Choose the inequality that represents the following graph.

Answer:

2√13

Step-by-step explanation:

B(1,4) T(4,6)  what is BD

find BT

d=√(x2-x1)²+(y2-y1)²

d=√(4-1)²+(6-4)²

d=√3²+2²

d=√9+4

d=√13 this is haf the distance

BD=2d=2√13

A line segment is also a line but a line with finite length and fixed endpoints. The length of BD is 2√13 units.

The distance or length of any line on the graph,

d = √[(x₂- x₁)² + (y₂- y₁)²]

where,

d = distance/length of the line between points 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

Given the coordinate of B and T as (1,4) and (4,6), respectively. Therefore, the length of BT can be written as,

Length of BT = √[(x₂- x₁)² + (y₂- y₁)²]

                      = √[(4 - 1)² + (6 - 4)²]

                      = √[(3)² + (2)²]

                      = √(9 + 4)

                      = √13

Now, we can write the length of BD as the sum of BT and TD,

BD = BT + TD

Since T is the midpoint of BD, therefore, it will divide it into two equal parts, therefore, we can write,

BD = BT + BT

BD = 2(BT)

BD = 2√13

Hence, the length of BD is 2√13 units.

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Answer:

The walk to the park took the longest amount of time

Step-by-step explanation:

In this question, we want to find the location that took Donovan the longest amount of time to work.

We should recall that an hour is 60 minutes

So time spent walking to the mailbox would be 2/15 * 60 = 8 minutes

Time spent walking to the library would be 1/6 * 60 = 10 minutes

Time spent walking to the park = 2/10 * 60 = 12 minutes

So as we can see, the distance taking the longest amount of time to walk is the Park which took a total of 12 minutes

Answer:

The length of the blue ribbon is approximately 8.333 inches

Step-by-step explanation:

The given information are as follows;

The given length of the red ribbon = 2 1/12 inches

The length of the blue ribbon is given as 4 × The length of the red ribbon

Therefore;

The length of the blue ribbon = 4 × 2 1/12 inches = 25/3 inches = 8 1/3 inches

The length of the blue ribbon = 8 1/3 inches ≈ 8.333 inches.

Answer:

8 1/3 inches

Step-by-step explanation:

Answer:

She was initially at a depth of 24.7 feet before she rose

Step-by-step explanation:

To get her initial depth, we need to understand how many feet she sank and rose.

Let us say she was initially at a depth which we can call  = x feet.

After 10 minutes she rose for 24.2 feet.

This means her new depth will be x - 24.2 ft.

We are also told that this new depth is actually 0.5 feet below sea level.

This means

x - 24.2 = 0.5

Now that we have this equation we can simply make x the subject of the formula and solve for x

x = 24.2 + 0.5 = 24.7

She was initially at a depth of 24.7 feet before she rose

Answer:

24.7

Step-by-step explanation:

Add 24.2 and 0.5

Answer:

B

Step-by-step explanation:

So we have the expression:

[tex]15+50[/tex]

Since 5 goes into both 15 and 50, we can factor out a 5. First, rewrite the numbers as:

[tex]5(3)+5(10)[/tex]

Factor out the 5:

[tex]=5(3+10)[/tex]

So, our answer is B

And we're done!

Answer:

-5

Step-by-step explanation:

You divide 80 by -16

Answer:

3

Step-by-step explanation:

Evaluate x/4 + 6 (x - 12) where x = 12:

x/4 + 6 (x - 12) = 12/4 + 6 (12 - 12)

Hint: | Reduce 12/4 to lowest terms. Start by finding the GCD of 12 and 4.

The gcd of 12 and 4 is 4, so 12/4 = (4×3)/(4×1) = 4/4×3 = 3:

3 + 6 (12 - 12)

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

6×0 + 3

Hint: | Any number times zero is zero.

0×6 = 0:

0 + 3

Hint: | Simplify the expression.

Write 3 + 0 as 3:

Answer: 3

The answer is three.

Explanation:

Answer:

[tex]6m^{2} - 5mn - 6n^{2}[/tex]

Step-by-step explanation:

I hope this helps you :)

Answer:

x=4

Step-by-step explanation:

y=1/2x+3....equation 1

y=5....equation 2

Sub equation 2 in 1:-

5=1/2x+3

2=1/2x

x=4

Step-by-step explanation:

Hey there!

Firstly we need to find an equation of the line passing through point (-2,-2).

Now,

The equation of a st.line passing through point (-2,-2) is,

[tex](y - y1) = m1(x - x1)[/tex]

Now, putting the values,

[tex](y + 2) = m1(x + 2)[/tex]

It is first equation.

Now, another equation is,

y= 2x+3

Comparing, the equation with y = mx+c.

slope (m2)= 2

As per the condition of parallel lines,

m1=m2= 2

Putting, the values of m1 in equation (i)

(y+2)= 2(x+2)

y= 2x+2....is the equation.

Therefore, Jill's equation is correct answer.

Hope it helps...

Answer:

C

Step-by-step explanation:

(xy^3z^4)^4 =

(x)^4 = x^4

(y^3)^4 = y^12

(z^4)^4 = z^16

Therefore the answer is C. x^4 y^12 z^16

Answer:

The maximum height that the football reached = 5.4 yards (16.2 feet)

Step-by-step explanation:

The initial location of the ball = 15 yard line

The final location of the ball = 35 yard line

The equation of the ball's motion can be modeled as follows;

y = -0.054·(x - h)·(x - k)

Where;

h and k are the x-intercepts which are the points where the ball lands or where the ball is in contact with the ground

Given that the kicker kicks the ball from the ground on the 15 yard line and the ball lands on the ground at the 35 yard line, we can write

h = 15 yard line

k = 35 yard line

Therefore;

y = -0.054·(x - 15)·(x - 35) = -0.054·x² + 2.7·x-28.35

The maximum height is found by differentiating the function with respect to x and equating the result to 0 as follows;

d(-0.054·x² + 2.7·x-28.35)/dx = 2.7 - 0.108·x = 0

x = 2.7/0.108 = 25

Therefor, at the maximum point, we have;

x = 25

∴ y = -0.054·(25 - 15)·(25 - 35) = -0.054×10×(-10) = 5.4

The maximum height that the football reached = 5.4 yards = 16.2 feet.

Answer:

x=16°

y=25°

Step-by-step explanation:

7x=112

x=112/7

x=16

90+y=115

y=115-90

y=25

Answer:

16

Step-by-step explanation:

Steps to solve:

-2x = 38

~Divide -2 to both sides

x = -19

Since this equation is solvable, it is a literal equation

Best of Luck!

Answer:

$3.039

Step-by-step explanation:

Step 1

They bought 2 pounds of paper hearts at $ 3.42 per pound

1 pound = $3.42

2 pounds =

2 × $3.42

= $6.84

2 pounds of sparkling stars for $ 3.93 per pound

1 pound of sparking stars = $3.93

2 pounds =

$3.93 × 2

= $7.86

5 pounds of shiny coils for $ 2.53 per pound.

1 pounds of shiny coils = $2.53

5 pounds =

5 × $2.53

= $12.65

Step 2

We find the total cost of the materials

Total cost of Materials that make up the confetti = Cost of paper heart + Cost of sparkling stars + Cost of shiny coils.

= $6.84 + $7.86 + $12.65

= $27.35

Step 3

Total pounds of materials bought = 2 pounds + 2 pounds + 5 pounds

= 9 pounds

Step 4

The cost per pound of confetti = Total cost of the materials bought/ Total pounds of materials

= $27.35/9

= $3.0388888889

Approximately ≈ $3.039

The cost per pound of the confetti = $3.039

The cost per pound of the confetti is  $3.04

Given that, they bought 2 pounds of paper hearts at $ 3.42 per pound.

The cost of 2 pounds of paper hearts is, [tex]=2 *3.42=6.84[/tex]

the 2 pounds of sparkling stars for $ 3.93 per pound

The cost of 2 pounds of sparkling stars is, [tex]=$3.93 * 2=7.86[/tex]

the 5 pounds of shiny coils for $ 2.53 per pound.

The cost of 5 pounds of  shiny coils is, [tex]=5 * $2.53=12.65[/tex]

Total cost of confetti is,

                         [tex]= $6.84 + $7.86 + $12.65=27.35[/tex]

Total pounds of materials bought ,

                          [tex]=2+2+5=9pounds[/tex]

The cost per pound of confetti is,

                         [tex]=\frac{27.35}{9}=3.04[/tex]

The cost per pound of the confetti  is $3.039

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Answer:

y = 3

Step-by-step explanation:

[tex]10-2y+4+4y+20[/tex]

Combine like terms

[tex]2y+14=20[/tex]

Move all terms not containing  y  to the right side of the equation.

[tex]2y=6[/tex]

Divide both sides by 2

y = 3

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It's ok if u don't...lol

I hope this helped!!

Answer:

A,B,C: The real number is on the number line, but the complex number is in the complex plane.

Both are distances.

Both are positive values.

Step-by-step explanation:

took the test

Answer:

1, 2, and 3

Step-by-step explanation:

Answer:

31 over -3

Step-by-step explanation:

4.7+1.6=6.3x 5 =31.5-.5=31

Answer: 28

Step-by-step explanation:

Answer:

exponential functions.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the quadratic formula x = -b±√b²-4ac/2a, the expression b²-4ac inside the square root is called the discriminant. The discriminant is the function that determines the nature of the roots of the equation even without the constant a, b and c

If b²-4ac > 0, the roots of the equation will be real and distinct

If b²-4ac < 0 the roots of the equation will be complex number

If b²-4ac = 0 the roots of the equation will be real and the same

Answer:

[tex]x^3[/tex]

Step-by-step explanation:

To find the greatest common factor of a set of numbers, we need to find the greatest number, that when it's used as a divisor for all the numbers, returns an integer value.

We have the numbers [tex]x^3, x^6,[/tex] and [tex]x^9[/tex].

Exponent rules tell us that [tex]a^b \div a^c = a^{b-c}[/tex].

This means that each of these values must be raised to the power of three. Therefore, each of them can be divided by [tex]x^3[/tex].

[tex]x^3 \div x^3 = 1[/tex]

[tex]x^6 \div x^3 = x^3[/tex]

[tex]x^9 \div x^3 = x^6[/tex]

So [tex]x^3[/tex] is the GCF.

Hope this helped!

Answer:

1 is 5+2a =7 and 2is 14+3a=3 and 3 is 7-2a=5

Answer:

1. 2x+5=7

2. 3x+14=2

3. 2x-7=5

4. 4x+2=-10

6. 3x-8=-14

6. (x/2)+3=7

7. 4x+2=14

8. (x/3)-8=5

9. 2x-3=11

10. 3x+7=25

Answer:

p=22x-17-15x+12-3x-5

4x-10

Step-by-step explanation:

hope it is helpful for you if it is follow me

Answer:

The sum of 5 times a number x and 8

Step-by-step explanation:

It could also be written as:

The sum of the product of 5 and a number x and 8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 2x + 28}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 4(7 - x)}[/tex]

Distribute 4 through the parentheses

[tex] \dashrightarrow{ \sf{2x + 28 - 4x}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{2x - 4x + 28}}[/tex]

[tex] \dashrightarrow{ \sf{ - 2x + 28}}[/tex]

Hope I helped!

Best regards! :D

Answer:

V= -8/29

Step-by-step explanation

-3(-9v-4), -3 makes -9 and -4 positive cause neg times neg equals a positive

same goes for -2(v-2) so your new equation is 27v+12-2v+4

minus 12 from both sides which gives you -8 and add 2v on both sides which gives you 29v and you divided the two new numbers and you get -8/29

Answer:

Probability of choosing 9 of spades = 1/52

Answer:

D. No. When the discriminant is less than zero, there are no real solutions.

Step-by-step explanation:

We have to notice that quadratic equations are second order polynomials whose standard form is:

[tex]y = a\cdot x^{2}+b\cdot x + c \cdot x[/tex], [tex]\forall \,a,b,c\,\in\,\mathbb{R}[/tex]

The factorized form of this polynomial is:

[tex]y = (x-r_{1})\cdot (x-r_{2})[/tex]

Where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the roots of the quadratic equation, which may be real or complex.

If we equalize [tex]y[/tex] to zero and make algebraic handling, we can get the value of each root anatically by the Quadratic Formula:

[tex]r_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a \cdot c}}{2\cdot a}[/tex]

Where [tex]b^{2}-4\cdot a\cdot c[/tex] is known as the discriminant. Then, we should remember the following rules:

i) If discriminant is greater than zero, then the quadratic equation has two different real roots.

ii) If discriminant is zero, then the quadratic equation has two equal real roots.

iii) If discriminant is less than zero, then the quadratic function has two complex roots.

In consequence, we came to the conclusion that statement is false, as quadratic equation have all roots real or all complex, but not one real and the other complex.

In a nutshell, the correct answer is D.