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3 years ago

Evaluate 6 - 2(-1) + | -5 | =

Mathematics

1 answer:

tester [92]3 years ago

8 0

Answer:

Step-by-step explanation:

The product of two negative numbers is positive. The absolute value of a number is its magnitude written with a positive sign.

6 -2(-1) +|-5|

= 6 + 2 + 5

= 13

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Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)

kifflom [539]

Answer:

$\displaystyle y=\frac{2}{3}(x+5)+2$

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

$\displaystyle y=-\frac{3}{2}x+4$

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}$

$\displaystyle m_2=-\frac{1}{-\frac{3}{2}}$

$\displaystyle m_2=\frac{2}{3}$

Now we know the slope of the new line, we use the slope-point form of the line:

$y=m(x-h)+k$

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

$\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}$

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3 years ago

Triangle ABC is a right triangle.

Nastasia [14]

Answer:

mZA=50

mZB=28

mZC=90

value of x is 28 how i got it was 32-4.

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2 years ago

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dedylja [7]

Substituting L = 7.29,

$t = 2.01 \sqrt{7.29} \approx \boxed {5.4}$

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2 years ago

In a certain card game, for every 44 blue cards, there are 33 yellow cards. There are a total of 84 blue and yellow cards in the

worty [1.4K]

Use a proportion.

A ratio of 44 blue to 33 yellow is the same as a ratio of 4 blue to 3 yellow.

Since you are told the total of cards, 84, add 3 + 4 = 7

In the deck, the cards are int he ratio of 4 blue to 3 yellow to 7 total.

4 blue to 7 total = x blue to 84 total

4/7 = x/84

7x = 4 * 84

x = 4 * 12

x = 48

There are 48 blue cards.

8 0

3 years ago

6/13=3/c. Solve for C

nignag [31]

X=13/2 or 6.5 i hope this helps

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3 years ago