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Nostrana [21]
3 years ago
5

When 4a-9b=22 and b= -2, what is the value of a? A.-10/3 B.-14/9 C.1 D.4 E.10

Mathematics
2 answers:
ycow [4]3 years ago
7 0

4a-9b=22

substitute b=-2

4a -9(-2) = 22

4a +18 =22

subtract 18 from each side

4a = 4

divide by 4

a =1

Choice C

IRISSAK [1]3 years ago
5 0

Answer:

a=1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4a+18=22

Step 2: Subtract 18 from both sides.

4a+18−18=22−18

4a=4

Step 3: Divide both sides by 4.

4a /4 = 4 /4

a=1

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Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

3 0
3 years ago
Suppose a normal distribution has a mean of 62 and a standard deviation of4. What is the probability that a data value is betwee
saw5 [17]

SOLUTION

From the given data the mean is 62 and standard deviation is 4

It is required to find the probability that a data value is between 57 and 62

That is:

P(57\lt x\lt65)

The z scores is calculated using:

z=\frac{x-\mu}{\sigma}

Using the x values it follows:

z=\frac{57-62}{4}=-1.25

Also,

z=\frac{65-62}{4}=0.75

Thus the required probability is:

P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%

Therefore the correct option is C

8 0
1 year ago
I need help... I honestly don’t know.
Serhud [2]

Answer:

∡ABC=55°

Step-by-step explanation:

<u>Step 1: Identify all angles</u>

∠A=(x+45)°

∠B=(6x+5)°

∠C=(3x)°

∠ABC=(180-∠B)°=(180-(6x+5))°

<u>Step 2: Use the Triangle Angle Sum Theorem</u>

∠A+∠ABC+∠C=180°

(x+45)+(180-(6x+5))+(3x)=180

x+45+180-6x-5+3x=180

-2x+45+180-5=180

-2x+45-5=0

-2x+40=0

-2x=-40

x=20

<u>Step 3: Plug in x=20 for ∠ABC</u>

∠ABC=(180-(6x+5))°

(180-6(20)-5)°

(180-120-5)°

(60-5)°

55°

So ∡ABC=55°

8 0
3 years ago
Read 2 more answers
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Natasha2012 [34]
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4 0
3 years ago
May someone pls help with this?
NemiM [27]

Answer:

p = 308

Step-by-step explanation:

4 0
3 years ago
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