Answer:
5
Step-by-step explanation:
d= √(5-1)^2+(1-4)^2
d= √4^2+(-3)^2
d= √16+9
d=√25
d=5
Step-by-step explanation:
Let x = number of games that Alex played
The total money that he spent C is given by
If he spent $45, then we can write
Solving for x, we get
This means that Alex played 15 games.
Answer:
30 forks
Step-by-step explanation:
Let's start by simplifying the given ratio. Since both 15 and 25 are multiples of 5, we can divide the whole ratio by 5.
Forks: spoons
= 15: 25
= 3: 5
This means that forks take up 3 units of the total number of utensils, while the number of spoons is 5 units of the total number of utensils.
Number of forks= 3u
Number of spoons= 5u
Units shall be represented by the letter u from this point forth.
Now, we can form an equation using the total number of utensils in the cafeteria.
Assuming that the utensils in the cafeteria are only forks and spoons,
number of fork and spoons= 80
3u +5u= 80
8u= 80
Let's solve for u.
Divide by 8 on both sides:
1u= 80 ÷8
1u= 10
This means that 1 unit represents 10 utensils.
Substitute the value of u into the expression of the number of forks:
Number of forks
= 3u
= 3(10)
= 30
Thus, there are <u>30 forks</u> in the cafeteria.
Answer:Let's solve your equation step-by-step.
1
4
(2x+8)=−16
Step 1: Simplify both sides of the equation.
1
4
(2x+8)=−16
(
1
4
)(2x)+(
1
4
)(8)=−16(Distribute)
1
2
x+2=−16
Step 2: Subtract 2 from both sides.
1
2
x+2−2=−16−2
1
2
x=−18
Step 3: Multiply both sides by 2.
2*(
1
2
x)=(2)*(−18)
x=−36
To determine x intercept, put y=0
<span>x^4 - 10x^2 + 9
= 0
</span>
<span>x^4 - 9x^2 - x^2 + 9
= 0
x^2(x^2 - 9) - 1(</span><span>x^2 - 9) = 0
(</span><span>x^2 - 9)(x^2-1) =0
x^2 - 9 = 0
⇒ x^2 = 9
⇒x = +3, -3
x^2 - 1 = 0
x^2 = 1
x = +1, -1
X intercepts are -3, -1, 1, 3
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