if 4x^2 - 100 = 0, the roots of the equation are

Answer:

y = 1/2x + 5

Step-by-step explanation:

The formula for an equation is y = mx + b

m is the slope. It is given

y = 1/2x + b

b is the y-intercept

In this case, we must substitute to find the y-intercept

We are given coordinate pair (4,7)

Plug our pair in and we get => 7 = 1/2(4) + b

=> 7 = 2 + b

easily, we find b = 5

We get our equation: y = 1/2x + 5

Cheers!

Answer:

A) 62

Step-by-step explanation:

The angle of BCA is 62 degrees. thus, Option B. is correct.

The sum of the angles of the quadrilateral is 360 degrees.

We need to find the ∠BCA:

∠OBD = 90  

∠OAD = 90  

So angles in quadrilateral BOAD

56, 90, 90 and∠ BOA

56 + 90 + 90 + ∠BOA = 360

∠BOA = 360 - 90 -90 - 56

∠BOA = 124

∠BCA is angle at circumference

∠BOA = 124, is the angle at centre

Angle at Centre = 2 x Angle at circumference

Angle at Circumference = Angle at Centre / 2 = 124/2 = 62

∠BCA = 62 degrees

thus, Option B. is correct.

Learn more about quadrilateral ;

https://brainly.com/question/13805601

#SPJ2

Answer:

The solution is (8,12)

Step-by-step explanation:

An equation is formed of two equal expressions. The solution of the system of equations is (8,12).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation of line A is y=0.5x+8.

The equation of line B is y=-0.5x+16.

Hence, the solution of the system of equations is (8,12).

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer:

12

Step-by-step explanation:

6 ÷ 1/2 = 6 × 2 = 12

Answer:

-11 and -7

Step-by-step explanation:

Answer:

-11 and -7

Step-by-step explanation:

-11 + (-7) = -18

-11 x -7 = 77

Answer:

m + 12 = 26

Step-by-step explanation:

I hope this helps a little.

Answer:

look at the picture i sent please

Answer:

There are 8 girls

Step-by-step explanation:

We see that right now there are 6 more boys than girls and if there were 2 girls there would be 14 boys meaning there would be 12 more boys than girls if you continue in this pattern you would get-

7:1= 6 more boys                   35:5=30 more boys                                                

14:2= 12 more boys                42:6= 36 more boys

21:3=18 more boys                 49:7= 42 more boys

28:4= 24 more boys               56:8= 48 more

This shows us that if there are 8 girls in  group there are 56 boys meaning there are 48 more boys than girls if the group had 8 girls

Answer:

15 cm

Step-by-step explanation:

Answer:

C. $40.50

Step-by-step explanation:

OK so, If 20 articles cost ? 90, then the cost of 9 articles is ?

First you need to find out how much is 1 article.. Divide 90 by 20 you get, $4.5. now multiply 4.5 by 9. Which you get... 40.5. In other words it can also be written as, 40.50.

Hope its correct ;w;

Answer:

D) 490 > 13.75 + 44.82d

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope that is useful for you :)

Answer:

a = 0

Step-by-step explanation:

3a * 1 = 2a

3a = 2a

3a - 2a = 2a - 2a

a = 0

Answer:

45[tex]\pi[/tex]

Step-by-step explanation

The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.

Volume of a cylinder = h

Lets say r is the radius and h is the height of the cylinder.

Given that; h = 5 feet and r = 3 feet.

The required volume = [tex]\pi[/tex] ×  × 5

                                  = [tex]\pi[/tex]  × 9 × 5

                                 = 45[tex]\pi[/tex] cubic feet

Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

-49 -49

x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

-1936 -1936

x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

Answer:

answer is c Hope this helps

Step-by-step explanation:

Answer:

-12 and -4

Step-by-step explanation:

-12 + (-4)  = -16

-12 x -4 = 48

Answer:

-4, -12

Step-by-step explanation:

-4 + (-12) = -16

-4 x -12 = 48

Answer: Option 2 because it's the only one with repeating x coordinates.

Answer:

I did that before its A trust me

Step-by-step explanation:

Its annoying but wants yo learn it, itll get easy

Answer:

1+11/2n+3p^2x

Answer:

C  None of the above

Step-by-step explanation:

Here are the required options

Choose all answers that apply

A  (5g+3h).8  

B  (5g+3h).6  

C  None of the above

Given the expression;

(5g+3h+4).2

Expand

(5g+3h+4).2

= 2(5g+3h+4)

= 2(5g) + 2(3h) + 2(4)

= 10g+6h+8

Checking option A;

(5g+3h).8

Expand

= 8(5g+3h)

= 8(5g) + 8(3h)

= 40g+24h

Checking option B:

(5g+3h).6

Expand

= 6(5g+3h)

Using the distributive law;

= 6(5g) + 6(3h)

= 30g+18h

Since none of the expressions for A and B is equivalent to 10g+6h+8, hence NONE of the options are correct

Answer:

C

Step-by-step explanation:

On khan

Answer:

X=15/4

Step-by-step explanation:

Answer:

=

1

5

4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

She walks 4.6 miles a day. 4.6 miles times 15 days is 69 miles. Hope this helps

Answer: x is 4 y is 6 for the translation

Step-by-step explanation:

translation is up down left or right on the grid. left or right is x up or down is y.

Answer: x is 4 y is 6 for the translation

Step-by-step explanation:

translation is up down left or right on the grid. left or right is x up or down is y.

Answer:

37.5%

Step-by-step explanation:

The percentage of the punch in cranberry juice will be 37.50%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Diane makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice.

The percentage of the punch in cranberry juice will be given as,

P = [3 / (3 + 3 + 2)] x 100

P = (3 / 8) x 100

P = 0.375 x 100

P = 37.50%

The percentage of the punch in cranberry juice will be 37.50%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

Answer:

C

Step-by-step explanation:

what is the problem. Tell!!!!