Question 30
A person standing 44 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles
are similar.

Please help!!!

Answer: m> 49/12

Step-by-step explanation:

The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.

The graph is a parabola with the minimum where x= -b/2a = -7/6.

To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.

3(49/36) - 49/6 + m < 0

49/12 - 49/6 + m < 0

(49-98)/12 + m < 0

-49/12 + m < 0

m < 49/12

The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that:

The equation of the graph:

y = 3x² + 7x + m

If the above quadratic function has two x-intercepts that means:

D > 0

b² - 4ac > 0

On comparing:

a = 3

b = 7

c = m

7² - 4(3)(m) > 0

49 - 12m > 0

12m < 49

m < 49/12

Or

m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts

Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

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Answer:

The answer is A and D.................................

Answer:

32 days

Step-by-step explanation:

Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

Answer:

2 1/2 per piece

Step-by-step explanation:

Answer: 90 U.S. dollars

If 60 U.S. dollars represwnt 50 euros, we will add.

80 euros represent 90 dollars because: there are 10 more euros than dollars.

Hope this helps!

Answer: 90

50:60 = 5:6

80:90 = +10

The mathematical expressions are given as

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

In the verbal sentence, the meaning of using of indicates the multiplication of numbers.

The mathematical expressions will be used as:-

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

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Answer:

1) slope is -1/3

2) slope is 3 or 3/1

3)slope is -3/2

4)slope is3/2

5)slope is 5/3

6)slope is 7/3

Step-by-step explanation:

Answer:

4+12+20=j

3+9+15=m

j(answer) + m(answer)

Step-by-step explanation:

Answer:

x-(-0.9)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0

Solve::10x+9 = 0

Subtract 9 from both sides of the equation::10x = -9

Divide both sides of the equation by 10::x = -9/10 = -0.900

Answer:

Step-by-step explanation:

3x+7x=9-18

10x = -9

x = -9 / 10

x = -0.9

Answer:

= -14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+4)=5x−2

(3)(2x)+(3)(4)=5x+−2(Distribute)

6x+12=5x+−2

6x+12=5x−2

Step 2: Subtract 5x from both sides.

6x+12−5x=5x−2−5x

x+12=−2

Step 3: Subtract 12 from both sides.

x+12−12=−2−12

x=−14

Answer:

x= 1.6 degrees

Step-by-step explanation:

to find the missing angle 180 degrees - 151 degrees

29° is the missing angle at the bottom ryt of the triangle.

all angles in triangle add upto 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x= 1.6°

A polygon with three edges and three vertices is called a triangle.

x=1.6° is its value.

Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.

The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.

To identify the omitted angle between 180 and 151 degrees

The triangle's bottom right corner lacks a 29° angle.

triangle's angles sum up to 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x =1.6 degree

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The mean of the data is 8.

Given data are,

                    [tex]8,7,5,9,6,13[/tex]

Mean is computed as divide the sum of all data by total number of data.

Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]

Number of data[tex]=6[/tex]

             [tex]Mean=\frac{48}{6}=8[/tex]

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Answer: Online

Step-by-step explanation:

Find the unit price

(multiply 12.51 and 20.70 by 100 to make it easier to divide)

12.51 divided by 3 = 417

20.70 divided by 5 = 414

Hope this helps!

Answer:

The  value  is [tex]E =19.6 [/tex]

Step-by-step explanation:

From the question we are told that

  The mean of Jo  cows is  [tex]\= x_1 = 1350[/tex]

  The standard deviation of Jo cow is  [tex]s_1 =  50[/tex]

  The mean of Val  cows is [tex]\= x_2  = 1420 [/tex]

   The standard deviation of Val  cows  is  [tex]s_2 =  50[/tex]

    The sample size for both Val  and  Jo  is  n = 25

Let assume that the level of significance is  [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Hence margin of error for Jo is  

=>   [tex]E = 1.96 *  \frac{50}{\sqrt{25} }[/tex]

=>   [tex]E =19.6 [/tex]

Answer:

3/4

Step-by-step explanation:

Answer:

the answer for this euqation is 23

Step-by-step explanation:

Answer:

or,v=14-9 ...v=5,so v=5

Answer:

b = 0

Step-by-step explanation:

Subtract 6 from both sides:

4b = 2 - b - 2

Subtract 2 from two, and get 0.

4b = -b

this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.

Answer:

I believe the answer is positive

Step-by-step explanation:

There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers

Answer:

Step-by-step explanation:

Simplify the terms first also what is the question asking what x is equal to? or just to simplify the terms~ if u answer this i can help more dm me maybe~!

Answer:

x = -8

Step-by-step explanation:

-x -6(x-5) = 86

Distribute

-x -6x +30 = 86

Combine like terms

-7x + 30 =86

Subtract 30 from both sides

-7x = 56

Divide by -7

x = -8

Answer:

[tex]x > 1[/tex]

x is greater than 1

Answer:a

Step-by-step explanation:

Answer:

C) 2 to 7

Step-by-step explanation:

1 part salt:7 parts water

Add 1 part salt

2 part salt: 7 Parts water

Answer:

Go to the botom of the page

Step-by-step explanation:

Answer:

The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.

mCHG  =  mHGB  =  48.81°

mDHG  =  mHGA  =  131.19°

The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.

mEHC  =  mBGF  =  131.19°

mEHD  =  mAGF  =  48.81°

Step-by-step explanation:

STRAIHGT FROM PLATO BOOOOIIIIII

Answer:

x times 8 I'm pretty sure

Answer:

x = 100º

y = 100º

Step-by-step explanation:

180º = 80º+y

180º-80º = 80º-80º+y

100º = y

x and y are equal so x is also 100º

Answer:

lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40

Step-by-step explanation:

Answer:

2.65329771×10 to the power of 40

Step-by-step explanation:

Use scientific notation to get the simplest answer