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3 years ago

Which is the approximate solution for the system of equations 3x+4y=2 and 4x+y=-4

Mathematics

2 answers:

harina [27]3 years ago

6 0

$3x+4y=2\qquad\text{subtract 3x from both sides}\\\\4y=-3x+2\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{2}{4}\to y=-\dfrac{3}{4}x+\dfrac{1}{2}\\\\for\ x=0\to y=-\dfrac{3}{4}(0)+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\to\left(0,\ \dfrac{1}{2}\right)\\\\for\ x=2\to y=-\dfrac{3}{4}(2)+\dfrac{1}{2}=-\dfrac{3}{2}+\dfrac{1}{2}=-\dfrac{2}{2}=-1\to(2,\ -1)\\--------------------------------\\$

$4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}$

eimsori [14]3 years ago

5 0

Answer:

A: -1.4, 1.5

Step-by-step explanation:

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Can someone please help me, this is for summer school and I need fast replies, I have 29 other question like these, please help.

Yuri [45]

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:- 8 {v}^{4} + 3 {v}^{3} + v + 5}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$(4 + 6v + 3 {v}^{3} ) - (5v + 8 {v}^{4} - 1)$

➼ $\: 4 + 6v + 3 {v}^{3} - 5v - 8 {v}^{4} + 1$

Combining like terms, we have

➼ $\: - 8 {v}^{4} + 3 {v}^{3} + 6v - 5v + 4 + 1$

➼ $\: - 8 {v}^{4} + 3 {v}^{3} + v + 5$

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$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

7 0

2 years ago

Arrange the following measurements in order from smallest to largest.

juin [17]

Answer:Arrange the following measurements in order from smallest to largest.

0.35 kilogram, 5 gram, 9.4 gram

Step-by-step explanation:Kilograms (Kg) and grams (g) are both units of measurement for MASS quantity. However, these units are not the same as they vary in magnitude. The kilograms is bigger unit of measurement than the grams. 1000grams makes 1kilograms.

According to this question, 0.35 kilograms 9.4 grams and 5 grams are to be arranged in ascending order i.e. from smallest to largest. First, we need to change all the units to the same.

We change 0.35kg to g

Since 1000g = 1kg

Then, 0.35kg = 0.35 × 1000

= 350g.

Rearranging the values, we have:

5 grams < 9.4 grams < 0.35 kilograms

THANKS

0.0

8 0

1 year ago

What is the answer? X=

Minchanka [31]

Answer:

Step-by-step explanation:

$\because \triangle ACB \cong \triangle DCE... (given) \\\therefore \angle A \cong \angle D... (c.a.c.t)\\\therefore m\angle A = m\angle D\\\therefore 50\degree = 10x\\\\\therefore x = \frac{50\degree}{10}\\\\\huge \orange {\boxed {\therefore x = 5\degree}}$