the sum of three consecutive integers is 261 , which equation could be used to find the integer .

Answer:

a = 26

a ~ 21.8

Read explanation

Step-by-step explanation:

There are two possibilities;

[tex]a^{2}+c^{2}=b^{2}[/tex]

Or

[tex]b^{2}+c^{2}=a^{2}[/tex]

This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.

1. [tex]a^{2}+c^{2}=b^{2}[/tex]

Substitute in the given values;

[tex]a^{2}+(10)^{2}=(24)^{2}[/tex]

[tex]a^{2}+100=576[/tex]

[tex]a^{2}=476[/tex]

a=[tex]\sqrt{476}[/tex]

a~21.8

2.[tex]b^{2}+c^{2}=a^{2}[/tex]

Substitute in the given values;

[tex](24)^{2}+(10)^{2}=a^{2}[/tex]

[tex]576+100=a^{2}[/tex]

[tex]676=a^{2}[/tex]

[tex]26=a[/tex]

This question is incomplete

Complete Question

Phrases can be used to represent the inequality 6.5x+ 1.5 ≤ 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. O The product of 6.5 and a number, when increased by 1.5, is below 21. The sum of 1.5 and the product of 6.5 and a number is at least 21.

Answer:

The product of 6.5 and a number, when increased by 1.5, is at most 21.

The product of 6.5 and a number, when increased by 1.5, is below 21.

Step-by-step explanation:

We are given the inequality is: 6.5x+ 1.5 ≤ 21

The sign ≤ is known as Less than or equal to.

≤ can also be said to be = at most

Therefore, the Phrases that represents the inequality

6.5x+ 1.5 ≤ 21 is:

* The product of 6.5 and a number, when increased by 1.5, is at most 21.

* The product of 6.5 and a number, when increased by 1.5, is below 21.

Answer:

b and c

Step-by-step explanation:

Step-by-step explanation:

Coefficient of 3x⁴ is positive (concave upwards)

Power of x⁴ is even (both ends go upwards)

Hence the answer is Up on the left, up on the right.

Answer:

all real numbers

Step-by-step explanation:

distribute the 2

2x+2=-8x+12+10x-10

combine like terms on each side

2x+2=2x+2

0=0

all real numbers

Answer:

[tex]\sqrt{12}[/tex] units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 2² = 4²

x² + 4 = 16 ( subtract 4 from both sides )

x² = 12 ( take the square root of both sides )

x = [tex]\sqrt{12}[/tex] units

which can be simplified to 2[tex]\sqrt{3}[/tex] units , if required.

9514 1404 393

Answer:

  -1.317

Step-by-step explanation:

  [tex]\log_5{15}=x+3 \qquad\text{given}\\\\ \dfrac{\log{15}}{\log{5}}=x+3 \qquad\text{change of base formula}\\\\x=\dfrac{\log{15}}{\log{5}}-3 \qquad\text{subtract 3}\\\\x\approx\dfrac{1.17609}{0.69897}-3\approx 1.683 -3\\\\ \boxed{x\approx -1.317}[/tex]

Answer:

-1.317

Step-by-step explanation:

Edge 2020

Answer: is 99x + 84 < 1,150

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

3 times 80 is 240 and 7 times 80 is 560. added together is 800. 800 is the total amount of people, so it works.

Answer:

Positive 4

Step-by-step explanation:

I believe this is the same as the problem above.

Factors for 8 => 1, 2, 4, 8

factors for 12 => 1, 2, 3, 4, 6, 12

the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.

Answer:

D. 23

Step-by-step explanation:

Absolute value Is the distance from zero a number is so -23 is 23 numbers away from zero

Answer:

15x

Step-by-step explanation:

Answer:

there is no graph.

Step-by-step explanation:

A decrease in the ratio 4:5 implies that :

New quantity:Old quantity = 4:5

Let the new quantity be [tex] \bf \: x[/tex]

[tex] \bf∴ x : 40 = 4:5[/tex]

[tex] = > \bf \frac{x}{40} = \frac{4}{5} [/tex]

[tex] \bf = > 40 \times \frac{x}{40} = 40 \times \frac{4}{5} [/tex]

[tex] \bf = > x = 8 \times 4[/tex]

[tex] \bf = > x = 32[/tex]

So, the new quantity is 32

Answer:

I need a picture of the table, chart, graph, etc. that they give you.

Answer:

5x + 20

Step-by-step explanation:

5(x +4)

= 5x + 20

multiply x + 4 by 5

Answer:

1,5,9,13,17,21,25,29

Step-by-step explanation:

From the information given.

Let represent the number of white beads with x and the number of blue beads with y. So, the beads can be illustrated as:

bead   color

1             x

2            y

3            y

4            y

5            x

6            y

7            y

8            y

Suppose n denotes the no. of beads that are white.

Then the subsequent no is ( n + 4).

Since the first number n = 1

Then the subsequent numbers will follow the pattern of adding 4 to the number.

i.e.

n = 1 + 4 = 5

n = 5 + 4 = 9

n = 9 + 4 = 13

n = 13 + 4 =1 7

n = 17 + 4 = 21

n = 21 + 4 = 25

n = 25 + 4 = 29

Thus, the number for the first eight beads that are white are:

1,5,9,13,17,21,25,29

The pattern shows odd numbers only.

Answer:

[tex]6[/tex], [tex]8[/tex] and [tex]10[/tex]

Step-by-step explanation:

Let [tex]x =[/tex] smallest consecutive even integer.

Since the second and third consecutive even integers can be expressed by our smallest even consecutive integer, we can express them as:

Second consecutive even integer = [tex]x+2[/tex]

Third consecutive even integer = [tex]x+4[/tex]

From "the sum of the second and third is 3 times the first integer", we can write:

[tex]x+2+x+4 = 3x[/tex]

[tex]2x+6 = 3x[/tex] (collect like-terms)

[tex]x=6[/tex]

∴ The first consecutive even integer is 6

Now, we can use substitution to find the values of the second and third consecutive even integers:

Second consecutive integer = [tex]x+2[/tex]

[tex]=6+2[/tex]

[tex]=8[/tex]

Third consecutive integer = [tex]x+4[/tex]

[tex]=6+4[/tex]

[tex]=10[/tex]

∴ The three consecutive even integers are [tex]6[/tex], [tex]8[/tex] and [tex]10[/tex].

Hope this helps :)

Answer:

x²+8x

Step-by-step explanation:

area of rectangle

l×w

(x+8)×x

x²+8x

The area of the rectangle is [tex]X^2 + 8X[/tex].

To find the area of a rectangle, we multiply its length by its width.

In this case, the length is (X + 8)

and the width is X.

so, we have,

Area = Length * Width

Area = (X + 8) * X

To simplify the expression, we need to distribute the X through the parentheses:

Area = X * X + 8 * X

Area = [tex]X^2 + 8X[/tex]

So, the area of the rectangle is [tex]X^2 + 8X[/tex].

To learn more on Area click:

brainly.com/question/20693059

#SPJ4

Answer:

साहस को सलाम पाठ/अरुणिमा सिन्हा कहां बैठी थी

Step-by-step explanation:

I hope you understand

Answer:

ok. What’s the problems?

Step-by-step explanation:

Answer:

(-4,-5) (-3,-3)

Step-by-step explanation:

[tex](-4,-5),(-3,-3)[/tex]

Given equation is [tex]y=2x+3[/tex]

Put [tex](x,y)=(-4,-5)[/tex]

[tex]-5=2(-4)+3\\-5=-5[/tex]

Put [tex](x,y)=(-3,-3)[/tex]

[tex]-3=2(-3)+3\\-3=-3[/tex]

Put [tex](x,y)=(-1,0)[/tex]

[tex]0=2(-1)+3\\0\neq 1[/tex]

Put [tex](x,y)=(-1,-4)[/tex]

[tex]-4=2(-1)+3\\-4\neq 1[/tex]

So, [tex]\boldsymbol{(-4,-5),(-3,-3)}[/tex] lie on the graph [tex]y=2x+3[/tex]

Find out more information about the graph:

https://brainly.com/question/14375099?referrer=searchResults

Answer:

9

Step-by-step explanation:

18/2=9

8/3

also use math_way its helpful

without the "_"

Step-by-step explanation:

Answer:

D- 4/3

I already knew the answer, but I found this explanation on another website..

x^3=64/27

x = 3√(64/27)

x= 4/3

Have a nice day :D

Also, may I have Brainliest if someone else answers??

Answer:

The answer is 15

Step-by-step explanation:

125/5=25

25-10=15

An= 5[15+10]=125

How does 6 relate to 12?, this is 6×2=12 this makes that 4×2=x. (8) (x=8)

Answer

8

Step-by-step explanation:

6/4 times 12/x. cross mutliply to get 8

Given :

An equation 2cot x = -3sec x .

To Find :

the values of x in [0, 360°) which satisfy the given equation.

Solution :

Converting cot x and sec x in the form of sin x and cos x.

[tex]\dfrac{2cos \ x}{sin\ x}= \dfrac{-3}{cosx}\\\\2cos^2 x +3 sin\ x =0\\\\2( 1 - sin^2 x ) + 3sin \ x = 0 \\\\2sin^2 x -3sin\ x -2 = 0\\\\2sin^2\x -4sin\ x + sin\ x -2 = 0\\\\2sin\ x( sin\ x - 2 )+ 1( sin \ x - 2 ) = 0\\\\sin \ x = \dfrac{-1}{2} \ or\ sin \ x = 2[/tex]

Neglecting sin x = 2 because sin x cannot be greater than 1.

x = π - π/6, π + π/6

x = 5π/6 and x = 7π /6

Therefore, the values of x in [0,360°) is  5π/6 and x = 7π /6 .