2
Which set of side lengths can form a triangle?
A
6 cm, 8 cm, and 16 cm
B
6 cm, 8 cm, and 10 cm
С
6 cm, 7 cm, and 14 cm
D
6 cm, 7 cm, and 20 cm

-5a²+13ab should be subtracted.

Based on the given conditions, formulate,

[tex]→- {a}^{2} - 4 {a}^{2} + 13ab[/tex]

[tex]→-({a}^{2} - 4 {a}^{2}) + 13ab[/tex]

Taking the coefficients or numbers, we get,

[tex]→(- 1 - 4) {a}^{2} + 13ab[/tex]

[tex]→ - 5 {a}^{2} + 13ab[/tex]

Given :

What should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b² ?

Solution :

Let the required expression to be subtracted be x

⇢ a² – 7ab + 3b² – x = – 4a² + 6ab + 3b²

⇢ a² – 7ab + 3b² – (– 4a² + 6ab + 3b²) = x

⇢ a² – 7ab + 3b² + 4a² – 6ab – 3b² = x

Combining the like terms :

⇢ a² + 4a² – 7ab – 6ab + 3b² – 3b² = x

⇢ 5a² – 13ab = x

⇢ x = 5a² – 13ab

Therefore,

5a² – 13ab should be subtracted from a² – 7ab + 3b² to get – 4a² + 6ab + 3b².

Answer:

Part A: 8.4 minutes per mile

Part B: 38 minutes

Explanation on Part B: (put it in your own context)

8.4 + 1.1 = 9.5 minutes per mile

As 9.5 * 4 = 38 minutes

Enjoy ;)

Answer:

Here is the answer......hope u understand...

Answer:

x=90

y=78

z=70

Now

or,90+78+70

or,238 answer.

Answer:

There are an infinite number of solutions.

Step-by-step explanation:

An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:

Let y= 3 ( y can be any number)

(3) + 1 = -4x

4 = -4x

x = -4/4

x= -1

(x;y) = (-1;3)

Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.

Answer:

x < 38 represents that there is less than 38 cubic meters of water in the pool.

Step-by-step explanation:

" < " sign represents less than.

" > " sign represents more than.

" ≥ " sign represents at least or more than.

" ≤ "sign represents at least or less than.

Answer:

B

Step-by-step explanation:

The sign < means less than

Given x is the volume of the pool

Therefore, x < 38 means the volume of the pool is less than 38 m³

For information, the statements written as inequalities would be

A: x > 38

B: x < 38

C: x ≥ 38

D: x ≤ 38

Answer:

Step-by-step explanation:

The radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = [tex]7\frac{5}{6}[/tex] inches

Therefore:

Radius of the circle = 1/2([tex]7\frac{5}{6}[/tex])

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= [tex]3\frac{11}{12}[/tex] inches.

Therefore, the radius of the circle expressed as a mixed number is:  [tex]3\frac{11}{12}[/tex] inches.

Learn more about radius of a circle on:

https://brainly.com/question/24375372

Answer:

24 feet

Step-by-step explanation:

a yard is 3 feet

8 yards is

8 × 3

24 feet

Answer:

B

Step-by-step explanation:

Using the method of cross- multiplication

[tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] ⇒ ad = bc

If ad ≠ bc then equation is not true

A

[tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex] , then

10 × 6 = 12 × 5 = 60 ← equation is true

B

[tex]\frac{69}{100}[/tex] = [tex]\frac{6}{10}[/tex] , then

69 × 10 = 690 and 100 × 6 = 600

690 ≠ 600 ← equation not true

C

[tex]\frac{10}{5}[/tex] = [tex]\frac{200}{100}[/tex] , then

10 × 100 = 5 × 200 = 1000 ← equation is true

D

[tex]\frac{12}{4}[/tex] = [tex]\frac{6}{2}[/tex] , then

12 × 2 = 4 × 6 = 24 ← equation is true

Hi!

I can help you with joy! :)

• Here, we need to determine if each equation is true by simplifying fractions.

• The 1st equation states that

10/12 = 5/6

Is it true?

Let’s simplify 10/12 to find out.

Divide 10 and 12 by 2:

5/6

Thus. The 1st equation is true.

How about the next one?

We have 3 options left.

69/100=6/10

Is that correct?

Nope!

Why?

If we simplify 69/100, we will not get 6/10.

In fact, 69/100 cannot be simplified.

Thus, the second equation is not true.

Now, how about Options C and D?

Well, both of these equations ARE true.

Thus, the second equation is not true.

Hope it helps.

Do ask if you have any query.

~Silent~

Answer:

vertex: -2,1

Step-by-step explanation:

You need to graph it.

Answer:

4 ( n + 2 )

[tex]4(n + 2)[/tex]

Answer:

y = [tex]\frac{4}{3} x + 2[/tex]

Answer:

Y=4/3x+2

Step-by-step explanation:

The slope is 4/3 because i counted 3 spaces to the right and 4 spaces up which is 4/3 and the starting point is 2 which is where it crosses on the y intercept hope this helps! :)

==================================================

Explanation using mental math:

He uses 11.5 cherries for his pie, which is half the amount left (after eating those 7 cherries).

This means 2*11.5 = 23 cherries were left over after he ate those seven. In other words, half of 23 is 11.5

If we reverse time, then we get those 7 cherries back to get 7+23 = 30 cherries total. Divide those up equally between the two bags and we get 30/2 = 15 cherries per bag.

Going forward in time we have 15 cherries per bag, so 2*15 = 30 total. He eats 7 to be left with 30-7 = 23 cherries. That cuts in half to 23/2 = 11.5 cherries for his pie.

---------------

Explanation using algebra

c = number of cherries in each bag.

10 < c < 30 based on the second sentence

2c = number of cherries total from both bags combined

2c-7 = the amount left after Chris eats those 7 cherries

(2c-7)/2 = he uses half of the remaining cherries for the pie

Set that equal to the 11.5 number stated and solve for c.

(2c-7)/2 = 11.5

2c-7 = 11.5*2

2c-7 = 23

2c = 23+7

2c = 30

c = 30/2

c = 15

We effectively follow similar steps as when we did the mental math route.

Notice how c = 15 makes 10 < c < 30 true.

Answer:

315 dm3

Step-by-step explanation:

[tex]V=\frac{lwh}{3} \\\V=\frac{9*7*15}{3} \\V=\frac{945}{3} \\V=315[/tex]

Answer:

y-intercept: -0.8

x-intercept: 1.333

Answer:

Take the values in the box:

IQTR = 16 - 7

= 9

The solution to the given system is (-30, 80)

The solution to the given system of the equation of line is the point where both lines intersect.

From the given diagram, we can see that the lines intersect at a coordinate point (x, y)

The location of these coordinate point on the xy-plane is (-30, 80). Hence the solution to the given system is (-30, 80)

Learn more eon system of equation here:https://brainly.com/question/14323743

Answer:

The answer is (30,90)

Step-by-step explanation:

the reason is because it says to round to the nearest tenth the numbers not rounded is 32.6 and 86.6

Angle 1 = 54.

Step-by-step explanation:

54+36= 90 or 90-36=54

Answer:

  x = 3

Step-by-step explanation:

The Pythagorean theorem tells you the sum of squares of the legs is equal to the square of the hypotenuse. In this geometry, a radius from the circle center to point T is length x, and is one leg of the right triangle.

  x^2 +4^2 = (x +2)^2

  x^2 +16 = x^2 +4x +4 . . . . . expand

  12 = 4x . . . . . . . . . . . . . subtract (x^2 +4)

  3 = x . . . . . . . divide by 4

The radius of the circle is 3 cm.

Answer:

ok so lets find the difference on the table

from 5 to 8 is goes up 250.5(668-417.5)

so that means 3 tickets goes 250.5 so lets divide by 3

250.5 divide by 3=83.5 per ticket

83.5*6=501

501

Hope This Helps!!!

Answer:

Equation : $83.50x = Cost of the tickets

(where x = number of tickets)

Cost of 6 tickets : $501

Step-by-step explanation:

I'm not sure if this is the way they want you to do it, but what I did is :

1) Solve a proportion to figure out the cost of 1 ticket

5/417.50 = 1/x

5x = 417.50(1)

5x/5 = 417.50/5

x = 83.50

So, the cost of 1 ticket is $83.50

2) Create an equation

If x equals the number of tickets :

83.50x = Cost of the tickets

3) Solve for 6 tickets

83.50(6) = Cost of the tickets

501 = Cost of the tickets

Substitute x for the number of tickets, which is 6 and you'll get $501 :)

Answer:

a    8 parts     b    8    3|4 =  3×2|4×2=b|8

Step-by-step explanation:

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}}\implies \cfrac{1+1}{-7}\implies -\cfrac{2}{7}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{2}{7}}(x-\stackrel{x_1}{4})\implies y+1=-\cfrac{2}{7}(x-4) \\\\\\ y+1=-\cfrac{2}{7}x+\cfrac{8}{7}\implies y=-\cfrac{2}{7}x+\cfrac{8}{7}-1\implies y=-\cfrac{2}{7}x+\cfrac{1}{7}[/tex]

Using sampling concepts, it is found that the sampled is biased because only parents who attend the school's musical show are surveyed, hence they are not very likely to support the decrease, and the population proportion should be greater than the one found in the show.

Samples may be classified as:

A sample has to take into account all aspects of the population, otherwise it is biased. In this problem, either people support the decrease, or they do not. Only people that went to the show were surveyed, that is, people who are unlikely to support the decrease, which generates bias, as the population proportion should be greater than the one found in the show.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Step-by-step explanation:

for x = 2

a = 500 × (3/5)²

for x = 4

b = 500 × (3/5)⁴ = 500×(3/5)²×(3/5)²

so,

a/b = (500 × (3/5)²) / (500 × (3/5)² × (3/5)²) =

= 1/(3/5)² = 1/(9/25) = 25/9 = 2.777777778...

Answer:

31

Step-by-step explanation:

210 ft ÷ 7 ft = 30

There are 30 7-ft lengths of fence.

Think of putting a post at the end of each 7-ft length. That means you need 30 posts. Now you must add 1 post for the beginning.

Answer: 31