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jarptica [38.1K]
3 years ago
6

Rhombus WXYZ with vertices W(1,5), X(6, 3), Y(1, 1), and Z(-4, 3) in the x-axis.

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0

9514 1404 393

Answer:

  W'(1,-5), X'(6,-3), Y'(1,-1), Z'(-4,-3)

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate. The x-coordinate remains unchanged.

The reflected points are ...

  W'(1,-5), X'(6,-3), Y'(1,-1), Z'(-4,-3)

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Question 8: Find the equation of the straight line that:
Scorpion4ik [409]

Answer:

y=4x+6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

y=mx+b

We're given that the gradient of the line is 4. Plug this into y=mx+b as m:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (1,10) as (x,y) and solve for b

10=4(1)+b\\10=4+b

Subtract 4 from both sides to isolate b

10-4=4+b-4\\6=b

Therefore, the y-intercept of the line is 6. Plug this back into y=4x+b as b:

y=4x+6

I hope this helps!

8 0
2 years ago
Read 2 more answers
Factor: x2 - 14x = -48
Arturiano [62]

Answer:

x = 12 and 2

Step-by-step explanation:

x^2 - 14x + 48 = 0

(x - 12)(x - 2) = 0

x = 12   x = 2

3 0
3 years ago
Jill uses some of her honey to make lotion if each bottle of lotion requires 1/4 gallon and she uses a total of 3 gallons how ma
AURORKA [14]
So, we need to count up 1/4 each time till we get to 3.

1/4, 2/4, 3/4, 1, 1 1/4, 1 2/4, 1 3/4, 2, 2 1/4, 2 2/4, 2 3/4, 3.

Now, let's count how many times we counted to get to 3.

12.

So, Jill used 12 bottles of lotion.

Glad I could help, and good luck!

AnonymousGiantsFan


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5 0
3 years ago
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There is a .02 probability that a customer's Visa charge will be rejected at a certain Target store because the transaction exce
lara31 [8.8K]

Answer:

c. 3324

Step-by-step explanation:

We need to use the formula of Geometric CDF with π =0.02

P(x≤20) = 1 - (1-0.02)^20

P(x≤20) = 1 - (0.98)^20

P(x≤20) = 1 - (0.98)^20

P(x≤20) = 1 - 0.6676

P(x≤20) = 0.3324

Therefore the probability that the first such ejection occurs within the first 20 Visa transactions is 0.3324

8 0
3 years ago
b+4=2b-5, could someone help me with this question please, step by step because I have a quiz in math on friday, thank you!
svet-max [94.6K]
<span>"Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 4 + b + -2b = -5 + 2b + -2b Combine like terms: b + -2b = -1b 4 + -1b = -5 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + -1b = -5 + 0 4 + -1b = -5 Add '-4' to each side of the equation. 4 + -4 + -1b = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = -5 + -4 -1b = -5 + -4 Combine like terms: -5 + -4 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9"- geteasysolution.com</span>
8 0
3 years ago
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