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2 years ago

What is the solution to this system of linear equations? 7x – 2y = –6 8x y = 3 (–6, 3) (0, 3) (1, –5) (15, –1)

Mathematics

2 answers:

never [62]2 years ago

4 0

Answer: B

Step-by-step explanation:

erik [133]2 years ago

3 0

Answer:

$(0,3)$

Step-by-step explanation:

we have

$7x-2y=-6$ ----> equation A

$8x+y=3$ ----> equation B

Multiply the equation B by 2 both sides

$2(8x+y)=2*3$

$16x+2y=6$ ------> equation C

Adds equation A and equation C

$7x-2y=-6\\16x+2y=6\\--------\\7x+16x=-6+6\\23x=0\\x=0$

Find the value of y

$7(0)-2y=-6$

$-2y=-6$

$y=3$

the solution is the point $(0,3)$

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“The product of a number and 4”

RoseWind [281]

Answer:

Mmm... a product would be like 10+4=14

Step-by-step explanation:

thats what you are looking for right

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2 years ago

$24 saved after 3 weeks; $52 saved after 7 weeks. are these ratios equivalent

SIZIF [17.4K]

To figure out this question, I first divided 24 into 3, which gives me an answer of 8. then I divided 52 into 7 , which also is 8 . because the two numbers are the same, I know the ratios are equivalent.

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2 years ago

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The smallest natural number divisible by 2,3,4,5,6,8 and 9 is____.

SVETLANKA909090 [29]

Answer:

360

Step-by-step explanation:

You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.

You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.

Finally you will need 1 five

The smallest number divisible by all of these is 2*2*2*3*3*5 = 360

360/2 = 180 works
360/3 = 120 works
360/5 = 72 works
360/6 = 60 works
360/8 = 45 works
360/9 = 40 works.

There is no smaller number below 360 which will work.

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2 years ago

WILL BE BRANLIEST!!!

stiks02 [169]

Answer:

See explanation

Step-by-step explanation:

A. Solution set is in the attachment (dark green shading in the middle)

B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15

5 + 1 > 3, 6 is greater than 3

C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches

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2 years ago

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In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.

pshichka [43]

Answer:

The answer is:

$\bold{c\approx 20.2\ units}$

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

Putting all the values.

$cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units$

The answer is:

$\bold{c\approx 20.2\ units}$

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2 years ago