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3 years ago

I NEED HELP!!!

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

6 0

Answer:

x= -2, y = -3

Step-by-step explanation:

1. substitute x = 4+2y in the first equation: $\begin{bmatrix}2\left(4+2y\right)+y=-7\end{bmatrix}$

simplify it : $\begin{bmatrix}8+5y=-7\end{bmatrix}$

2. isolate y in 8 + 5y = -7 --> 5y = -7 - 8 -->

3. solve for y: 5y = -15 --> y = -15/5 --> y= -3

4. solve for x: x = 4 + 2y

x = 4 + 2(-3)

x = 4 + (-6)

x = -2

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Can you please help? The question is in the picture picture. thank you

Naddika [18.5K]

Given:

The value is $\dfrac{\sqrt{2}}{2}$ .

To find:

The values from the given options which are equal to the given value.

Solution:

We have,

$\dfrac{\sqrt{2}}{2}$

It can be written as:

$\dfrac{\sqrt{2}}{2}=\dfrac{1}{\sqrt{2}}$

From the standard trigonometric table, we get

$\sin 30^\circ=\dfrac{1}{2}$

$\sin 45^\circ=\dfrac{1}{\sqrt{2}}$

$\cos 45^\circ=\dfrac{1}{\sqrt{2}}$

$\cos 60^\circ=\dfrac{1}{2}$

$\tan 30^\circ=\dfrac{1}{\sqrt{3}}$

$\tan 45^\circ=1$

From the above values it is clear that the value of $\sin 45^\circ$ and $\cos 45^\circ$ are equal to $\dfrac{1}{\sqrt{2}}$ .

Therefore, $\sin 45^\circ$ and $\cos 45^\circ$ and equal to $\dfrac{\sqrt{2}}{2}$ . So, options B and C are correct.

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3 years ago

What additional information do you need to prove △ABC ≅ △DEF by the SSS Postulate?

borishaifa [10]

The answer to this question is answer choice A.

We want three pairs of congruent sides, but we only have 2 pairs in the image. If AB is congruent to DE, we'll have 3 pairs of congruent sides and the triangle will be proven congruent by the SSS postulate.

Hope this helps! :)

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3 years ago

the diagram shows the repairs performed on 2 types of cars compare the car types using the median and the mean

mash [69]

Answer:

The correct option is 2.

Step-by-step explanation:

The box plot represents the minimum value, first quartile , median, third quartile and maximum value.

From the box plot of Roadsters is it notices that

$\text{Lower limit}=2$

$Q_1=3$

$Median=4$

$Q_3=5$

$\text{Upper limit}=9$

From the box plot of Bandits is it notices that

$\text{Lower limit}=2$

$Q_1=3$

$Median=4$

$Q_3=5$

$\text{Upper limit}=6$

From the these information we can say that the median of both cars is same but bandit have lower mean because all four values of both cars is same but the upper limit of bandit is less.

Therefore option 2 is correct.

3 0

3 years ago

Read 2 more answers

Change the fraction 1/5 to a percent.<br> A. 12%<br> B. 20%<br> C. 50%<br> D. 45%

nexus9112 [7]

Answer:

B 20%

Step-by-step explanation:

100÷5= 20

1×20=20

4 0