I need helppppppppppppppp

leonid [27]

Answer:

(a) scalene, see attachment

(b) acute, see attachment

(c) correct; isosceles

Step-by-step explanation:

(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.

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(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.

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(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.

4 0

3 years ago

1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of v

geniusboy [140]

Answer:

1)A) Minimize C = 40x + 100y.

2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.

3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.

Step-by-step explanation:

1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:

minimize cost = cost of energize pill + cost of excel pill

Minimize cost = 40x + 100y

2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.

7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:

7x + 8y≤ 190

5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:

5x + 4y ≤ 22

Also assemble time and mechanical time must be greater than 0, hence:

x ≥ 0, y ≥ 0

3) The fieldwork constraint can be represented as:

23x + 15y ≥ 154

The time to be spent at university research center can be represented as:

17x + 25y ≥ 140

Both fieldwork time and time spent at university research center mut be greater than 0, hence:

x ≥ 0, y≥ 0

The cost equation is:

Minimize cost = 295x + 416y

5 0

3 years ago

Which function has the same y-intercept as the function y equals 2/3 x - 3

aleksley [76]

We have the function $y = \frac{2}{3} x -3$ and we want to find a function that has the same y-intercept than the previous function.

First, let's find the y-intercept by subtituting 0 for 'x'.

$y = \frac{2}{3} (0) -3 = -3$

Now that we found that y-intercept =-3, any lineal function of the type: $y = ax - 3$ will have the same y-intercept. Where 'a' can take all the real values.

Also, any quadratic function of the type: $y=ax^{2} + bx - 3$ will have the same y-intercept. Where 'a' and 'b' can take all the real values.

6 0

3 years ago

10-x=5<br> What is X???I need help

Bogdan [553]

10-x =5

-x= 5-10

-x = -5

x= 5

<h2>Answer : x=5</h2>

3 0

2 years ago

Read 2 more answers

Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.

Dimas [21]

9514 1404 393

Answer:

FH = 16

Step-by-step explanation:

ΔGHE is a 5-12-13 triangle.

ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.

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(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.

If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.

For ΔEHG, that is ...

GE² = EH² + HG²

13² = EH² + 5²

EH² = 13² -5² = 169 -25 = 144

And for ΔEHF, ...

FE² = EH² +HF²

20² = 144 + HF²

400 -144 = HF² = 256

HF = √256 = 16

The length of side FH is 16 units.

5 0

2 years ago