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stira [4]
2 years ago
12

Which equation represents a line which is perpendicular to the line 5x + 2y = 12?

Mathematics
1 answer:
o-na [289]2 years ago
7 0

Answer:

<h2>          y = ²/₅ x - 3</h2>

Step-by-step explanation:

Changing to slope-intercept form:

5x + 2y = 12         {subtract 5x from both sides}

2y = -5x + 12         {divide both sides by 2}

y = -⁵/₂ x + 6

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y =-⁵/₂ x + 1    ⇒     m₁ =  -⁵/₂

-⁵/₂× m₂ = -1      ⇒   m₂ = ²/₅

So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅

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Answer:

33 cents

Step-by-step explanation:

4/12=1/3=0.33=33 cents

5 0
3 years ago
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5. I need help with question in the attached picture!
igomit [66]

ANSWER

x=100,y=10

EXPLANATION

The given logarithmic equations are;

log_{10}( {x}^{2}  {y}^{3} )  = 7

This implies that,

{x}^{2}  {y}^{3}  =  {10}^{7} ...(1)

and

log_{10}( \frac{x}{y} ) = 1

This implies that,

\frac{x}{y}  =  {10}^{1}

x = 10y...(2)

Put equation (2) into equation (1)

{(10y)}^{2}  {y}^{3}  =  {10}^{7}

10 ^{2} y^{2}  {y}^{3}  =  {10}^{7}

{y}^{5}  =  {10}^{5}

Hence y=10.

This implies

x = 10(10) = 100

3 0
3 years ago
The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on th
notka56 [123]
The speed to the island is x. The speed to return is x+5.

The distance is the same so, 2.5 multiplied by x = 2×(x+5).

It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.

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hope this helps!

6 0
3 years ago
How to do this question
Bas_tet [7]

Answer:

x

Step-by-step explanation:

factor out both equations and then cancel any of the common factors. You should be left with 4x/4, which simplified is x

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Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. tan 26° = ___
barxatty [35]

Answer:

0.49

Explanation:

Given the expression:

tan 26°

Evaluating using calculator

tan 26° = 0.4877

Hence the decimal rounded to the nearest hundredth is 0.49

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1 year ago
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