When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q?
a. 19
b. 10
c. 5
d. -30

Answer:

C(0,6)

Step-by-step explanation:

1) find the length of the base of the triangle

AB = 7-3 = 4

2) find the the height of the triangle

A = (base x height)/2

A x 2 = base x height

height = (A x 2)/base

height = (12 x 2)/4 = 6

3) find the equation of the line that passes threw the points AB

the two points have the same y so the equation of the line is

y = 0

4) use the formula of the distance between a point and a line to find C

|ax+by+c|/√a^2 + b^2 = distance

x = 0  

y = 6

C (0,6)

Answer:

Step-by-step explanation:

area=16×8+1/2×3×6

=128+9

=137 sq. ft.

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

In this diagram, all of the acute angles are congruent. Those are angles 2, 4, 6, and 75°. Similarly, all of the obtuse angles are congruent. They are supplementary to the acute angles, so we have angles 1, 3, (x-15)°, and 5 all have measure 180° -75° = 105°.

This means x = 105° +15° = 120°.

The true statements are ...

  B. angle 2 = angle 6

  C. x = 120°

  D. angle 1 and angle 6 are supplementary

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

Answer:

141.37 m^2

Step-by-step explanation:

V = (pi)r^2h

V = (3.14)(3 m)^2(5 m)

V = 141.37 m^2

Answer:

-20/3 = -6.666

51/4 = 12.some

Odd integers between -6.66 to 12..

= -5,-3,-1,1,3,5,7,9,11

:)

The odd integers in between−20/3 and 51/4 are -5,-3,-1,1,3,5,7,9,11 so it is nine.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer ; ....-2 , -1 , 0 , 1 , 2 , .....

Integers are non-decimal numbers and all integers are rational numbers.

Given the two numbers,

−20/3 = -6.67

51/4 = 12.75

So integers in between −20/3 and 51/4 are ;

-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9,10,11,12

Now odd integers out of them are;

-5,-3,-1,1,3,5,7,9,11

Hence "The odd integers in between−20/3 and 51/4 are -5,-3,-1,1,3,5,7,9,11 so it is nine".

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Answer:

143

Step-by-step explanation:

Answer:

[tex](a)\ Mean = 80kg[/tex]

[tex](b)\ Median = 76kg[/tex]

[tex](c)\ Mode = 61kg[/tex]

Step-by-step explanation:

Given

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

[tex]n = 9[/tex]

Solving (a): The mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}[/tex]

[tex]\bar x = \frac{720kg}{9}[/tex]

[tex]\bar x = 80kg[/tex]

Hence:

[tex]Mean = 80kg[/tex]

Solving (b): The median

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

Arrange in ascending order

[tex]Data: 53kg ,55kg, 61kg ,61kg,76kg ,91kg ,98kg , 105kg,120kg[/tex]

[tex]n = 9[/tex]

So, the position of the median element is:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{9+1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The 5th element is 76kg

Hence:

[tex]Median = 76kg[/tex]

Solving (c): The mode

In the given data

[tex]Mode = 61kg[/tex]

Because it has a frequency of 2 (the highest), others have 1

Answer:

22.5

Step-by-step explanation:

13 square root 3 equals that

Answer:

okay

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

Answer:

29 beads

Step-by-step explanation:

Red beads: 10

Green beads: 10 - 5 = 5

Yellow beads: 10 + 4 = 14

Add, 10 + 5 + 14 = 29

Albert has 29 total beads

Have a wonderful day! :)

Answer:

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.

P = 20.6, I hope this helps you!!!!!

Using the sine rule, a/sin(A) = b/sin(B) = c/sin(C)

But we have to have at least two angles and two lengths to equate it to one another. We could find the third angle in this triangle to use as our second angle, but we do not know the value of x, so we have to find the second length.

To do that, we use Pythagoras theorem;

a^2 = b^2 + c^2

a^2 = 7^2 + 5^2

a^2 = 49 + 25

a^2 = 74

square root both sides to get rid of the square on a:

a = sqrt(74)

a ~ 8.60

Now we can apply our sine rule. Note that the lengths and angles are the ones opposite each other. For example, the corresponding angle of 8.60 is 90° and the one for 5 is x°.

So,

8.60/sin(90) = 5/sin(x)

8.60/1 = 5/sin(x), since sin(90) = 1

Make sin(x) the subject,

sin(x) = 5/8.60

sin(x) = 0.5814

x = sin^-1(0.5814)

x ~ 35.6°

Answer:

option A

A(-2,-3)

Step-by-step explanation:

make y subject of formula

x+2y=-8

2y=-8-x

y=(-8-x)/2

y=-4-x/2

when x=-2

y=-4-(-2)/2

=-4-(-1)

=-4+1

=-3

(-2,-3) is an ordered pair

Answer:

B. solid B

Step-by-step explanation:

solid a surface area: 150

solid b surface area: 184

Answer:

mmmmm

Step-by-step explanation:

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

Table A. not a function

Table B. is a function

Answer:

a graph. not a function

b graph.function

a table. not a function

b table. function

maaping a. function

mapping b. not a function

Step-by-step explanatio n:

mark me brainelst plz

Answer:

Pay your loan payments on time, every time.

Step-by-step explanation:

The other answers either hurt or have no effect on your credit score.

The option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

To get a good credit score, you should follow these steps:

Pay your loan payments on time, every time: Timely payments are one of the most crucial factors in building a good credit score. Consistently paying your bills and loans on or before the due date shows lenders that you are a responsible borrower.

Don't apply for credit excessively: Each time you apply for new credit, a hard inquiry is made on your credit report, which can temporarily lower your score. Applying for multiple credit accounts in a short period may signal financial instability to lenders.

Avoid options 1 and 4:

Paying credit card and loan payments late: Late payments negatively impact your credit score and show a lack of responsibility in managing credit.

Going above your credit limit: Maxing out your credit cards or going above the credit limit can harm your credit score as it indicates a higher risk of defaulting on your debts.

Hence, the option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

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Answer:

L' = 26cm

W' = 39cm

Step-by-step explanation:

a) Given the dimension of the shape;

length L = 10cm

Width W = 15cm

After dilating by a scale factor os 2.6

New length L' = 2.6(10) = 26cm

New width = W' = 2.6(15) = 39cm

Hence the length of each sides of the dilated image are 26cm and 39cm

b) The new image will be similar to the given image but of with the resulting length gotten in (a).

Answer:

Yes, because both diagonals bisect each other.

Step-by-step explanation:

correct on test

Answer:

yes

Step-by-step explanation:

Answer:

6000 milligrams

Step-by-step explanation:

trust

Answer:

A. 4- (-2)

Step-by-step explanation:

suerte!!!!!!!

Answer:

um what

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The scale on both the x and y axes has 1 unit divide into 4 parts.

Then 1 part is one quarter of 1 , that is 0.25 and 2 parts = 0.5

The point with coordinates (0.25, - 0.5 ) is point C