1.
Activity 1
Substitute each pair of coordinates to the
system of inequality below and tell whether
it is a Solution or Not Solution
2x + 5y < 10
3x - 4y = -8

a. (3,5)__________
b. (-2,-10)________
c. (5, -12)_________
d. (-6, -8)_________
e. (0,0)______​

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope and different y-intercept

perpendicular lines have the reciprocal as slopes( 2/5 and 5/2)

as these slopes have neither the answer in NEITHER

Answer: A!!

Step-by-step explanation:

i just got it right lol

Answer:

I believe the answer is 2

Step-by-step explanation:

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

[tex](x-5)^2+(y+3)^2=49[/tex]

The general equation of circle is given by :

[tex](x-a)^2+(y-b)^2=r^2[/tex] ...(1)

Where

(a,b) are the coordinates of the centre and r is the radius.

The given equation can be written as :

[tex](x-5)^2+(y+3)^2=7^2[/tex] ..(2)

Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.

Answer:

Step-by-step explanation:

These represent the points on the graph with w as the x-axis and l as the y -axis. You only need two pairs to make a line, but it is always best to use a 3rd point as a check.

Answer: Choice A.

Knowing that 5^2 + 12^2 = 13^2, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.

The diagram is shown below.

The converse of the pythagorean theorem states that if a^2+b^2 = c^2, then we have a right triangle with hypotenuse c. The hypotenuse is always the longest side and always opposite the 90 degree angle.

Note how 5^2+12^2 = 25+144 = 169 while 13^2 = 169, so that shows how 5^2+12^2 = 13^2 is true.

Answer:

yes for the final exam its A

Step-by-step explanation:

Step-by-step explanation:

Please refer to the attachment

Answer:

x = 18

Step-by-step explanation:

5x/9 = x/6 + 7

multiply both sides by 9

5x = 9x/6 + 63

multiply both sides by 6

30x = 9x + 378

subtract 9x from each side

21x = 378

divide both sides by 21

x = 18

check by substituting 18 for x:

5(18)/9 = 18/6 + 7

5(2) = 3 + 7

10 = 10

Answer:

108

Step-by-step explanation:

3x5 = 15 he has already delivered 15 presents

123-15= 108 he has 108 left to deliver

9514 1404 393

Answer:

  g(x) = 3x^2 -2

Step-by-step explanation:

Reflection in the y-axis replaces x with -x.

  g(x) = f(-x) = 3(-x)^2 -2

  g(x) = 3x^2 -2

_____

The given function is symmetrical about the y-axis, so its reflection is itself.

1.64

2.512

3.27

4.125

I'm sorry if it's wrong

Answer:

y=4-3x/2

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.

Answer:

that would be 40 and 20 !

Step-by-step explanation:

40 + 20 = 60

and 40 = 20 + 20.

Answer:

the answer is 40+20

20+20

Answer:

45

Step-by-step explanation:

((100-25)/100)× 60 is the correct answer

Answer:

Step-by-step explanation:

Answer:

the equation of yours is wrong. the equation would be y=1/3x.

Step-by-step explanation:

here's the graph. hope it helps.

Step-by-step explanation:

step 1. f(x) = rx + s

step 2. domain of f(x): all x

step 3. f'(x) = lim h->0 (f(x + h) - f(x))/h

step 4. f'(x) = lim h->0 (r(x + h) + s - (rx + s))/h

step 5. f'(x) = r

step 6. domain of f'(x): all x.

Answer:

CENTROID

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

a squared + b squared= c squared

8^2+15^2=17^2

64+225=289

Answer:

x+3 > 21

the is a line under the greater than symbol

Step-by-step explanation:

Answer:

-17x2 - 14x + 10

 ————————————————

        2        

Step-by-step explanation:

STEP

1

:

           25

Simplify   ——

           2

Equation at the end of step

1

:

             25

 (((4•(x2))-(——•x2))-7x)+5

             2

STEP

2

:

Equation at the end of step 2

                 25x2            

 (((4 • (x2)) -  ————) -  7x) +  5

                  2              

STEP

3

:

Equation at the end of step

3

:

           25x2            

 ((22x2 -  ————) -  7x) +  5

            2              

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

            22x2     22x2 • 2

    22x2 =  ————  =  ————————

             1          2    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

22x2 • 2 - (25x2)      -17x2

—————————————————  =  —————

        2               2  

Equation at the end of step

4

:

  -17x2          

 (————— -  7x) +  5

    2            

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         7x     7x • 2

   7x =  ——  =  ——————

         1        2  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

-17x2 - (7x • 2)     -17x2 - 14x

————————————————  =  ———————————

       2                  2    

Equation at the end of step

5

:

 (-17x2 - 14x)    

 ————————————— +  5

       2          

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        5     5 • 2

   5 =  —  =  —————

        1       2  

STEP

7

:

Pulling out like terms :

7.1     Pull out like factors :

  -17x2 - 14x  =   -x • (17x + 14)

Adding fractions that have a common denominator :

7.2       Adding up the two equivalent fractions

-x • (17x+14) + 5 • 2     -17x2 - 14x + 10

—————————————————————  =  ————————————————

          2                      2        

STEP

8

:

Pulling out like terms :

8.1     Pull out like factors :

  -17x2 - 14x + 10  =   -1 • (17x2 + 14x - 10)

Trying to factor by splitting the middle term

8.2     Factoring  17x2 + 14x - 10

The first term is,  17x2  its coefficient is  17 .

The middle term is,  +14x  its coefficient is  14 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   17 • -10 = -170

Step-2 : Find two factors of  -170  whose sum equals the coefficient of the middle term, which is   14 .

     -170    +    1    =    -169

     -85    +    2    =    -83

     -34    +    5    =    -29

     -17    +    10    =    -7

     -10    +    17    =    7

     -5    +    34    =    29

     -2    +    85    =    83

     -1    +    170    =    169

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -17x2 - 14x + 10

 ————————————————

        2        

Answer:

d≈49.02cm

Step-by-step explanation:

C=2πr

d=2r

Solving ford

d=C

π=154

π≈49.01972cm

Answer:

All you have to do

Step-by-step explanation:

All you have to do is divide the number pie by 154 or if does not work try doing 154 by number pie

Answer: n = 152 m

Step-by-step explanation:

write a proportion to find n.

46/n = 92/204

n = 102 m

The length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.

In the two similar triangle, the ratio of two sides of one triangle is equal to the ratio of corresponding sides of the other triangle.

In the figure shown,

The total length of the base of the larger triangle is,

[tex]112+92=204\rm\; m[/tex]

The height of this triangle is n meters, which is equal to the length of lack. Thus, by the similar triangle proportion property,

[tex]\dfrac{n}{204}=\dfrac{46}{92}\\n=\dfrac{46\times204}{92}\\n=120\rm\; meters[/tex]

Thus, the length of the lake shown in the provided image using similar triangles and a proportion is 102 meters.

Learn more about the similar triangle here;

https://brainly.com/question/14285697

#SPJ2

Answer: p= 2 and q= 1

Answer:

yes? what do you need help with

Step-by-step explanation:

Step-by-step explanation:

The ratio and proportion is the mathematical concept that can explain the correlation between the size of a dog and the amount of food it eats. For example dogs weighing 3 to 7 kg should consume 67 to 112 grams of food per day, that is, the amount of food must be proportional to the weight of the dog.

The ratio and proportion are interconnected concepts that allow the understanding of comparison between quantities.

Answer:

[tex]80[/tex]

Step-by-step explanation:

[tex]the \: number \: between \: (-10) \: and \: ( 70) \: \\ is \: same \: as \: (70) - ( - 10) = 70 + 10 \\ ans = 80[/tex]

Answer:

Step-by-step explanation:

Find the midpoint:

The number is 40

Answer:

Lea el párrafo y complete con las siguientes palabras que faltan:

Hereditaria Cromatina Equitativa Cromátidas Cromosomas

ADN Genes Duplica Brazos Centrómero

Los ______________________ son los portadores de nuestros _______________. A su vez, nuestros genes son los que

transmiten la información ________________________ de padres a hijos.

Él _________ se encuentra en el núcleo de la célula, unido a proteínas, formando la _________________. Cuando la

célula se va a dividir, la cromatina se _______________ para poder distribuir la información genética de forma

_____________________ entre las dos células hijas.

Tras la duplicación, cuando la célula empieza a dividirse, los cromosomas estarán formados por dos partes idénticas

denominadas ____________________, unidas entre sí por el _______________________, que divide a cada cromátida

en dos partes denominadas ________________________.