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3 years ago

Solve the system of linear equations below. x - 3y = -3 x + 3y = 9

Mathematics

1 answer:

Step2247 [10]3 years ago

3 0

Answer:

system of lenear equations

Step-by-step explanation:

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Find the value of x of this question

mel-nik [20]

<h3>Let's understand the concept:-</h3>

Here angle B is 90°
So $\triangle ABC$ and $\triangle ABD$ Are right angled triangle
So we use Pythagoras thereon for solution

<h3>Required Answer:-</h3>

First in triangle ABC

perpendicular=p=8cm

Hypontenuse =h =10cm

We need to find base=b

According to Pythagoras thereon

${\boxed{\sf b^2=h^2-p^2}}$

Substitutethe values

$\longrightarrow$ $\sf b^2=10^2-p^2$

$\longrightarrow$ $\sf b={\sqrt {10^2-8^2}}$

$\longrightarrow$ $\sf b={\sqrt{100-64}}$

$\longrightarrow$ $\bf b={\sqrt {36}}$

$\longrightarrow$ $\sf b=6$

$\therefore$ $\overline{BC}=6cm$

BD=BC+CD

$\longrightarrow$ $BD=9+6$

$\longrightarrow$ $BD=15cm$

Now in $\triangle ABD$

Perpendicular=p=8cm

Base =b=15cm

We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

${\boxed {\sf h^2=p^2+b^2}}$

Substitute the values

$\longrightarrow$ $\sf h^2=8^2+15^2$

$\longrightarrow$ $\sf h={\sqrt {8^2+15^2}}$

$\longrightarrow$ $\sf h={\sqrt {64+225}}$

$\longrightarrow$ $\sf h={\sqrt {289}}$

$\longrightarrow$ $\sf h=17cm$

$\therefore$ ${\underline{\boxed{\bf x=17cm}}}$

8 0

3 years ago

P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?

OverLord2011 [107]

Answer:

P(A and B) = 7/80

Step-by-step explanation:

The given values of the probabilities of the different events are;

P(A) = 7/20

P(B) = 7/20

P(A or B) = 49/80

P(A and B) = Required

We have by probability theory for any event;

P(A or B) = P(A) + P(B) - P(A and B)

Therefore;

P(A and B) = P(A) + P(B) - P(A or B)

Plugging in the values gives;

P(A and B) = 7/20 + 7/20 - 49/80 = 7/80

∴ P(A and B) = 7/80

8 0

3 years ago

Plz help ASAP THANKS!! ❤️ Image above^^^

Len [333]

Answer:

Step-by-step explanation:

you can automatically tell that it is C because the angles are a right angle together. A right angle is 90 degrees, which means that the angles together would be x=(4z-85)=90

3 0

4 years ago

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a person wishes to mix coffee worth $9per pound with coffee worth $3 per pound to get a 90 lb of a mixture worth $3 per lb. how

Alika [10]

31 pounds of 3$ and 12 of the 9$

7 0

3 years ago

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Clayton and Timothy took different sections of Introduction to Economics. Each section had a different final exam. Timothy score

Andrews [41]

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Timothy scored 83 out of 100.

His percentile rank in his class = 72

Clayton scored 85 out of 100.

His percentile rank in his class = 70.

Since Clayton's percentile rank is lower than Timothy's rank.

So, Timothy performed better with respect to the rest of the students in the class.

Hence, Timothy as his percentile score is higher.

Therefore, Fourth option is correct.

5 0

3 years ago