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Vinil7 [7]
4 years ago
8

ASAP PLEASEwrite an equation for the line that is parallel to tue given line and that passes through the given point. y=-5x+3; (

-6,3)
Mathematics
1 answer:
max2010maxim [7]4 years ago
7 0

Answer:

y=-5x-27

Step-by-step explanation:

Since we are finding a parallel line, the slopes will be the same, so the second equation will also have a slope of -5.

Then, to find the y-intercept, we can use the point given and plug in.

y=-5x+b

3=-5(-6)+b

3=b+30

b=-27

So the equation comes out to be y=-5x-27

We can check by plugging in the given point again.

3=-5(-6)-27

3=30-27

3=3

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Bond [772]

Answer:

84 x is your answer right answer right

4 0
3 years ago
a carnival game consists of 3 dart throws at a target. The probability of scoring a hit on any one throw is 30%. Using the binom
Ghella [55]

Answer:  Probability of scoring 2 hits = 0.63.

Step-by-step explanation:

Since we have given that

Number of dart throws at a target = 3

Probability of scoring a hit on any one throw = 30%

We will use "Binomial Distribution" i.e.

P=^nC_rp^r(1-p)^{n-r}

where,

n denotes number of dart throws at a target,

r denotes number of required throws

p denotes probability of success

(1-p) denotes probability of failure

So, Probability of success is given by

\frac{30}{100}=\frac{3}{10}

Probability of failure is given by

1-\frac{30}{100}=\frac{70}{100}=\frac{7}{10}

We will use "Binomial Distribution" i.e.

P(X=2)=^3C_2(\frac{3}{10})^2\times (\frac{7}{10})\\\\P(X=2)=\frac{9}{100}\times \frac{7}{100}\\\\P(X=2)=\frac{63}{100}\\\\P(X=2)=0.63

Hence, Probability of scoring 2 hits = 0.63.

3 0
4 years ago
The table represents a function.
Zarrin [17]

We have to complete the statement:

" The rate of change in the function y=x+4 is ______ the rate of change of the function represented in the table."

Let us consider the function represented in table.

The coordinates given in the table are:

(0,6) (2,8) (4,10) and (6,12)

Consider the first two coordinates (0,6) and (2,8)

x_{1}=0 , y_{1}=6, x_{2}=2 , y_{2}=8

Equation of line is given by (y-y_{1})=m(x-x_{1})

where 'm' is slope(rate of change) is given by the formula:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

So, m = \frac{8-6}{2-0}=1

So, equation of line is :

(y-6)= 1 (x-0)

y-6=x

y=x+6

Comparing it with standard equation of line y=mx+c with slope 'm'.

So, we get m(Rate of change)=1.

Now,

We will find the rate of change(slope) in the function y=x+4

Comparing it with standard equation of line y=mx+c with slope 'm'.

So, we get m(Rate of change)=1.

So, " The rate of change in the function y=x+4 is equal to the rate of change of the function represented in the table.

7 0
4 years ago
Simplify:
wlad13 [49]

Answer:

The answer to your question is  letter C. 7y³  + 7n²y²  - 22y²

Step-by-step explanation:

                                   y²(4y + 7n² + 2) - 3y² (-y + 8)

Multiply

                                 4y³ + 7n²y² + 2y² + 3y³ - 24y²

Use the associative property for like terms

                               (4y³ + 3y³) + (2y² - 24y²) + 7n²y²

Simplify like terms

                                7y³ - 22y² + 7n²y²   or    7y³  + 7n²y²  - 22y²        

5 0
4 years ago
Involves sine/cosine rules
katen-ka-za [31]

Answer:

44.47 cm² (nearest hundredth)

Step-by-step explanation:

Area of ΔABC = 1/2 x base x height

⇒ 21 = 1/2 x 7 x BC

⇒ BC = 6 cm

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AB² + BC² = AC²

⇒ 7² + 6² = AC²

⇒ AC² = 85

⇒ AC = √85 cm

Cosine rule to find length AD:

      c² = a² + b² - 2 ab cosC

⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)

⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°

⇒ AD²  - 5.39106...AD + 0.36 = 0

⇒ AD = 5.323442445, 0.06762541414

⇒ AD = 5.323442445

Area of a triangle ADC: (1/2)absinC

(where a and b are adjacent sides and C is the angle between them)

⇒ area = (1/2) × AC × AD × sin(DAC)

⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)

⇒ area =23.4675821... cm²

Area of quadrilateral = area of ΔABC + area of ΔADC

                                   = 21 + 23.4675821...

                                   = 44.47 cm² (nearest hundredth)

4 0
2 years ago
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