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Vitek1552 [10]
3 years ago
9

Solve a quadratic equation using the zero product property

Mathematics
1 answer:
aksik [14]3 years ago
6 0

Answer:idk

Step-by-step explanation: snnd

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The isosceles triangles below are similar.
ohaa [14]

Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1

Step-by-step explanation:

a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.

b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.

c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.

EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.

Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.

HJ and HI both measure 5 since they are congruent. 5+5+8=18.

d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.

4 0
3 years ago
What would be the most logical first step for solving this quadratic equation?
Sav [38]

Answer:

D. Subtract 4 from both sides

Explanation:

I just learned about quadratic equations in school. The first step of solving quadratic equations is to make sure it is in standard form and equal to 0.

Standard form:

ax^2 + bx + c = 0

4 0
2 years ago
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Solnce55 [7]

Answer:

y = 3x + 2

y = 6x – 3

y = 2/3x + 6

y = –1/3x – 4

y = 2x + 1

Correct answer:

y = 3x + 2

Explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

7 0
3 years ago
You can buy an 8-pack of paper towels for $8.40 or a 12-pack for $12.36. Which is the better buy?
mixas84 [53]

Answer: 12 pack

Step-by-step explanation:

4 0
3 years ago
Find the quotient of 191 divided by 5
ANEK [815]
38.2 is the quotient!!!!
Hope this helps
8 0
3 years ago
Read 2 more answers
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