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postnew [5]
3 years ago
10

In this question, all lengths are in centimetres.

Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

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Solve by completing the square. Round your answers to the nearest tenth and then locate the greater solution. <img src="https://
Andrews [41]

Step-by-step explanation:

Step 1: Write our Givens

{x}^{2}  + 10x - 7 = 0

Move the constant term ,(the term with no variable) to the right side.

Here we have a negative 7, so we add 7 to both sides

{x}^{2}  + 10x = 7

Next, we take the linear coeffeicent and divide it by 2 then square it.

( \frac{10}{2} ) {}^{2}  = 25

Then we add that to both sides

{x}^{2}  + 10x + 25 = 7 + 25

{ {x}^{2} } + 10x + 25 = 32

Next, we factor the left,

(x + 5)(x + 5) = 32

we got 5 because 5 add to 10 and multiply to 25 as well.

so we get

(x + 5) {}^{2}  = 32

This is called a perfect square trinomial.

Next, we take the square root of both sides

x + 5 = ± \sqrt{32}

± menas that we have a positive and negative solution.

Subtract 5 form both side so we get

x =  - 5± \sqrt{32}

The greater solution is when sqr root of 32 is positive so the answer to that is

\sqrt{32}  - 5 = 0.7

3 0
2 years ago
Which expression is equivalent to 3√x5y<br>what is it?​
daser333 [38]

Answer: 3x^2 √xy

Step-by-step explanation:

5 0
3 years ago
Heidi milks two cows. She gets 5 over 6 of a gallon of milk from the first cow and 2 over 3 of a gallon from the second cow. On
melamori03 [73]

Answer:

1 gallon

Step-by-step explanation:

milk she got from both cows

= 5/6+2/3

=1 1/2

milk left after some spilled

= 1 1/2- 1/2

= 1

5 0
3 years ago
El sábado he gastado 3/5 del dinero que tenía para el fin de semana, el domingo 3/4 de
Vladimir79 [104]

Answer:

Her original amount of money can be represented by the variable x

Because we are spending one-fourth of her money, and “of” translate to multiply, we can write 1/4(x), or equivalently we can say 0.25x of her money, if you prefer decimal.

When you say 1/2 of it, this refers to the original amount of money, x, unless the problem wants you to figure how much 1/2 of the remaining amount is. So if the problem is directly asking for 1/2 of it, that would’ve half of x, or 0.5x in decimal.

Remaining was 50 pence, so the original amount minus 1/4 of the amount minus 1/2 the amount equals 50 pence or .50 giving us the equation: x-0.25x-0.5x=.50

Combine like terms on the left, and we have 0.25x=0.50.

Divide by 0.25 on both sides.

We have x equals 2.

So she started with $2. To check this, we ask ourselves does having $2, and spending 1/4 of it and spending 1/2 of it, then result to 50 pence?

Yes it does, because 2–1–0.5 does in fact equal 0.50 (50pence)

Su cantidad original de dinero puede ser representada por la variable x Debido a que estamos gastando una cuarta parte de su dinero, y "de" se traduce para multiplicar, podemos escribir 1/4 (x), o equivalentemente podemos decir 0.25x de su dinero , si lo prefiere decimal. Cuando dices la mitad, esto se refiere a la cantidad original de dinero, x, a menos que el problema quiera que calcules la mitad de la cantidad restante. Entonces, si el problema es pedir directamente la mitad, tendría la mitad de x, o 0.5x en decimal. El restante era 50 centavos, por lo que la cantidad original menos 1/4 de la cantidad menos la mitad de la cantidad es igual a 50 peniques o .50, lo que nos da la ecuación: x-0.25x-0.5x = .50 Combina términos semejantes a la izquierda, y tenemos 0.25x = 0.50 Divide por 0.25 en ambos lados, tenemos x igual a 2. ella empezó con 2 dólares. Para comprobar esto, nos preguntamos si tener 2 dólares y gastar 1/4 de ellos y gastar la mitad de ellos, ¿da como resultado 50 centavos? sí eso

Step-by-step explanation:

4 0
2 years ago
If Michelle spends $1.60 for lunch and $.80 for snacks each day, how much does she spend in 5 days? Use the distributive propert
V125BC [204]
5(1.60+0.80)
(8+4)
12
Therefore Michelle spends 12 dollars in 5 days
8 0
3 years ago
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