Find two numbers A
and
B
whose sum
a
+
b
is
−
3
, and whose difference
a
−
b
is
−
7
.
Your answer is
a=

b=

Answer:

I think it's 136 inches...

Step-by-step explanation:

Answer:

128 in.

Step-by-step explanation:

right on test

Answer:

284

Step-by-step explanation:

Per the plot, looks like g(-8) = 1 and g(2) = -4. Then the average rate of change of g over [-8, 2] is

(g(2) - g(-8)) / (2 - (-8)) = (-3  - 1)/10 = -2/5

Answer:

Step-by-step explanation:

Each point of intersection with the system of equations was matched.

Any equation in the form [tex]ax+by+c=0[/tex] is called a linear equation where a,b,c∈R.

In the given diagram, to find the intersection of two lines, solve the equations of two lines.

1)[tex]\left \{ {{y=-2x-3} \atop {y=2x-1}} \right.[/tex]

The solution of the given system of equations comes to be x=-1/2 and y=-2.

So they will intersect at (-1/2, -2) i.e. same as the graph.

2)[tex]\left \{ {{y=x+4} \atop {y=-x+2}} \right.[/tex]

The solution of the given system of equations comes to be x=-1 and y=3.

So they will intersect at (-1,3)

Similarly, the other two systems of equations will intersect at (-7/3,5/3) and (-1,1) respectively.

Hence, each point of intersection with the system of equations was matched.

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The expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

1) x^1/2

find the square root

[tex]= √x^1/2

[/tex]

[tex]= x^1[/tex]

= x

2) x^2/3

[tex]= 3√x^2/3[/tex]

= x²

3) x^-3/5

[tex]= 5√x^-3/5[/tex]

[tex]= x^-3[/tex]

[tex]= 1/x^3[/tex]

4) x^-1/2

[tex]= √x^-1/2[/tex]

,

[tex]= x ^-1[/tex]

[tex]= 1/x[/tex]

5) x^1/3

[tex]= 3√x^1/3[/tex]

[tex]= x^1[/tex]

= x

Therefore, the expressions that can never result in a negative real number when evaluated for any value of x are x^1/2, x^2/3 and x^1/3

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Answer:

a. 0.921

b. 0.391

c. 2.356

Answer:

12 boxes

Step-by-step explanation:

800/65=12.307, since this is not a whole number, and the limit cannot exceed 800 pounds in a stack, you must round down to 12

Answer:

Step-by-step explanation:(-1.5,3) and (0,3)

Answer:

5.3

Step-by-step explanation:

Answer:

16π or 50.266

Step-by-step explanation:

Circumference formula is just 2πr ,and the radius is 8, so just sub into the formula

Answer: 25.12 cm

Step-by-step explanation:

The formula for the circumference of a circle is [tex]2\pi r[/tex], when r = the radius.

Diameter = 2 x radius = 8 cm. Therefore, the radius = 4 cm.

Plug r = 4 cm in to the circumference formula: [tex]2\pi (4)[/tex] = 8 x 3.14 = 25.12 cm.

Step-by-step explanation:

• Elimination (find y) :

x + 3y = 18

x + 2y = 14 _

y = 4

• Substitute y = 4 to one equation :

x + 3y = 18

x + 3(4) = 18

x + 12 = 18

x = 18 - 12

x = 6

• The set of equations :

{x, y} = {6, 4}

So, the solution to that system equation is 6, 4 (A)

Answer:

D, 90

Step-by-step explanation:

See image below.

To find the distance from Bill to Ron, we will use the Pythagorean Theorem, which is a^2+b^2=c^2.

(a and b being the legs of the triangle, they form the 90 degree angle. c=hypotenuse, or the side that is opposite from the 90 degree angle)

In this example, a=30 and b=40.

30^2+40^2=c^2

900+1600=c^2

2500=c^2

c=50.

Then, to find the yards thrown, we will add the distance from Ron to Bill and the distance from Bill to John. This can be written as 50+40, which equals 90 yards.

Answer:

20

Step-by-step explanation:

The hypotenuse is always the largest number and side length in a right triangle. We know the answer is 20 because it is the largest number.

Answer:

The angles and lengths should not change at all the image and pre-image should be the same just at a different place on the graph

Answer:

2/9

Step-by-step explanation:

its in the range to be 2/9

Answer:

[tex]y=2x^2+4x+2[/tex]

Step-by-step explanation:

[tex]y=2(x+1)^2[/tex]

[tex]y=2(x^2+2x+1)[/tex]

[tex]y=2x^2+4x+2[/tex]

Answer:

72a^8b^6c^6

Step-by-step explanation:

Answer:

y=2/3x+2

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Applying Pythagoras' identity to the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + x² = ([tex]\sqrt{18}[/tex] )², that is

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Answer:

The measure of the hypotenuse is 25.

Step-by-step explanation:

To solve, we can use the Pythagorean theorem a² + b² = c² where,

a = 7

b = 24

(7)² + (24)² = 625

We have to take the square root of 625 to get our answer.

[tex]\sqrt{625} = 25[/tex]

Answer:

25

Step-by-step explanation:

This is a right triangle. This is because of the little square in the corner that indicates a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

We know that 7 and 24 are the legs, because they make up the right angle. We know c is the hypotenuse because it is opposite the right angle.

7^2+24^2=c^2

Evaluate the exponents on the left side.

49+576=c^2

Add 49 and 576

625=c^2

Since c is being squared, take the square root of both sides. This will cancel out the exponent, and leave c by itself.

√625= √c^2

√625=c

25=c

The measure of the hypotenuse is 25

Answer:

(x - 5)(x + 1)

Step-by-step explanation:

[tex] {x}^{2} - 4x - 5 \\ = {x}^{2} - 5x + x - 5 \\ = x(x - 5) + 1(x - 5) \\ = (x - 5)(x + 1) \\ [/tex]

Answer:

I think that the answer is D

Answer:

the second friend

Step-by-step explanation:

Answer:

both methods are correct

Step-by-step explanation:

Given

7(x + 4) = 49 ( divide both sides by 7 )

x + 4 = 7 ( subtract 4 from both sides )

x = 3

---------------------------------------------------------

Given

7(x + 4) = 49 ← distribute parenthesis by 7

7x + 28 = 49 ( subtract 28 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

As shown both methods are equally valid

Answer:log(48) = 1.68124

Step-by-step explanation:

After checking for the values of log 48 and log 3, then the approximate value will be 1.08.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

log(48) = 1.68

log(3) = 0.48

Then, the approximate value of log 3 and log 48 will be: 1.08

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Answer:

£13.56

Step-by-step explanation:

Fig rolls:

If you buy 4 you get 2 half price.

So, 1.34/2=0.67

So, (1.34*2)+(0.67*2)=£4.02

Crisps:

If you buy 9 crisps you get 9 for the price of 6.

So, 1.59*6=£9.54

Total:

£4.02+£9.54=£13.56

Answer:

for twelve: 4 x 3, 9 + 3, 24 / 2.

for two: 1 x 2, 1 + 1.

Step-by-step explanation:

4 x 3 = 12, 9 + 3 = 12, 24 / 2 = 12

1 x 2 = 2, 1 + 1 = 2.

Answer:

1)Any negative number above -5

2)it wouldn’t make sense since it’s a negative number unless you replace the dividend

Step-by-step explanation:

Answer:

60.96 cm

Step-by-step explanation:

you do proportions

1 in = 2.54

24in= ?

you multiply 2.54 by 24

Answer:Hence, Aaron needs 60.96 centimeters of wire.

Step-by-step explanation: Multiply both sides by 2.54.

Multiply both sides by x.

x = 60.96

Answer:

A

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be  0  or  1  for each of its variables. In this case, the degree of variable  y  is  1 .

Answer:

the first one( even though it has an error : P is (-2,1) ) and because the Q is correct there too.

Answer:

4

Step-by-step explanation:

Since it is going up four and over one you would just simplify 4/1 to just being 4.