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3 years ago

Congruent triangles are always similar

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

8 0

Exactly the same three sides and

exactly the same three angles

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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

2 years ago

What is 7(f+3)+9=5(f-2)-3f

muminat

Answer:

f = -8

Step-by-step explanation:

7(f+3)+9=5(f-2)-3f

7f + 21 + 9 = 5f - 10 - 3f

7f + 30 = 2f - 10

5f = -40

f = -8

8 0

4 years ago

How to solve g(n)=4n-5;Find g(6)

sergey [27]

19 i think though im pretty sure it is

5 0

4 years ago

Aldos coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $5.80 per pound, and type of

LuckyWell [14K]

Let A represent amount of Type A coffee pounds used.
Let B represent amount of Type B coffee pounds used

A + B = 156
B = 156 - A
A = 156 - B

5.80A + 4.65B = 826.60
580 (156 - B) + 4.65B - 826.60 = 0
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0
78.2 - 1.15B = 0
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.

5 0

3 years ago

Please help and thank you

german

Answer: the answer is c

Step-by-step explanation: the first line is the min and the next is q1 and then the medium and q3 max

8 0

3 years ago