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pantera1 [17]
3 years ago
12

How do you put -6 + 9 in a number line?

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
Ok, so you either put positive 3 on the number line, or you start at -6, and then draw a line (above the actual number line) to positive 9. 
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The slope of a line parallel to the graph of 4x-5y=12
Leya [2.2K]
Parallel lines have the same slope.

4x-5y=12 \\ -5y=-4x+12 \\ y= \frac{4}{5}x- \frac{12}{5}   \\  \\ slope:\frac{4}{5}
6 0
3 years ago
please help :{ brainliest if you can get it right and I need you to prove why your answer is correct, thanksss​
beks73 [17]

Answer:

The Value of a=\frac{15}{4}.

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

sin\ \theta = \frac{opposite\ side}{Hypotenuse}

sin \ S= \frac{PQ}{QS}

Substituting the given values we get;

sin\ 30\°=\frac{x}{15}

Now we know that;

sin\ 30\° = \frac12

So we can say that;

\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\

Cos\ Q = \frac{QR}{PQ}

Substituting the given values we get;

cos 60\°= \frac{a}{x}

Now we know that;

cos 60\°= \frac12

x=\frac{15}{2}

So substituting the values we get;

\frac{1}{2}=\frac{a}{\frac{15}{2}}

By Using Cross Multiplication we get;

a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}

Hence The Value of a=\frac{15}{4}.

6 0
3 years ago
The sum of two numbers is ten. the difference between them is 8 . find the two numbers
alexira [117]

x+y=10

x-y=8, x=y+8

y+8+y=10

2y=2

y=1

So, x=10-y=10-1=9.

Numbers Would be 9 and 1.


3 0
3 years ago
Sasha makes a wooden base for a sculpture with the dimensions shown.
murzikaleks [220]
C? if im wrong so sorry!
8 0
3 years ago
Read 2 more answers
A spinner has 10 equally sized sections, 5 of which are gray and 5 of which are blue. The spinner is spun twice. What is the pro
zhenek [66]

Answer:

P(Gray\ and\ Blue) = \frac{1}{4}

Step-by-step explanation:

Given

Sections = 10

n(Gray) = 5

n(Blue) = 5

Required

Determine P(Gray and Blue)

Using probability formula;

P(Gray\ and\ Blue) = P(Gray) * P(Blue)

Calculating P(Gray)

P(Gray) = \frac{n(Gray)}{Sections}

P(Gray) = \frac{5}{10}

P(Gray) = \frac{1}{2}

Calculating P(Gray)

P(Blue) = \frac{n(Blue)}{Sections}

P(Blue) = \frac{5}{10}

P(Blue) = \frac{1}{2}

Substitute these values on the given formula

P(Gray\ and\ Blue) = P(Gray) * P(Blue)

P(Gray\ and\ Blue) = \frac{1}{2} * \frac{1}{2}

P(Gray\ and\ Blue) = \frac{1}{4}

3 0
3 years ago
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