and -5i+4i=1i or i so it is      {9-i}
6 0
3 years ago
Read 2 more answers
The figure below is a net for a triangular prism. Side a = 45 inches, side b = 14 inches, side c = 30 inches, and altitude d = 2
katrin [286]

Answer:

the answer is A.  2370 sq. in

Step-by-step explanation:

area of the triangles first

A = 1/2 ad

a = (45 in) (20 in)

a = 1/2 (900 sq in)

a = 450 sq in

***remember to multiply 450 * 2 because you have 2 triangles***

Total area of both triangles is 900 sq. in.

Find the area of the 3 rectangles A = LW

1st rectangle and 2nd rectangle

a = cb

a = (30 in) (14 in)

a = 420 sq in. (make sure you add this again in the Total Surface area)

3rd rectangle

a = ab

a = (45 in) (14 in)

a = 630 sq. in

Total Surface area = 2 (1/2 ad) + 2(cb) + (ab)

= 2 (450 sq. in) + 2 (420 sq. in) + 630 sq. in

= 900 sq. in + 840 sq. in + 630 sq. in

= 2370 sq. in

4 0
3 years ago
Find the average rate of change<br> f(x)=x^2−6x+8 when x2=1 and x1=3
sergeinik [125]

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3

The formula for finding the rate of change is:

Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}

Putting the values, we get

=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2

Hence,

Average rate of change for given function is: -2

3 0
3 years ago
Read 2 more answers
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