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kotegsom [21]
3 years ago
7

one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defin

ed by y=2x^2+2x-4
Mathematics
1 answer:
lesya [120]3 years ago
8 0

Answer:

(- 2, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x- intercepts let y = 0, that is

2x² + 2x - 4 = 0 ( divide through by 2 )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x- intercepts are x = - 2, x = 1, that is

(1, 0 ) and (- 2, 0 )

The other x- intercept is (- 2, 0 )

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A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest
Minchanka [31]

Answer: 70 meters

Step-by-step explanation:

Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.  

Replacing with the values given:  

65^2 = 16^2 + x^2  

4,225 = 256 + x^2

4,225-256 = x^2

3,969=x^2

√3,969 =x

63=x

We have calculated the missing side of the triangle, now we have to add the height of the rectangle:

63 +7 =70 meters

Feel free to ask for more if needed or if you did not understand something.  

4 0
3 years ago
Help me please i need the correct answer
BaLLatris [955]

Answer:

First one is 25/2

Step-by-step explanation:

12×2+1=25/2

9×4+1=36/4

cross multiply and you get

100/

divide both by 2 and you get 50/4 then you divide both by 2 again and you get 25/2 because you can't reduce it anymore

7 0
3 years ago
Which fabric color cost more per yard yellow 12.8 yards $86.40 white 9.5 yards $45.60
DiKsa [7]
86.40/12.8=6.75. 45.60/9.5=4.8 so yellow fabric costs more
3 0
4 years ago
My son is 9 leas than 1/2 my age. if i am 34 how old is my son?​
kirza4 [7]

Answer:

8

Step-by-step explanation:

Your son is half your age minus 9, so half of 34 is 17. 17 - 9 = 8

7 0
3 years ago
Find The equation of the line which passes through the point (14,-14) and is parallel to y= -1/3x+23/6
marishachu [46]

Answer:

y = -⅓x - 9⅓

Step-by-step explanation:

-14 = -⅓[14] + b

-4⅔

-9⅓ = b

y = -⅓x - 9⅓

* Parallel lines have SIMILAR <em>RATE OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so -⅓ remains the way it is.

I am joyous to assist you anytime.

8 0
3 years ago
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