7) Qual número deve ser acrescentado a expressão 16x² - 2x, para que se obtenha um trinômio quadrado perfeito? * 5 pontos 1/3 1/2 1/4 1/5

Answer:

Step-by-step explanation:

r=5 cm

area=πr²

perimeter=2πr

substitute the value of r and calculate.

Answer:

78.54 [tex]cm^{2}[/tex] Area

31.42 cm   Circumference/perimeter

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi[/tex]r

A = [tex]\pi[/tex][tex]5^{2}[/tex]

A = 25[tex]\pi[/tex]

A = 78.54

C = 2[tex]\pi[/tex](5)

C = 10[tex]\pi[/tex]

C = 31.42

Answer:

Step-by-step explanation:

[tex]\dfrac{7}{25} =0.28=28\%\\\\\dfrac{2}{3} \approx 0.67=67\%\\\\\dfrac{3}{8} =0.375=37.5%[/tex]

Answer:

A, C, and D

Step-by-step explanation:

Answer:

the answer is A, C And D

Step-by-step explanation:

ADC

Answer:

114

Step-by-step explanation:

114

Answer:

the answer to the question is C

Answer:

The length of the shortest side of the triangle is 10 units.

Step-by-step explanation:

Let a be the shortest side of the isosceles triangle and b be the two congruent sides.

The congruent sides b are each one unit longer than the shortest side. Hence:

[tex]b=a+1[/tex]

The perimeter of the isosceles triangle is given by:

[tex]\displaystyle P_{\Delta}=b+b+a=2b+a[/tex]

This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be s. Hence:

[tex]s=a-2[/tex]

The perimeter of the square is:

[tex]\displaystyle P_{\text{square}}=4s=4(a-2)[/tex]

Since the two perimeters are equivalent:

[tex]2b+a=4(a-2)[/tex]

Substitute for b:

[tex]2(a+1)+a=4(a-2)[/tex]

Solve for a. Distribute:

[tex]2a+2+a=4a-8[/tex]

Simplify:

[tex]3a+2=4a-8[/tex]

Hence:

[tex]a=10[/tex]

The length of the shortest side of the triangle is 10 units.

Answer: h = 14

Step-by-step explanation:

7h-5(3h-8)-56 = -128

7h -15h+40-56 = -128

or, -8h-16= -128

or, -8h = -128 + 16

or, -8h = -112

or, 8h = 112

or, h = 112/8

so, h = 14

Answer:

h = 14

Step-by-step explanation:

We are going to use basic algebra to solve this equation.

First, let's isolate the h variables by moving -56 to the other side:

7h - 5(3h - 8) - 56 = -128

(add 56 to both sides)

7h - 5(3h - 8) = -72

Next, let's distribute the -5 to (3h - 8) by separating it from the equation then adding it back:

7h - 5(3h - 8) = -72

Separation:

-5(3h - 8) --> (-5*3h) + (-5*-8) --> (-15h) + (40)

-15h + 40

Adding it back in:

7h -15h +40 = -72

Next, let's simplify it down by adding like terms, meaning adding 7h & -15h:

7h -15h +40 = -72

(add 7h & -15h)

-8h + 40 = -72

Now we're going to move the 40 to the other side but subtracting 40:

-8h + 40 = -72

(subtract 40 to both sides)

-8h = -112

Finally, we're going to divide both sides by -8

-8h = -112 --> h = 14

The answer is h = 14

(You can double check by plugging 14 into the equation and see if it equals -128, which it does, so it's correct :-) )

Hope it helps (●'◡'●)

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

correct on edmentum or plato

Answer:

9x

Step-by-step explanation:

(x² + 2x) - (x² - 7x) ← distribute parenthesis

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

= 9x

Answer:

9x

Step-by-step explanation:

( x ² + 2 x ) - ( x² - 7 x )

Simply the expression

Remove unnecessary parantheses

combine like terms

Answer:

The answer is "sugar= 200g, flour=600g, and butter=400g".

Step-by-step explanation:

[tex]50\ g \ sugar = 15\ biscuits\\\\3 \times 50 \ g = flour \\\\150\ g = flour\\\\2 \times 50 \ g = butter \\\\ 100 \ g = butter\\\\\frac{60}{15} = 4\\\\ 4 \ \text{times as much}\\\\4 \times 50\ g = 200\ g \ of\ sugar\\\\4 \times 150\ g = 600\ g \ of\ flour\\\\4 \times 100\ g = 400\ g \ of\ butter\\\\[/tex]

Answer:

B. 22°

Step-by-step explanation:

Angle bisector divides an angle into two equal angles.

Angle AVM = Angle MVM = Angle AVB / 2

Angle AVM = Angle AVB / 2

Angle AVM = 88 / 4

Angle AVM = 22°

Answer:

44

Step-by-step explanation:

Answer:

2 : 1

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°

If one of the angle = 120°

The other angle = sum of supplementary angle - one of the angle

= 180° - 120°

= 60°

The other angle = 60°

ratio of pair of supplementary aangle = 120° : 60°

= 120° / 60°

= 2/1

= 2 : 1

ratio of pair of supplementary aangle = 2 : 1

Answer:

A. x² + 3x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 2

g(x) = x² + 1

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

D. x² + 3x + 1

Step-by-step explanation:

Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1

Find :- ( f + g ) ( x )

Solution :-

( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))

( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )

( f + g ) ( x ) = ( x² + 3x - 1 )

Answer:

its 3125

Step-by-step explanation:

you multiply it by 5 every time

Answer:

C

Step-by-step explanation:

Respuesta:

15%

Explicación paso a paso:

Dado :

Precio de compra = $ 4000

Precio de venta = $ 4600

El beneficio obtenido por la venta del artículo:

Precio de venta - precio de compra

$ (4600-4000) = $ 600

El porcentaje de beneficio obtenido:

Beneficio / precio de compra * 100%

600/4000 * 100%

600/4000 * 100%

0,15 * 100%

= 15%

The equation of the line that connects the two points (1,9) and (-2,3) is,

y = 2x+7

or, y-3=2x+4

or, y-3=2(x+2)

So, option c, is the correct option

Answered by GAUTHMATH

Answer:

y=(-ax+c)/b

Step-by-step explanation:

ax+by=c

by=c-ax

by=-ax+c

y=(-ax+c)/b

If 1 pint is equal to 2 cups then 5 pints equals 10 cups

5 times 2 equals 10.

Answer:

(3)11

Step-by-step explanation:

We are given that

[tex](x^2-12x+35)(x^2+10x+24)=504[/tex]

We have to find the sum of positive roots of the equation.

[tex]x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504[/tex]

[tex]x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504[/tex]

[tex]x^4-2x^3-61x^2+62x+840-504=0[/tex]

[tex]x^4-2x^3-61x^2+62x+336=0[/tex]

Factor of 336

2,3,4,6,8,7,

Let x=2

[tex]2^4-2^4-61(2^2)+62(2)+336\neq0[/tex]

x=2 is not the root of equation

x=-2

[tex](-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0[/tex]

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

[tex]3^4-2(3^3)-61(3^2)+62(3)+336=0[/tex]

Therefore, x=3  is the root of equation.

[tex](x+2)(x-3)(x^2-x-56)=0[/tex]

[tex](x+2)(x-3)(x^2-8x+7x-56)=0[/tex]

[tex](x+2)(x-3)(x(x-8)+7(x-8))=0[/tex]

[tex](x+2)(x-3)(x-8)(x+7)=0[/tex]

[tex]x-8=0\implies x=8[/tex]

[tex]x+7=0\implies x=-7[/tex]

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

Step-by-step explanation:

these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.

come on ! are you really not understanding this ?

I think you are not trying to learn and get better, you try to get others doing your work for you.

these problems are so simple that stating them here costs you more time than just solving them.

remember fractions ?

remember the problems to find the smallest common denominator for a list of fractions ?

the first question is exactly that.

what is the smallest common denominator of 3/4, 1/3 and 1/2 ?

because that is the number you need to multiply both sides to eliminate all fractions.

so, what is the smallest number that can be split by 4, 3 and 2 ?

is it 2 ? no, 4 and 3 can't do that.

is it 3 ? no, 2 and 4 can't do that.

...

is it 6 ? no, 4 can't do that.

...

is it 8 ? no, 3 can't do that.

...

is it 12 ? yeah ! all 3 can do that.

here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.

here it would be

2×3×4 = 24

but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.

"isolate the variable" means having it only on one side of the equation.

so, what do you think ?

subtracting any constants does not change anything for "j".

from all the offered options only the subtraction of 1.1j eliminates j from one side.

the runners save.

you only need to translate the words into the corresponding mathematical symbols.

runner 1 has $112 already saved.

that is our starting value for this runner.

so, 112 + ...

received a $45 gift card. so, $45 are added.

so, 112 + 45 + ...

saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.

so, 112 + 45 + 25m

we know already, it is the second option.

but for training purposes let's look at runner 2 too :

he starts with $50 already saved.

so, 50 + ...

saves $60 each month (m). same principle as above.

so, 50 + 60m

if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.

-3x + 1 + 10x = x + 4

how do we solve this ?

by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).

1 + 7x = x + 4

1 + 6x = 4

6x = 3

x = 3/6 = 1/2

hurray, it is the first option !

Answer:

[tex]{ \boxed{ \tt{m \angle1 = m \angle5}}} \\ { \tt{m \angle1 = 180 \degree - m \angle6}} \\ { \tt{m \angle1 = 180 \degree - 123.5 \degree}} \\ { \bf{m \angle1 = 56.5 \degree}}[/tex]

When a pair of parallel lines is intersected by a transversal, then

Corresponding angles are equal.

∠2 and ∠6 are corresponding angles.

So, m∠2 = m∠6

=> m∠2 = 123.5°

We know that linear pair of angles are supplementary (180°).

∠1 and ∠2 are linear pair of angles.

So, m∠1 + m∠2 = 180°

=> m∠1 + 123.5° = 180°

=> m∠1 = 180° - 123.5°

=> m∠1 = 56.5°

Answer:

check footprints and then check finger print the finger print pour powder on it and Trace

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{5g + 9 + 8g + 4}\\\\\huge\textsf{COMBINE the LIKE TERMS}\\\\\large\textsf{5g + 8g + 9 + 4}\\\\\large\textsf{5g + 8g = \bf 13g}\\\\\large\textsf{9 + 4 = \bf 13}\\\\\boxed{\huge\textsf{= 13g + 13}}\large\checkmark\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13g + 13}}}\huge\checkmark\\\\\\\\\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

Hollerith tabulating machine

Step-by-step explanation:

The Hollerith tabulating machine was invented by Herman Hollerith in other to assist in the data processing of the United States 1890 election. This machine was used to read and summarize the information stored on punchcards. This machine paved the way for the development of enhanced models which were employed for accounting and some other aspects related to business management.

Answer:

66

Step-by-step explanation:

Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3

=48+18

=66

Answer:

Step-by-step explanation:

[tex]5) 5\frac{11}{12}+3\frac{5}{6}=5+\frac{11}{12}+3+\frac{5}{6}\\\\ =8 +\frac{11}{12}+\frac{5*2}{6*2}\\\\= 8 +\frac{11}{12}+\frac{10}{12}\\\\=8 +\frac{11+10}{12}\\\\= 8+\frac{21}{12}\\\\=8+ 1\frac{9}{12}\\\\= 9\frac{9}{12}[/tex]

Answer:

[tex]gradient = - \frac{1}{3} \\ { \tt{equation \: is \: y = - \frac{1}{3}x + 3 }}[/tex]

Answer:

The equation of a perpendicular line to  

y =( -1/3 )x+b (b is a normal number)

Step-by-step explanation:

1.Use the slope-intercept form to find the slope.

Tap for more steps...

m = 3

2. the perpendicular line to y=3x+3

must have a slope that is the negative reciprocal of the original slope.

thus,

m perpendicular  =  −1/3