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mojhsa [17]
2 years ago
14

Triangle abc has vertices located at a( 0, 2), b (2,5), and c (-1,7). find the length of each side of the triangle

Mathematics
1 answer:
lapo4ka [179]2 years ago
5 0

ab=\sqrt{(0-2)^{2}+(2-5)^{2}}=\boxed{\sqrt{13}}\\\\bc=\sqrt{(2-(-1))^{2}+(5-7)^{2}}=\boxed{\sqrt{13}}\\\\ac=\sqrt{(0-(-1))^{2}+(2-7)^{2}}=\boxed{\sqrt{26}}

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Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bou
sattari [20]

Answer:

  a. The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).

Step-by-step explanation:

The second equation needs to be ...

   5x +5y = 50

because the wording "short of $18" means that the actual cost of that purchase would be $18 more than the $32 that Harry had. 18+32 = 50.

The only answer choice that shows this as the second equation is choice A.

__

In fact, the solution to the system of equations is (8, 2), as can be seen in the graph below.

4 0
4 years ago
if the range of the function f(x)=x/4 is {28,30,32,34,36}, what is its domain?a. {112, 120, 128, 136, 144}b. {118, 122, 124, 132
Romashka [77]
f(x)=\dfrac{x}{4}\to y=\dfrac{x}{4}\to x=4y\\\\y\in\{28;\ 30;\ 32;\ 34;\ 36\}\\\\4\cdot28=112\\4\cdot30=120\\4\cdot32=128\\4\cdot34=132\\4\cdot36=144\\\\Answer:D=\{112;\ 120;\ 128;\ 136;\ 144\}\to\fbox{a.}
3 0
4 years ago
8 x 4 + 9 -9 + 18 answer
cestrela7 [59]

Answer:

50

Step-by-step explanation:

8 x 4 + 9 -9 + 18

PEMDAS says multiply first

32 + 9 -9 + 18

Then add and subtract from left to right

41-9+18

32+18

50

4 0
3 years ago
Read 2 more answers
A=7x^2-3x+10 B=-4x^2+6x-4<br> A-B=
pogonyaev

Step-by-step explanation:

A-B

=7x-6x/2 +10) - (-2x +6x-4)

=x/2+10- 4x+4

= x-8x /2 +14

=-7x/2+14

5 0
3 years ago
Which two equations would be most appropriately solved by using the zero product property? Select each correct answer.
ss7ja [257]

Answer:

1) (x + 4)(x - ½) = 0

4x² + 16x = 0

2) 0.25x² + 0.8x - 8 = 0

3x² - 4x = 15

Step-by-step explanation:

1) (x + 4)(x - ½) = 0

x = -4, ½

4x² + 16x = 0

4x(x + 4) = 0

x = 0, -4

2) (x - 6)(x + 9) = 0

x = 6, -9

(x - 1)² = 4

(x - 1)² - (2)² = 0

(x - 1 - 2)(x - 1 + 2) = 0

(x - 3)(x + 1) = 0

x = 3, -1

These two are easier to solve using product = 0 property, while the other two would be easier using the quadratic formula

8 0
4 years ago
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