Solve the equation using the quadratic formula : x^2-10x+25=18

Answers

Answer 1

Answer: $x^2-10x+25=18 \n \nx^2-10x+25-18 = 0\n \n x^2-10x+ 7 =0 \n \na=1 , b = -10 , c= 7 \n \n \Delta = b^(2)-4ac = (-10)^(2)-4*1*7=100-28 = 72 \n \n√(\Delta )=√(72)= √(2*36) =√(36)*√(2) =6√(2)$

$x_(1)=(-b-√(\Delta ))/(2a) =(10- 6√(2))/(2)=(2(5-3√(2)))/(2)= 5-3√(2)\n \nx_(2)=(-b+√(\Delta ))/(2a) =(10+ 6√(2))/(2)=(2(5+3√(2)))/(2)= 5+3√(2)$

$Answer : \ x= 5-3√(2) \ \ or \ \ x = 5+3√(2)$

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Find a pair of square numbers witch give a total of 125

Answers

10^2 = 100 and 5^2 = 25

100 and 25 gives you 125. Because, 100 +25 = 125.

Which equation represents the line that passes through the point (3,4) and is parallel to the x-axis?x = 4
x = 3
y = 4
y = 3

Answers

paralell to x axis means x=something

it is first 2 choices

(x,y)
(3,4)
has to pass through x=3

answer is x=3 (2nd option)

20 points!!! please help

Answers

Answer:

1/8

Step-by-step explanation:

1 of the 8 branches of the tree is TTH in that order. If all branches are equally likely, the probability is 1/8, or 0.125, or 12.5%.

Which strategies can be used to solve this problem? Rosa organized a game day at her house. She plans to have 2 groups of 5 people play charades, and 3 groups of 4 people play board games. What is the greatest number of people who could be at Rosa's game day?

Choose all answers that are correct.

A.
Draw a diagram.
Draw 2 squares and 5 circles. Then draw 3 squares and 4 circles. Add the total number of squares and circles.

B.
Use logical reasoning.
Think that finding 2 groups of 5 is the same as 2 × 5 = 10 and that 3 groups of 4 is the same as 3 × 4 = 12. Then add 10 + 12.

C.
Model the problem.
Show 2 groups of 5 chips and 3 groups of 4 chips. Then count all the chips.

D.
Translate into an equation.
2 × 3 × 4 × 5 = n

Answers

B and C are both correct.

Solve the following three variable system. 2x + 3y + 4z = 9
-x + 2y - z = 0
-2x + 4y + z = 3

Answers

$1)\ \ \ 2x + 3y + 4z = 9\n2)\ \ \ -x + 2y - z = 0\n3)\ \ \ -2x + 4y + z = 3\n===================================\n3)\ \ \ -2x + 4y + z = 3\ \ \ \Rightarrow\ \ \ z=2x-4y+3\n\n1)\ \ \ 2x + 3y + 4z = 9\ \ \ \Rightarrow\ \ \ 2x + 3y + 4(2x-4y+3) = 9\n2x+3y+8x-16y+12=9\n10x-13y=-3\n\n2)\ \ \ -x + 2y - z = 0\ \ \ \Rightarrow\ \ \ -x+2y-(2x-4y+3)=0\n-x+2y-2x+4y-3=0\n-3x+6y=3\ /:(-3)\nx-2y=-1\ \ \ \Rightarrow\ \ \ x=2y-1\n\n$

$1)\ \ \ 10x-13y=-3 \ \ \ \Rightarrow\ \ \ 10(2y-1)-13y=-3\n20y-10-13y=-3\n7y=7\ /:7\ \ \ \Rightarrow\ \ \ y=1\n\n2)\ \ \ x=2y-1\ \ \ \Rightarrow\ \ \ x=2\cdot2-1=1\n\n3)\ \ \ z=2x-4y+3\ \ \ \Rightarrow\ \ \ z=2\cdot1-4\cdot1+3=2-4+3=1\n\nAns.\ x=y=z=1$

how do you work out the value of "d" in the equation: 7d=4d+21?

Answers

Subtract 4d from each side. / / / 3d = 21. / / / Divide each side by 3. / / / d = 7 .

I'm not completely positive but I believe this is how you do it.

7d=4d+21

7d - 4d = 21

3d = 21

3d / 3 = 21 / 3

d = 7

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