Which of the following list of side lengths could form a triangle?

a. 10, 12, and 25

b. 5, 6, and 12

c. 2, 2, and 4

d. 4, 5, and 6

Answer:

Step-by-step explanation:

The shape is made up of a semicircle and a right angled triangle.

Perimeter of the shape = perimeter of a semicircle + perimeter of the right angle triangle.

Since perimeter of a circle = 2πr

Perimeter of a semicircle = 2πr/2 = πr wherr r is the radius

r = 10in/2 = 5in

Perimeter of the semicircle = 5π in

Perimeter of a triangle = s1+s2+s3 where s1, s2 and s3 are the sides of the triangle.

We only have 2 sdies of the triangle, hence we need to get the third side using pythagoras theorem.

let s1 = 10in, s2 = 6in

10² = 6²+s3²

s3 = √10²-6²

s3 = √100-36

s3 = √64

s3 = 8in

Perimeter of the triangle = 10in+6in+8in = 24in

Perimeter of the shape = (24in + 5π in) - 10in (10 in was subtracted since it is common to both shapes)

Perimeter of the shape = (14+5π )inches

Answer: y = -2/5x -4

Step-by-step explanation:

First we can notice that the line is not going through the origin but is is going through the y-intercept which is -4.In this case the the equation of the line has be in slope intercept form as if  y=mx +b where only m and b is indicated and  m is the slope and b is the y intercept. So since we already know the y intercept is -4 we need to find the slope using  the points on the line.

The points (0,-4) and ( -5,-2)   lies on the line and we could use them to find the slope. To find the slope,we need to find the change in the y coordinates and divide it by the change in the x coordinates.

-4 -(-2) =  -2

0 - (-5) = 5      

slope:  -2/5

So since the slope is -2/5 and the y intercept is -4 then we will have the equation,

y= -2/5x - 4

Answer:

x=5

Step-by-step explanation:

We can write ratios to help us solve

4x            12 +3

---------- = ------------

3x+1                 12

Using cross products

4x*12 = (3x+1) * (15)

48x = 45x +15

Subtract 45x from each side

3x =15

Divide by 3

3x/3 =15/3

x=5

Answer:

The absolute value for x = 1/6

Step-by-step explanation:

Leave |x + 3| alone

2/3|x + 3| = 11/6 + 1/2 ➡ 2/3|x + 3| = 14/6

|x + 3| = 14/6 ÷ 2/3 ➡ |x + 3| = 7/2 now we write two equations

x + 3 = 7/2 or x + 3 = -7/2 first we subtract 3 from all

x = 1/6 or x = -13/6 since we are asked to find the absolute value, the answer would be 1/6

Answer:

4.0

Step-by-step explanation:

Look at the decimal place next to the tenths place. It has a 2 in its place. The rule for rounding is that any number 4 or lower is rounded down. Any number 5 or above is rounded up. The number is 2, which is below 4, so we round down. The tenths place would stay the same because it can't get any smaller. Therefore, 4.028 is rounded down to 4.0

Answer:

The length of the curtain is 10.625 feet

Step-by-step explanation:

The length of the curtain to cover one side of the room depends on the shape of the room

Given a room shape of a square, we have;

Perimeter = 4 × Side length of the room

Length of the curtain = Side length of the room

Therefore;

Perimeter = 4 × Length of the curtain

42.5 feet = 4 × Length of the curtain

Length of the curtain = (42.5 feet)/4 = 10.625 feet

The length of the curtain = 10.625 feet.

Answer:

-6

Step-by-step explanation:

Hello!

Since we are finding f(-1) we put -1 in for x

2(-1)^2 + 8(-1)

Follow PEMDAS

2 * 1 + 8(-1)

2 * 1 + -8

2 + -8 = -6

The answer is -6

Hope this helps!

Answer:

[tex]4x - 13[/tex]

Step-by-step explanation:

Given

Represent the number with x

Required

Translate the statements to expression

First, we need to get triple of x:

[tex]Triple\ of\ x= 3 * x[/tex]

[tex]Triple\ of\ x= 3 x[/tex]

Next is to get the difference between 3x and 13

This is represented as [tex]3x - 13[/tex]

Lastly, Add x to the above:

[tex]x + 3x - 13[/tex]

[tex]4x - 13[/tex]

Hence, the variable expression is 4x - 13

Answer:

3x+5=23

Step-by-step explanation:

Answer:

D. 3x+5=23

Step-by-step explanation:

Answer:

-100

Step-by-step explanation:

The opposite of any positive number is the same number but negative.

Answer: [tex]x=-3[/tex]

Simplify both sides of the equation

[tex]1+-2x=-1+8+8x+-8x[/tex]

[tex]-2x+1=(8x+-8x)+(-1+8)[/tex] (Combine Like Terms)

[tex]-2x+1=7[/tex]

Subtract 1 from both sides

[tex]-2x+1-1=7-1\\-2x=6[/tex]

Divide both sides by -2

[tex]-2x/-2=6/-2\\x=-3[/tex]

Answer:

[tex]\Huge \boxed{x=-3}[/tex]

Step-by-step explanation:

[tex]1-2x= -1+8+8x-8x[/tex]

Combining like terms.

[tex]1-2x= 7[/tex]

Subtracting 1 from both sides.

[tex]-2x= 7-1[/tex]

[tex]-2x=6[/tex]

Dividing both sides by -2.

[tex]x=-3[/tex]

Answer:

[tex]56m^2[/tex]

Step-by-step explanation:

Step 1: Area of Parallelogram Formula

A=bxh

Step 2: Plug in the information and solve

A=7mx8m

A=[tex]56m^2[/tex]

Therefore the area of the parallelogram is [tex]56m^2[/tex]

Answer:

56 Meters Squared

Step-by-step explanation:

Area of a Parallelogram is: [tex]A=b*h[/tex]

We are given the base of 7 meters and the height of 8 meters.

[tex]A=7*8\\\\A=\boxed{56}[/tex]

The area of the parallelogram is 56 square meters.  

Answer:

-b+or-

[tex] - b - + \sqrt{a {}^{2} - 4ac } \div 2a[/tex]

Nearly x=-1.416

Or x=-0.416

Answer:

x=-1/3 or x = -3/2

Step-by-step explanation:

6x²+11x+3=0

divide through by 6

x² +11x/6 + 3/6 =0

collect like terms that is those with x should be left on one side nd the one without x should be on the other side

x² +11x/6 = -1/2

add the square of the half of the co efficient of B i.e 11x/6 to both sides

(x+11/12)² = 121/144 -1/2

(x+11/12)² = 121-72/144

square root of both sides

x+11/12 =+or - √49/144

x= -11/12 ± 7/12

x= -1/3 or x= -3/2

Answer:

5

Step-by-step explanation:

17x = 85

17x/17 = 85/17

x = 5

Answer:

All of those numbers are rational

An object of large mass is pulled down into the surface with a greater force than an object of low mass and as a consequence , there is greater friction between the surface of heavy objects than between the surface and the light object

Answer:

( x+6)(x+8)

Step-by-step explanation:

x^2 + 14x + 48

What 2 numbers multiply to 48 and add to 14

6*8 = 48

6+8 = 14

( x+6)(x+8)

x² + 14x + 48 [ Given ]

By split middle term ,we get:

=> x² + 8x + 6x + 48

=> x ( x + 8 ) + 6 ( x + 8 )

=> ( x + 6 ) ( x + 8 )

9668

Explanation:

18 ones, 18x1=18

15 hundreds, 15x100 =1500

15 tens, 15x10=150

8 thousands,8x1000=8000

8x1000=800018+1500+150+8000=9668

Hope this answer correct :)

Answer:

25) true

for example if x is -3 then x^2 will be +9

26) false

for example -3×-3×3 can give you positive answer 27

27) true

because any number when multiplied with 0 will only give you 0 answer

Step-by-step explanation:

Step-by-step explanation:

Perfect squares = 1, 4,9

Probability = 3/ 10

Answer:

A= (-5, -4)

B = (-3, 3)

x1 = -5 , x2 = -3

y1 = -4 , y2 = 3

[tex]midpoint = ( \frac{x1 + x2}{2} \: \: \frac{y1 + y2}{2} )[/tex]

[tex] = (\frac{ - 5 - 3}{2} \: \: \frac{ - 4 + 3}{2} )[/tex]

= (-4, -0.5)

Answer:

Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

Answer:

It models exponential growth.

Step-by-step explanation:

7/4 > 1, so f(x) grows at an exponential rate as x increases.

A graph of f(x) is attached below, showing the exponential growth.

Answer:

Numerical expression

Answer:

x times 1.55

Step-by-step explanation:

3.5 times 1.55 = 5.325

Answer:

5.325

Step-by-step explanation:

Answer:

[tex]\bold{\sqrt{75}}[/tex]

Step-by-step explanation:

Given

A [tex]\triangle GHJ[/tex] in which

[tex]\angle GHJ = 90^\circ[/tex]

Hypotenuse = 10

Length of another side = 5

To find:

HJ = ?

Solution:

Kindly refer to the image attached in the answer area.

We know that there are only 3 sides in a triangle.

We are given hypotenuse is 10.

i.e. GJ = 10

To find HJ, Base = ?

So, we are given the side length of GH, perpendicular i.e. 5.

Kindly refer to attached image for further details.

Let us use Pythagorean theorem here.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow GJ^{2} = GH^{2} + HJ^{2}\\\Rightarrow 10^2=5^2+HJ^2\\\Rightarrow HJ = \sqrt{100-25}\\\Rightarrow \bold{HJ = \sqrt{75}}[/tex]

Answer:

hJ = B     5 route 3

Step-by-step explanation:

got it right on edg 2020-2021

Answer:

(x-12)/5

Step-by-step explanation:

Answer:

f⁻¹(x) = (x - 12)/5

Step-by-step explanation:

To find the inverse of f(x), you have to switch the places of the x and y.  You then have to rearrange the equation so that it is equal to y.

f(x) = 5x + 12

x = 5y + 12

x - 12 = (5y + 12) - 12

x - 12 = 5y

(x - 12)/5 = 5y/5

(x - 12)/5 = y

f⁻¹(x) = (x - 12)/5

Answer:

28 centimeters

Step-by-step explanation:

The level of the pond is dropping each day by 4 cm.  7 days passed, and each day it was dropping at a constant rate.  In order tto find how many centimeters the level of the pond dropped in 7 days, you have to multiply the days passed by the amount dropped each day.

So, 7 days times 4 cm. a day= 28 centimeters dropped.

Answer:

The 1st error that Carlos made was in Step 2...

In step 2 , Carlos multiplied 14 only with 40. If he would have multiplied 14 with both 40 & 9 , then it could have been alright.....

Answer:

This problem requires you to plug in the values to get an answer.

f(2)=1

f(-6)= 65

Step-by-step explanation:

You need to plug in each value in the equation.

[tex]f(2) = 2^{2} - 4(2) + 5[/tex]

[tex]f(2) = 4 - 8 + 5[/tex]

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

[tex]f(2) = 1[/tex]

For f(-6):

[tex]f( - 6) = ( - 6)^{2} - 4( - 6) + 5[/tex]

[tex]f( - 6) = 36 + 24 + 5[/tex]

[tex]f( - 6) = 65[/tex]