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VladimirAG [237]
3 years ago
10

What is the x-coordinate of the soultion y=x+2 y=-x+6

Mathematics
2 answers:
Kay [80]3 years ago
6 0
<span>x+2 = -x+6
</span>2x+2 = 6
2x = 4
x = 2
Oxana [17]3 years ago
3 0
Both equal y to set equal to each other
x+2=y=-x+6
x+2=-x+6
add x both sides
x+x+2=x-x+6
2x+2=0+6
2x+2=6
minus 2 both sides
2x+2-2=6-2
2x+0=4
2x=4
divide both sides by 2
x=2

the x coordinate is 2
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Twice a certain whole number subtracted from 3 times the square of the number leaves 133. Find the number
user100 [1]

Answer:

7

Step-by-step explanation:

"a certain whole number" is a number that we don't know, so pick a variable, let's use n

"Twice" means two times, so we'll use 2n for this.

"subtracted from" means the 2n will be AFTER the minus sign.

____ - 2n

What goes in front? "3 times the square of the number" 3n^2

Now we have 3n^2 - 2n

Lastly, we see the result is 133. So this gives us:

3n^2 - 2n = 133 To solve, subtract 133 from both sides of the equation.

3n^2 -2n - 133 = 0 Next FACTOR.

(3n + 19)(n - 7) = 0

3n+19=0 and n-7=0

n=-19/3 and n=7

Since we are looking for a whole number choose n=7

6 0
2 years ago
What is a formula for the nth term of the given sequence? 48, 72, 108​
WITCHER [35]

Answer:

a_n=48*1.5^{n-1}

Step-by-step explanation:

<u>Geometric Sequence</u>

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

r=\frac{72}{48}=1.5

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

a_n=a_1*r^{n-1}

Where a1=48 and r=1.5

\boxed{a_n=48*1.5^{n-1}}

For example, to find the 5th term:

a_5=48*1.5^{5-1}=48*1.5^{4}=243

7 0
3 years ago
Find the Surface area AND Volume of the figure. Round to the nearest hundredths.
qwelly [4]

Answer:

SA= 902.88 yd²

V = 1386.24 yd³

Step-by-step explanation:

Surface area

Since the bases are right triangles, you need to find the base of the triangle. Use Pythagorean theorem as you are given the hypotenuse and one leg.

19² = 15.2² + b²

361 = 231.04 + b²

Subtract 231.04 from both sides

b² = 129.96

Root that

b = 11.4

Now that you have the base, find the areas of the triangles and rectangles.

<em>Triangles</em> - (15.2*11.4)1/2 (2)

15.2*11.4 = 173.28

<em>Rectangles </em>- (15.2)(16) = 243.2

(16)(11.4) = 182.4

(16)(19) = 304

Add them all together and the SA equals 902.88 yd²

Volume

V = Bh

V = 1/2(15.2)(11.4)(16)

V = 1/2 (2772.48)

V = 1386.24 yd³

4 0
2 years ago
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