What is the area of this triangle? O 18 square units O 20 square units O 21 square units 024 square units​

The equations that are true for x = –2 and x = 2 include the following:

x² – 4 = 0

4x² = 16

In order to determine which x-values are true solutions based on the given equations, we would have to test each of the x-values by substituting their values into the equations as follows;

When x = -2, we have:

x² – 4 = 0

(-2)² – 4 = 0

4 - 4 = 0 (True).

When x = 2, we have:

x² – 4 = 0

(2)² – 4 = 0

4 - 4 = 0 (True).

When x = -2, we have:

x² = -4

(-2)² = -4

4 = -4 (False).

When x = -2, we have:

3x² + 12 = 0

3(-2)² + 12 = 0

3(4) + 12 = 0

12 + 12 = 0

24 = 0 (False).

When x = -2, we have:

4x² = 16

4(-2)² = 16

4(4) = 16 (True).

When x = 2, we have:

4x² = 16

4(2)² = 16

4(4) = 16 (True).

When x = -2, we have:

2(x – 2)² = 0

2(-2 – 2)² = 0

2(-4)² = 0

2(16) = 0

32 = 0 (False).

When x = 2, we have:

2(x – 2)² = 0

2(2 – 2)² = 0

2(0) = 0 (True).

Read more on equation here: brainly.com/question/18912929

#SPJ1

Complete Question;

Which equations are true for x = –2 and x = 2? Select two options

x² – 4 = 0

x² = -4

3x² + 12 = 0

4x² = 16

2(x – 2)² = 0

Answer:

3

Step-by-step explanation:

y difference is 9 and x difference is 3 so 9/3 = 3

Answer:

slope = 3

Step-by-step explanation:

(2, 7), (5, 16)

(x₁, y₁)  (x₂, y₂)

m = slope

        y₂ - y₁         16 - 7        9

m = ------------ = ----------- = ------- = 3

        x₂ - x₁         5 - 2          3

I hope this helps!

Answer:50%

Step-by-step explanation:

Equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :

( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )

As given in the question,

Pair of equations that are perpendicular to each other and intersect at point ( -3 , -7 ) are as follow:

let us consider slope of perpendicular lines are m₁ and m₂.

Product of the slope of perpendicular lines = -1

⇒ m₁ × m₂ = -1

⇒ m₂ = -1 / m₁

Pair of perpendicular intersect at point ( -3 , -7 ) .

Required equation of perpendicular lines is given by :

For line 1:

( y - (-7)) / ( x - (-3) ) = m₁

⇒ y + 7 = m₁ (x+3)  

For line 2:

( y - (-7)) / ( x - (-3) ) = m₂

⇒ y + 7 =  m₂( x+ 3)

⇒  y + 7 =  -1 / m₁ ( x+ 3)

Therefore, equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :

( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )

Learn more about equation here

brainly.com/question/10413253

#SPJ1

Answer:

$267,273

Step-by-step explanation:

197980 + .35(197980)

197980 + 69293

267273

The length of the other leg of the right triangle is square root of 43

Given:

A leg length = square root of 6

Hypotenuse length = 7

Let the length of the other leg of the right triangle be y

The diagram of the triangle is as shown in the image attached

Using Pythagoras' theorem:

7² = (√6)² + y²

y² = 7² - (√6)²

y² = 49-6

y² = 43

y = √43

Therefore, the other leg is square root of 43.  The 4th option is the angle

Learn more about Pythagoras' theorem on:

https://brainly.com/question/231802

#SPJ1

Answer:

D = 43

Step-by-step explanation:

I got it right on my test!

Have a great day everyone:)

Answer:

$238.26

Step-by-step explanation:

Answer:

9 : 4

Step-by-step explanation:

Ratio:

Find the quantity of yellow and red dye in the mixture.

 Yellow : Red = 9 : 2

 Total share = 9 + 2 = 11

    [tex]\sf \text{Quantiy of yellow} = \dfrac{9}{11}*44[/tex]

                                 = 9 * 4

                                = 36 litres

      [tex]\sf \text{Quantity of Red}= \dfrac{2}{11}*44[/tex]

                                  = 2 * 4

                                  = 8 litres.

Now, 8 litres of red dye is added.

New quantity of red dye = 8 + 8 = 16 liters.

New ratio of Yellow to red = 36 : 16

                                             = (36÷4) : (16÷4)

                                             = 9 : 4

Answer:

Below

Step-by-step explanation:

m = motorcylce speed

c = car speed = 2m-30

   difference in speeds =   2m-30 - m = m-30

      in two hours this speed accumulates 20 miles (rate * time = distance)

                    2 (m-30) = 20

                     2m - 60 = 20

                         m = 40     then c = 2m-30 = 50    mph

The population of the deer in year 2018 would be 11971.

Given,

In the question:

The model is used to estimate the deer population in a region, where x is the number of years after the year 2009. Using the model, estimate the deer population in the year 2018

Model is given as:

P = 2,3201 [tex](1.2)^x[/tex]

Now, According to the question:

The number of years from 2009 to 2018 = 9

Here, the equation that shows the deer population after x years since 2009,

P = 2,3201 [tex](1.2)^x[/tex]

Substitute x=9 in the above equation,

P = 2,3201[tex](1.2)^9[/tex]

P = 2320(5.15978)

P ≈ 11971

Hence,  the population of the deer in year 2018 would be 11971.

Learn more about Estimation at:

https://brainly.com/question/27839637

#SPJ9

Answer:

84unit square

Step-by-step explanation:

how many years do I need the 3

The answer is:  " 84 cm² " ;  or, write as:  " 84 square centimeters."
 ____

Step-by-step explanation:

Note the formula for the area; "A" ; of a parallelogram—as follows:
   A  =  b *  h  ;

  in which:

   A = the Area of this parallelogram given in the attached image;

for which we shall solve;  in units of:  cm²  ;  

             or, write as:  " square centimeters "
        →  {since all the measurements shown in the image are in units of:                

              "cm"  ["centimeters"].}
 ____
   b =  " base length " =  12 cm {as shown in the image};
 ____
   h =  " perpendicular height " = 7 cm {as shown in the image} .
 ____
To find the area;  A :
 We plug our given values into the equation/formula:
     →   A    =     b    *   h   ;
                 =  (12 cm) * (7 cm) ;
                 =   12 * 7 * cm * cm ;
          A    =    84  cm² .
_____________

Note of interest:  The following quadrilaterals are also parallelograms:
   squares, rectangles, and rhombuses [or, "rhombi"].
_____________
The answer is:  " 84 cm² " ;  or, write as:  " 84 square centimeters."

___

Hope this is helpful to you.
Wishing you well in your academic endeavors!

___

Answer:

at least put the possible answers

The ordered pair that made the equation, y = 4x - 5 correct is (5, 15).

Mara's age is 5 less than four times Brandy's age.   Let x represent Brandy's age, and let y represent Mara's age.

Therefore, the ages can be represented linearly as follows:

y = 4x - 5

where

Therefore, the ordered pair (x, y) that makes the equation correct can be computed as follows:

y = 4x - 5

y = 4(5) - 5

y = 20 - 5

y = 15

The ordered pair is (5, 15)

learn more on equation here: https://brainly.com/question/1014750

#SPJ1

Answer:

yes

Step-by-step explanation:

every x value will have at lest one y value

Answer:

12. [tex]\frac{1}{z^{2} }[/tex]

13. x⁶

Step-by-step explanation:

*Note: When multiplying two of the same variables you add the exponents. When dividing two of the same variables you subtract the exponents. When a variable to a power is raised to another power you multiply the exponents.

Answer:

the answer will be : 1.13

The equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

We have given that circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

Since we know that circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units is;

x² + (y - k)² = 6², or,

x² + (y - k)² = 36.

From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are correct.

Thus, the equations that represent the circle having a diameter of 12 units and a center lying on y-axis are; x² + (y – 3)² = 36, and x² + (y + 8)² = 36.

Learn more about equations of circle at;

brainly.com/question/16039879

#SPJ1

Answer:

10

Step-by-step explanation:

I guess your question is

[tex] {(x - 3)}^{2} = 49[/tex]

[tex]x \: - 3 = \sqrt{49} \\ x - 3 = 7 \\ x = 7 + 3 \\ x = 10[/tex]

Answer:

y=-3/5x+1

Step-by-step explanation:

we use slope formula y2-y1/x2-x1

4-1/-5-0

3/-5

-3/5

Is the slope

The y intercept is 1

So we write like this

y=-3/5x+1

Hopes this helps please mark brainliest

The number of people who do not like any of the three colour is 5, using the set theory.

What is Set theory?

A subfield of mathematics called set theory studies sets and their characteristics. Set theory's fundamental ideas are straightforward and seem to stand on their own. The set theory appears to be straightforward, but it is actually a very complex topic. Mathematicians have specifically demonstrated how almost all mathematical ideas and conclusions may be formalized within the theory of sets. This is regarded as one of the pinnacles of contemporary mathematics. Given this accomplishment, it is possible to assert that set theory serves as the foundation for mathematics.

In the given question, we have:

Total number of people in the survey = 25;

Number of people like red = 13;

The number of people who like blue = 8;

The number of people who like yellow = 13;

5 people like both Red & Blue,

4 people like both Blue & yellow,

7 people like both Red & Yellow

2 people like all three colors.

Let n be the number of people who do not like any of the three colour.

Using the concept of set theory, we can write it as:

3 + 4 + 1 + 5 + 2 + 3 + 2 + n = 25;

⇒20 + n = 25;

n = 25 - 20

n = 5;

Hence, The number of people  who do not like any of the three colour is 5;

To learn more about set theory, visit:
https://brainly.com/question/13458417
#SPJ1

The number represented in the statement is 7

The statements in the question can be highlighted as:

When represented as an equation, we have

5(3x - 10) = 55

Where x represents the number

Divide both sides by 5

3x - 10 = 11

Add 10 to both sides

3x = 21

Divide by 3

x = 7

Hence, the result is 7

Read more about word problems at

https://brainly.com/question/21405634

#SPJ1

Jai rate of reading in books per month is 1.5 books per month.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, Jai read 3 books in 2 month, his rate of reading in books per month will be:

= Number of books / Number of months

= 3 / 2

= 1.5 books per month

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

The greatest number of identical goodie bags Carlos can make is 48.

Therefore will be 2 granola bars and 1 popcorn balls in each bag.

From the information, Carlos is making goodie bags for a party and every goodie bag has exactly the same treats in it.

Carlos has 96 granola bars and 48 small popcorn balls. It should be noted that the greatest common factor between 96 and 48 is 48.

Therefore, granola bars will be:

= 96/48

= 2 in each bag

Popcorn will be:

= 48/48

= 1 in each bag.

Learn more about factor on:

brainly.com/question/25829061

#SPJ1

Answer:

3.6  cups

Step-by-step explanation:

We have to make a proportion to solve this.

[tex]\frac{2cups}{5 gallons}[/tex] = [tex]\frac{x cups }{9 gallons}[/tex]

9 x 2 = 18

18 / 5 = 3.6.

Answer:

Step-by-step explanation:

First, since 50 people can go per trip and the plane wants to fly a lot of times to carry 25,000 people.

Second, then you have to do 25,000/50

Thirdly, you have to find the awnser

             AWNSER=500

Answer:

8 inches

Step-by-step explanation:

1 foot is 12 inches

20 - 12 = n

n = 8

Answer:  The correct answer is 8 more inches.

Step-by-step explanation:

The puppys' current height is 12 inches (1 foot)

The vet's advised maximum height is 20 inches

Difference in height = 20 - 12 = 8 inches

Answer:

x = 17

Step-by-step explanation:

(5x - 23) and (7x - 1) are same- side interior angles and sum to 180° , so

5x - 23 + 7x - 1 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17