Work out m and c for the line:y=3x-2

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]

applying the law of sines to find the unknown sides:

[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]

[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]

so,

[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]

Answer:

17

Step-by-step explanation:

11 - 2(-3) = 11 + 6 = 17

should put -3 where x is

Answer:

Don't understand 12am like how

Answer:

3 cents

Step-by-step explanation:

cost of  20 markers=$6

cost of 1 marker=?

Cost of 1 marker = 6/20 = 3/10 = 0.3

It costs 3 cents.

Answer:

21.c

22.b

23.c

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont nkoe

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Learn more about quadratic equations here: brainly.com/question/1863222

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Answer:

a = 1.4 and d = 6.9

Step-by-step explanation:

To get the value of d and a, we will use the SOH CAH TOA identity

For the first tringle;

Opposite = d ((opposite angle 60 degrees)

Adjacent = 4

Tan theta = opp/adj

Tan 60 = d/4

d  = 4tan60

d = 4(1.732)

d = 6.9

For the second triangle;

Opposite = a

Hypotenuse = 2

Since sin theta = opp/hyp

Sin45 = a/2

a = 2sin45

a = 2(0.7071)

a = 1.4

Hence a = 1.4 and d = 6.9

Answer:

Step-by-step explanation:

Fraction:

0.8 = 8/10 = 4/5

Percent:

0.8*100 = 80%

Answer:

0.8 can be written as

8/10 and

Percentage = 8/10 × 100

Percentage = 8 × 10

Percentage = 80%

Or,

Simply

Percentage = 0.8 × 100

Percentage = 80%

[tex] \\ [/tex]

Answer:

Step-by-step explanation:

As here,

3 cm + 6 cm = 9cm. = 9cm

And as we know,

According to Triangle Inequality Property,

Measurement of any two sides of a triangle is always greater than the third side.

But here,

Sum of two sides is same as the third side,

So,

Option D is the required answer.

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

1. x+y=20,000

2. 105x+75y=$1,740,000

Step-by-step explanation:

let x be the stage level seats and y be the higher level seats.

Answer:

g=dx

Or, if you'r wanting the solved equation..

12 = 0.5 x 24

Step-by-step explanation:

If she has 12 gallons in her tank and you look at what it's asking us to do, "..number of gallons of gas, g" pairs up with the 12 gallons while the 0.5 gallons used per day pairs with "...the number of days, d, she has driven to school."

Hope this helped!

The answer is C aka answer 3

Answer:

40 mph

Step-by-step explanation:

160÷4 = 40 miles per hour

Answer:

40miles per hour

Step-by-step explanation:

distance traveled/time spent=speed(velocity)

160/4=speed (velocity)

40mph

Answer:

As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Step-by-step explanation:

As the standard deviation for the past due amounts is 63

The sample size n= 67

1) Formulate the null and alternate hypothesis

H0: u ≤ 23 against the claim Ha: u > 23

2)  The test statistics is

Z= x- u / σ/ √n

z= 20- 23/ 63/ √67

z= 0.00581

z= 0.006

3) The significance level ∝= 0.1

4) The critical value for ∝= 0.1 is Z > ±2.33

5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Answer: <

6.12 x 10^4 < 612,000

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

D  (-18)

___________________________________________________________

The image always helps me, please don't be afraid to point out any mistakes, I hope I helped have a great day!

Answer:

x=3

Step-by-step explanation:

Sub y=x-1 into 2x+y=8.

You will get 2x+x-1=8.

Simplify 3x-1=8

Solve 3x=9

x=3

Answer:

$0.70 per ear of corn

Step-by-step explanation:

Let c = Ear of corn

Let b = pound of bananas

First shopper:

7c + 6b = $5.15

Second Shopper:

4c + 1b = $1.85

Solve one equation for b since you are solving for c:

4c + 1b = $1.85

b = $1.85 - 4c

Substitute into other equation:

7c + 6b = $5.15    <---  b = $1.85 - 4c

7c + 6 ($1.85 - 4c) = $5.15

7c + $11.1 - 24c = $5.15

-17c + $11.1 - $11.1 = $5.15 - $11.1

-17c /-17 = -$11.85 /-17

c = $0.70 per ear of corn

Leave a like and mark brainliest if this helped

Answer:

The minumum value is the Smalles numer.

Step-by-step explanation:

Minumum= Lowest number

Maximum= Highest number

Range= Minumum and Maximum multiplied/added togheter.

IQR= Interquartile range

Answer:

The missing number of chicken nuggets is 5.

Step-by-step explanation:

To find the mean of this data set, we must add every number together, then divide the sum by how many numbers are present.

Like this,

1 + 3 + 0 + 6 = 10

10 / 4 = 2.5

There are 4 present numbers in this data set, and one is missing.

Since the only number divided by 5 that would give you a quotient of 3 is 15, the missing number is 5.

Because,

1 + 3 + 0 + 6 + 5 = 15

15 / 5 = 3

Therefore, 5 is the missing number of the data set.

A. Angle E = 113°

B. x = 16°

Number A

92 + 70 + 85 + ? = 360

162 + 85 + ? = 360

247 + ? = 360

? = 360 - 247

? = 113°

Number B

108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360

(180 + 84 + 30 + 18) + (x + 2x) = 360

312 + 3x = 360

3x = 360 - 312

3x = 48

x = 48/3

x = 16°

#LearnWithBrainly

Answer:

Step-by-step explanation:

Answer:

The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13

Step-by-step explanation:

plz mark me as brainliest

Answer:

Step-by-step explanation:

1 : 2 = 3 : 6

6 parts vinegar

Social Studies is 90

Language Arts is 94

Social Studies : Language Arts

4.5 × 50 = 225 miles