What two numbers multiplied together equal 42 but when added they equal -13

the height of the box is 9 inches

Answer:

solution given:

total surface area of a box=160 square inches

let length, width, and height be l,b, and h respectively.

according to the question:

l=2b

∴b =[tex]\frac{l}{2}[/tex]

l=h-4

∴ h=l+4

we have

total surface area of a box=160 square inches

2(lb+lh+bh)=160

[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]

[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]

[tex]4l^2+12l=160[/tex]

[tex]4(l^2+3l)=160[/tex]

[tex]l^2+3l=\frac{160}{4}[/tex]

[tex]l^2+3l-40=0[/tex]

doing middle term factorization

[tex]l^2+(8-5}l-40=0[/tex]

[tex]l^2+8l-5l-40=0[/tex]

taking common from each two terms

l(l+8)-5(l+8)=0

(l+8)(l-5)=0

either

l=-8[neglected as length is always positive]

or

l=5

now

b=[tex]\frac{5}{2} =2.5[/tex]

h=5+4=9

Step-by-step explanation:

Answer:

In the picture

Step-by-step explanation:

it's an acute triangle

more information in the picture

Answer:

Step-by-step explanation:

all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction

Answer:

z = 1

Step-by-step explanation:

-z+7 = 6

so

7-6 = z

1 = z

good luck

Answer:

[tex]\huge\boxed{\sf z = 1}[/tex]

Step-by-step explanation:

-z + 7 = 6

Subtract 7 to both sides

-z = 6 - 7

-z = -1

Divide both sides by -1

z = 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

The value of y in the cyclic quadrilateral with ∠AOC(142°) is 38°

The diagram above represents a cyclic quadrilateral.

A cyclic quadrilateral has all it vertices on the circumference of the circle.

Therefore,

Opposite angles are supplementary. This means they add up to 180 degrees.

Therefore,

142° + y° = 180°

subtract 142 from both sides of the equation

142 - 142 + y = 180 - 142

y = 38°

learn more about circle theorem here: https://brainly.com/question/24795394

For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression

It is given that the expression is,

Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.

The expression for the given condition is,

=(10 + 16) ÷ 2

If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,

=2/3 x 2 + 1/4

Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.

Learn more about the expression here:

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Answer:

The first table

Step-by-step explanation:

x         y

7         76

10      100

13       124

16      148

HOPE THIS HELPS :)

Answer:

T=Q

Step-by-step explanation:

They are in te same position on the comparison

Multiply the percentage by the allowable amount:

180% = 1.80

20 x 1.80 = 36

Answer: 36 mg

Answer:

1, 3, 9

Step-by-step explanation:

the nine can be divided by those three numbers and no more

Answer:

1,3,9

Step-by-step explanation:

[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]

Answer:

C, 11

Step-by-step explanation:

Answer:

approximately 31

Step-by-step explanation:

3X-2=11

3x=13

x=13/3 = 4.3

then 6X+5=6×4.3+5 = 30.8 or approximately

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

Learn more here: https://brainly.com/question/25915612

Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:

Answer:

25X48=1200 buttons in all

1200 divided by 15 = 80

She needs to buy 80 bags which totals 1200 buttons

Step-by-step explanation:

Triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle NLM is reflected over the line segment and form the  triangle ABC.

Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.

The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.

Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

To learn more on Triangles click:

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Answer:

Distributive Property

Step-by-step explanation:

5(x - 7) = 55   ⇒   5x - 35 = 55

The 5 was distributed in 5(x-7) to get 5x - 35.

Step-by-step explanation:

the "x-2" makes it shift by 2 to the right (functional values are created at x that "should have happened" at 2 x units before, so the whole graph moves to the right).

the 0.4 factor compresses it by the factor 0.4

the "-" at the beginning just "flips" (reflects) it to the other side of the x-axis.

Answer:

The price is $27.00

Step-by-step explanation:

First you find 40% of 60 which is 24.

Next you subtract 24 from 60 (60-24) which equals 36.

Then you find 25% of the discounted price (36) which is 9.

Finally you subtract 9 from 36 (36-9) which is 27.

Conclusion:

So therefore the answer is $27.00.

I don't care if I get brainlyist just glad I could help :)

Answer:

38 degrees

Step-by-step explanation:

all triangles length added up are 180 degrees.

add 52 and 90 to get 142. Subtract to get 38 degrees.

Answer:

a

Step-by-step explanation:

Answer:

A, C, and E

Step-by-step explanation:

Replace the x with 4 and do the math

Answer:

1 and 4

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

45+30=100-w

then your going to subtract 45 on both sides. So 100-45 is 55.

so now your equation looks like this

30 = 55 - w

subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25

i hope thus helps

Answer

588 is the exact answer. Which is about 590 or 600.

Step-by-step explanation:

[tex]\huge\boxed{Good\:evening!:)}[/tex]

2(2c+12)=68

4c+24=68

4c=68-24

4c=44

Divide both sides by 4:

c=11

[tex]\huge\boxed{Hence,\:the\:answer\:is\:11.:)}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\huge\sf{Good\:luck.}[/tex]

[tex]\boxed{DreamyTeenager\:here\:to\:help}[/tex]