Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?

1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2

Answer:

.0874 or .087

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

4.6% > 0.046

0.046 x 1.9 = 0.0874

0.0874 + 1.9 = 1.9874

rounded to nearest hundredth

1.99

Answer:

x = - 12, x = 6

Step-by-step explanation:

Given

(x + 3)² - 81 = 0 ( add 81 to both sides )

(x + 3)² = 81 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )

x = - 3 ± 9

Thus

x = - 3 - 9 = - 12

x = - 3 + 9 = 6

Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Answer:

D. 34 * p

Multiply them dude...

Answer:

D. 34 · p

Step-by-step explanation:

Product means multiplication, so the product of 34 and p is 34×p or 34·p

Hope this helps,

plx give brainliest

Answer:

You can determine the type of triangle using the following facts related to the converse of the pythag theorem

if a^2 + b^2 > c^2, then it is an obtuse triangle

if a^2+b^2<c^2, then it is an acute triangle

finally, if a^2+b^2=c^2, then it is a right triangle

NOTE THAT C ALWAYS EQUALS THE LONGEST LENGTH OF THE TRIANGLE!!!

Answer:

I am pretty sure its (a) and (c)

Step-by-step explanation:

Answer:

V = m/d

Step-by-step explanation:

d = m/V, m = mass and V = volume

We want to solve for V

Multiply each side by V

dV = m/V *V

dV = m

Divide each side by d

dV / d = m/d

V = m/d

Answer:

2x + 3

Step-by-step explanation:

Given

(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis

= x² + 7x + 1 - x² - 5x + 2 ← collect like terms

= 2x + 3

Answer:

2x+3

Step-by-step explanation:

Answer:

2 pieces, 30ft each

Step-by-step explanation:

rope : 60ft long

we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:

if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.

Answer: Reflection

Step-by-step explanation:

After reflection it maps the pre-image to the image.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A transformation of ΔSTV results in ΔUTV.

Now, We can see the image of triangles,

After reflection it maps the pre-image to the image.

Thus, The correct transformation which maps the pre-image to the image is, Reflection.

Learn more about the transformation visit:

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Answer:

its b i checked it

Step-by-step explanation:

The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

We know the square root of a number indicated the number has been raised by half.

Given, An expression [tex]\sqrt{10}[/tex].

So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].

learn more about radical expressions here :

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Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the lengths of a and b are equal, the degrees of the angles should also be equal.

Answer:

5(x-3)

Step-by-step explanation:

5(x - 3)

= 5*x - 5*3

= 5x - 15

Answer:

yup this is correct b,c,e

Step-by-step explanation:

Answer:

Step-by-step explanation:

57

60

63

Answer:

CAB

Step-by-step explanation:

Angle CAB and Angle FAB together make 180 degrees(straight angle) . A supplementary angles equal to 180 degrees.

Answer:

2x - 7 = 8

2x = 8 + 7

2x = 15 (divide both sides by 2 to get x)

2x/2 = 15/2

x = 7.5

Step-by-step explanation:

Answer:

11, 3

Step-by-step explanation:

Substitute 11

2|11-7|=8

2|4|=8

8=8

Substitute 3

2|3-7|=8

2|-4|=8

2x4=8

8=8

Answer:

y = - (x + 1)²

Step-by-step explanation:

Vertex form of a parabola is given by,

y = -(x - h)² + k

Where (h, k) is the ordered pair representing vertex.

(-) sign denotes that the parabola is opening downwards.

If the coordinates of the given parabola is (-1, 0)

Equation of the parabola will be,

y = - (x + 1)² + 0

y = - (x + 1)²

Therefore, equation of the parabola will be, y = - (x + 1)²

Answer:

i believe it is b

Step-by-step explanation:

Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

Answer:

kn=15

nm=20

Step-by-step explanation:

The lengths of sides KN and NM of the kite

KN =  15   units

NM =   20 units

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

Given:

KLMN is a kite.

According to the given kite,

KN = KL........ (1)  

and LM = NM........ (2)

From equation (1)

y + 10 = 2y + 5

y = 5.

Now,

3x -1 = 2x + 6

x = 7

We get,

LM = MN = 20

KN =  15   units

NM =   20 units

To learn more about the kite's shape;

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Answer:

D

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

Answer:

0.24

Step-by-step explanation:

Answer:

Parallelogram

Step-by-step explanation: You have to plot the points in a coordinate plane. If you do that and connect the dots you will get parallelogram.

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

Answer:

[tex]\displaystyle 84x[/tex]

Step-by-step explanation:

[tex]\displaystyle (-2)(-6x)(7)[/tex]

[tex]\displaystyle -2 \times -6x \times 7[/tex]

[tex]\displaystyle12x \times 7[/tex]

[tex]\displaystyle =84x[/tex]

Answer:

224/4

this will give you 56 miles per hour, or c.

Step-by-step explanation:

Hope this helps!

Answer:

15

Step-by-step explanation:

Step-by-step explanation:

tan 35=3/x

tan 35 x =3

x=3/tan 35

x=4.28

just double check this because I'm not quite sure

Answer:

AC = 4.28

Step-by-step explanation:

Khan Academy

Answer:

1) 60 m³ 2)182 m³ 3) 456 in.³

Step-by-step explanation:

1) 3 x 6 x 3 = 54

1 x 2 x 3 = 6

54 + 6 = 60

2) 3 x 6 x 7 = 126

2 x 7 x 4 = 56

126 + 56 = 182

3) 3 x 4 x 2 = 24

9 x 4 x 12 = 432

24 + 432 = 456