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castortr0y [4]
3 years ago
13

How do you solve question 26?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

Insert the point (-2, 3)

2·a·(-2) - b·3 - 5 = 0 --> - 4·a - 3·b - 5 = 0 --> 8·a + 6·b + 10 = 0

b·(-2) + 3·a·3 - 15 = 0 --> 9·a - 2·b - 15 = 0 --> 27·a - 6·b - 45 = 0

I + II

35·a - 35 = 0 --> a = 1

8·1 + 6·b + 10 = 0 --> b = -3


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The perimeter of the triangle is 13 inches. What is the length of the shortest side?
vlabodo [156]

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

x - 5 + \frac{x}{2} + 6 = 13

Solve to find the value of x

\frac{2x - 10 + x + 12}{2} = 13

\frac{3x + 2}{2} = 13

Multiply both sides by 2

\frac{3x + 2}{2}*2 = 13*2

3x + 2 = 26

Subtract 2 from both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide both sides by 3

\frac{3x}{3} = \frac{24}{3}

x = 8

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

6 0
2 years ago
I will make brainliest
Semmy [17]

Answer:

81.64

Step-by-step explanation:

formula for volume of a cylinder is pi times radius squared times height

the radius here is 2, and the height is 6.5

plug the numbers into the formula and you get pi(2^2)(6.5), which is 81.64

8 0
3 years ago
cuanto dinero se debe invertir a un interes de 14% compuesto continuamente para tener $500,000 en 35 años?
Alja [10]

Answer:

Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.

Step-by-step explanation:

La cantidad ahorrada bajo interés compuesto está definida por la siguiente fórmula:

C(t) = C_{o}\cdot (1+r)^{t} (1)

Donde:

C_{o} - Capital inicial, medido en pesos.

C(t) - Capital actual, medido en pesos.

r - Tasa de interés, sin unidad.

t - Anualidad, medida en años.

Asumiendo que la tasa de interés compuesto es anual y si C(t) = 500000, r = 0.14 y t = 35, entonces el capital inicial es:

C_{o} = \frac{C(t)}{(1+r)^{t}}

C_{o} = \frac{500000}{(1+0.14)^{35}}

C_{o} = 5096.83

Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.

6 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Reptile [31]

Answer:

is it -2t^{2} or 2t^{2}?

6 0
2 years ago
What is the correlation coefficient for the data shown in the
SCORPION-xisa [38]

Answer:

1

Step-by-step explanation:

7 0
2 years ago
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