graph the following: y = -4x – 1.

• Height of the equilateral triangle = 5/3 cm .

• The area of the triangle .

• First find side :

As we know that:

• Height = √3/2 (side)

=> 5/3= √3/2 (side)

=> side = 10/3√3 cm

• Area of equilateral triangle = √3/4 (side)².

=> Area = √3/4(10/3√3)²

=> Area = √3/4(100/27)

=> Area = 25√3/27

=> Area = 43.30/27

=> Area = 1.60 cm².

Hence, the area of equilateral triangle is 1.60cm²

I hope it will help you.

Regards.

Answer:

25.5 and 1.5

Step-by-step explanation:

AC = 12 cm

BC = 13.5 cm

12 + 13.5 = 25.5 cm

13.5 - 12 = 1.5 cm

The possible length of segment AC is 25.5 cm and 1.5 cm.

A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

For the given situation,

The points A, B, and C lie on a line.

Length AB = 12 cm

BC = 13.5 cm

The possible length of segment AC can be found by adding and subtracting the lengths of AB and BC.

a) Length of AC = [tex]13.5+12[/tex]

⇒ [tex]25.5[/tex] cm

b)  Length of AC = [tex]13.5-12[/tex]

⇒ [tex]1.5[/tex] cm

Hence we can conclude that the possible length of segment AC is 25.5 cm and 1.5 cm.

Learn more about line segment here

https://brainly.com/question/25727583

#SPJ2

Answer:

I'd say 1/2 a gallon

Step-by-step explanation:

Answer:

Small pizzas = 21

Large pizzas = 39

Step-by-step explanation:

The number of small pizzas sold be x

So, the number of large pizzas sold be 2x - 3

And the total value is $640.504

Now the equation would be

$14.50x + $9 × (2x - 3) = $640.50

$14.50x + 18x - $27 = $640.50

$32.50 = $640.50 + $27

$32.50x = $667.50

x = 21

Now the large pizzas is

= 2 × 21 - 3

= 39

The same is to be considered

9514 1404 393

Answer:

  5/3

Step-by-step explanation:

You can divide fractions a couple of ways:

1. Invert the denominator and multiply

  [tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{7}{11}\times\dfrac{55}{21}=\dfrac{55\cdot7}{11\cdot21}=\boxed{\dfrac{5}{3}}[/tex]

2. Make both fractions have the same denominator and use the ratio of their numerators

  [tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{35}{55}\div\dfrac{21}{55}=\dfrac{35}{21}=\boxed{\dfrac{5}{3}}[/tex]

Answer:

4-(2x+5) = 1/2(-4x-2)

4-2x-5=-2x-1

-1-2x-=-2x-1

Infinite solution

Step-by-step explanation:

Branliest pls

Answer:

The slope of the line given by the linear equation is

✔ -2

.

The slope of the line shown in the graph is

✔ -1

.

Step-by-step explanation:

thank you to the person above me !

The slope of the equation is -2 and -1.

The slope of a line is a measure of its steepness.

Given:

equation of line is

y= -2x +7

So, the slope of the line given by the linear equation is -2

and, (0, 6) and (6, 0)

m= 0-6/ 6-0

m= -6/6

m= -1

So, the slope of the line shown in the graph is -1.

Learn more about slope of equation here:

https://brainly.com/question/13496015

#SPJ2

Answer:

Step-by-step explanation:

0.416<0.42

because minimum value of 0.42=0.420

and 0.416<0.420

Answer:

1.108

2.4

3.6

4.28

5.80

6. 10.5

hope this will help you

Answer:

Option (4)

Step-by-step explanation:

Parent function of the graph attached,

f(x) = [tex]\sqrt{x}[/tex]

If the given function is shifted by 'a' units to the left,

Rule for the transformation is,

g(x) = f(x + a)

So the transformed function will be in the form of g(x) = [tex]\sqrt{x+a}[/tex]

Therefore, from the given options, f(x) = [tex]\sqrt{x+4}[/tex] will match our requirements.

Option (4) will be the answer.

Answer:

D

Step-by-step explanation:

Answer: x = 60/11

Step-by-step explanation:

-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5

Multiply the 1/2 with -10x, and -10.

Let's look on the side that we are working on now.

New equation:

- 1 + 4 (6x + 3) = -5x - 5 - 5

-5-5= -10

-1+4(6x+3)=-10-5x

Next we remove the brackets.

-1 + 4 * 6x + 3 = -10x -5

Now we bring the x's on one side and the non-x's on the other. When we bring a positive x on the other side of an equal sign, it becomes negative. If we bring a negative x on the other side of an equal sign, it becomes positive.

10x * 6x = 1 - 4 - 3 - 5

60x = 1 - 12

60x = -11

x = 60/11

* I had to do this all on paper *

Answer:I'mconfused

Step-by-step explanation:

Answer:

Ill do it

Step-by-step explanation:

It costs my whole life insurance, 24,00 dollars, a brand new private jet, and gummy bears

Answer:

-1

Step-by-step explanation:

Your answer is -1 because you replace the variable n with 6. 42/6 = 7. 8-7 = -1

Answer:

2

Step-by-step explanation:

(4-5) - (13-18+2)

( -1) - ( -3)

-1 + 3

2

Answer:

hello

[tex](4 - 5) - (13 - 18 + 2) = ( - 1) - ( - 3) = ( - 1) + 3 = 2[/tex]

Answer:

2511.2429

Step-by-step explanation:

You should know this this like yr 7 stuff

29747÷ 5828=5.1041523

5.1041523 × 492= 2511.2429

Answer:

1) 0.08

2) -20

3) -4/15 or -0.26 repeating

4) -9/16 or -0.5625

Answer:36

Step-by-step explanation:

Answer:

23^a + 23^b

Step-by-step explanation:

You can't simplify this further because they are different variables.

Answer:

[tex]5^{2}[/tex](7) = 175

Step-by-step explanation:

hope this helps! just follow the order of operations. :)

Answer:

x=-10

Step-by-step explanation:

15-2(x+5)=25

multiply the 2 by the x and 5 and you get

15-2x-10=25

since the 15 and the negative 10 are on the same side you add them together and get

5 -2x= 25

-5       -5

-2x =20

Then divide the -2/20= -10

Answer:

x = -10

Explanation:

15 - 2 ( x + 5 ) = 25

Distribute 2 through the parentheses

15 - 2x - 10 = 25

Subtract the numbers

5 - 2x = 25

Move constant to the right-hand side and change its sign

-2x = 25 - 5

Subtract the numbers

-2x = 20

Subtract both sides

x = -10

Answer:

The greatest number of snack packs Jane can make is 12 snack packs

Step-by-step explanation:

We solve this question using the greatest common factor method

First step would be to find the factors of 24 and 36

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor amongst the above factors for 24 and 36 is 12.

Therefore, the greatest number of snack packs that she can make is 12 packs.

Answer:

0.09

Step-by-step explanation:

Given that 50% of this population prefers the color green.

Let p the probability that one person selected from the population prefer the green color of the car. So,

p=0.05

There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.

By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is

[tex]P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)[/tex]

Here, 15 buyers are randomly selected, so, n= 15 and

[tex]r= \frac1 3 \times 15=5[/tex]

So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is

[tex]P(r=5)=\binom{15}{5}(0.5)^{5}{(1-0.5)}^{15-5}[/tex]

[tex]=\binom{15}{5}(0.5)^{5}{0.5}^{10}[/tex]

[tex]=\binom{15}{5}(0.5)^{15}[/tex]

=0.0916

Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

Answer:

its a

Step-by-step explanation: