Simplify completely
x2 + 12x +35
3x + 15

Answers

Answer 1

[tex]x^2+12x+35\\\\=x^2 +5x +7x +35\\\\=x(x+5) +7(x+5)\\\\=(x+7)(x+5)\\\\\\3x+15 = 3(x+5)[/tex]


Related Questions


What is the equation of the line?

Answers

X=3 is the equation of the line

translate into an algebraic expression, find the number if 10% of it is m

Answers

Answer:

m/0.1

Step-by-step explanation:

--

we want to find it

-----

10%*x=m

OF means multiply

IT is any variable

IS is equal

10%*x=m

0.1*x=m

x=m/0.1 IN THE ANSWER DO NOT INCLUDE x


Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any
rotational symmetry.

Answers

Answer:

No symmetry

Step-by-step explanation:

The shape cannot be folded over any line to be equally matched up to the other side

The line plot below shows the amount of time Jason spent practicing
his soccer skills on six separate days. How much time did he spend on
all six days?
х
X
х
+
3
х
+
1
х
1

Times (hour)


Please help me I will give brainliest!!!!

Answers

The total amount of time spent on practicing is 3 minutes

To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.

From the plot:

([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]

Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.

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Martina is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.

=___

Answers

Answer:

28

Step-by-step explanation:

Subtract highest number from lowest.

92-64 = 28

In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?

Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%

Answers

Answer:

Between 86.6% and 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4%   90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%

The diagram above shows a plan for a park. ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.​

Answers

Answer:

Perimeter of the park = 70 cm

Step-by-step explanation:

Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)

Perimeter = 2πr + 2(BC)

✔️Perimeter of the 2 semicircles = 2πr

Where,

radius (r) = ½(AB) = ½(7)

r = 3.5 cm

Perimeter = 2*π*3.5 = 7*π

Perimeter of the two semicircles = 21.9911486 ≈ 22 cm

✔️Find BC using Pythagorean theorem:

Thus,

BC = √(AC² - AB²)

AC = 25

AB = 7

BC = √(25² - 7²) = √576

BC = 24

✔️Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)

Perimeter of the park = 22 + 2(24)

= 22 + 48

= 70 cm

The circumference of a circle is 257 cm. What is the area,
in
square
centimeters

Answers

Answer:

[tex]2\pi \times r = c[/tex]

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

A=5257.76

Step-by-step explanation:

Or use a calculator online.

5267.56 because I said so use a calculator lol

Roger bought some tins and decided to fill them with brownies to give to his friends. Roger baked 278 brownies. He put 4 brownies in each tin and made sure to fill as many tins as he could. How many brownies did Roger have left over?

Answers

Answer:

Divide 278 by 4 and the remainder value is the amount of leftover brownies.

278 ÷ 4 = 69, remainder of 2

Therefore, he had 2 brownies left.

Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b



help Me these questions I will mark u as brainliest​

Answers

Answer:

Step-by-step explanation:

Given m|n, find the value of x.
(6x-5)
(6x+5)
Answer:
Submit Answer
attempt
PLSSSS HELP

Answers

Answer:

x = 15

Step-by-step explanation:

The two angles form a straight line so they add to 180

6x-5+6x+5 = 180

Combine like terms

12x= 180

Divide by 12

12x/12 =180/12

x = 15

which statement is true

Answers

3) an $8 delivery fee and $1.50 per litre of water

This is because the $8 is a constant baseline, then adding $1.50 times the amount of litres purchased.

can you help me find the slope intercept on the second one?

Answers

Answer:

y= 8x + 5

Step-by-step explanation:

y = 8x + b

5 = 8(0)+b

b = 5

Translate the following into an expression 45% of a

Answers

Answer:

Step-by-step explanation:

ok so this is pretty simple,

Imagine a was the number 1

45% of 1, which would obviously be

45/100 * 1

Same thing here but for the variable a.

45/100 * a!

That would be the algebraic expression for 45% of a!

Cheers! I hope you can understand the problem better now.

there are 32 students in a class and 20 of them own at least one pet what fraction of the class own pets

Answers

HOPE IT HELPS

PLEASE MARK BRAINLIEST

The fraction of the class that owns pets is 20/32, which can be simplified to 5/8.

To find the fraction of the class that owns pets, we divide the number of students who own pets by the total number of students in the class.

A fraction is a mathematical representation of a part-to-whole relationship. It is expressed as a numerical quantity written in the form of one number (the numerator) divided by another number (the denominator), separated by a horizontal line or slash (/).

The numerator represents the number of parts being considered or counted, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to describe a portion or share of something, as well as to compare quantities or perform mathematical operations.

Number of students who own pets: 20

Total number of students in the class: 32

Therefore, the fraction of the class that owns pets is 20/32, which can be simplified to 5/8.

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Which of the following budgets is in surplus?

o Income $500, Fixed Exp. $100, Living Expenses $300

o Income $300, Fixed Exp. $100, Living Expenses $300

o Income $400, Fixed Exp. $100, Living Expenses $300

Answers

Answer:

Income $500, Fixed exp. $100, Living Expenses $300

find the measure of x and y​

Answers

Answer:

x = 94, y = 76

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 86 = 180 ( subtract 86 from both sides )

x = 94

and

y + 104 = 180 ( subtract 104 from both sides )

y = 76

Help me pleaseee i could really use it

Answers

Answer:

20 and 42

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

3(x +y)= 186

x +y= 186 ÷3

x +y= 62 -----(1)

x -y= 22

x= y +22 -----(2)

Substitute (2) into (1):

y +22 +y= 62

2y= 62 -22 (-22 on both sides)

2y= 40

y= 40 ÷2

y= 20

Substitute y= 20 into (2):

x= 20 +22

x= 44

Thus, the two numbers are 20 and 42.

Instructions: Find the missing side. Round your answer to the nearest tenth

Answers

Answer:

x≈64.3

Step-by-step explanation:

since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:

180°-90°-25°=65°

now, we can use the law of sines to find the missing side:

sin25°/30=sin65°/x

x sin25°=30sin65°

x=(30sin65°/sin25°)

x≈64.33520762

rounded to the nearest 10th:

x≈64.3

What is the length of line segment SA

Answers

Answer:

slalalallalalalalalalalalallapapapqpqpq

HELP PLEASE BRAIN FOR CORRRECT

Answers

Answer:

1/6

Step-by-step explanation:

you divide y by x

y ÷ x

each column when you you divide y by x the answer is 1/6

Write the solution set of the inequality graphed below as a com-
pound inequality using the variable g.

Answers

Answer:

-17 < g [tex]\leq[/tex] 8

Step-by-step explanation:

'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.

9. Calculate the perimeter and the perimeter of a quadrant of a circle with radius 7 cm
correct to 3 significant figures.

Answers

Answer:

Circumference is 43.982 cm

Step-by-step explanation:

[tex]circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm[/tex]

[tex]{ \underline{ \tt{ ‡†‡ \: \: trent008}}}[/tex]

Given: overline LM cong overline ON and overline LO cong overline MN Prove : LMNO is a parallelogram

Answers

[tex]\overline {LM} \parallel \overline {ON} \ and \ \overline {LO} \parallel \overline {MN}[/tex] because they form congruent alternate interior angles with a common transversal, therefore, LMNO is a parallelogram because the opposite sides are parallel

The reason the above statement are correct is presented as follows:

The given parameters are;

[tex]\overline {LM}[/tex] is congruent to [tex]\overline {ON}[/tex] and [tex]\overline {LO}[/tex] is congruent to [tex]\overline {MN}[/tex]

Required:

To prove that LMNO (quadrilateral) is a parallelogram

Solution:

The two column proof is presented as follows;

Statement [tex]{}[/tex]           Reason

[tex]\overline {LM} \cong \overline {ON}[/tex]  [tex]{}[/tex]           Given

[tex]\overline {LM} = \overline {ON}[/tex]  [tex]{}[/tex]           Definition of congruency

[tex]\overline {LO}[/tex] ≅ [tex]\overline {MN}[/tex] [tex]{}[/tex]            Given

[tex]\overline {LO}[/tex] = [tex]\overline {MN}[/tex] [tex]{}[/tex]             Definition of congruency

[tex]\overline{LN}[/tex] ≅

[tex]\overline{LN}[/tex] =

ΔLNO ≅ ΔLMN [tex]{}[/tex]    Side Side Side (SSS) congruency postulate

∠NLM ≅ ∠LNO [tex]{}[/tex]    Cong. Parts of Cong. Triangles are Cong. CPCTC

∠NLM and ∠LNO are alternate interior angles

[tex]\mathbf{\overline {LM} \parallel \overline {ON}}[/tex]   [tex]{}[/tex]    Alternate interior angles between parallel lines are congruent

∠MNL ≅ ∠NLO [tex]{}[/tex]    CPCTC

∠MNL and ∠NLO are alternate interior angles

[tex]\mathbf{\overline {LO} \parallel \overline {MN}}[/tex]  [tex]{}[/tex]     Alternate interior angles formed between parallel lines are congruent

LMNO is a parallelogram because the opposite sides, [tex]\overline {LM} \parallel \overline {ON}[/tex] and [tex]\overline {LO} \parallel \overline {MN}[/tex] are parallel

Learn more about parallelogram here:

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LMNO is a plane shape which has the properties of a parallelogram. The the explanations below, it has been proven to be a parallelogram.

A parallelogram is a quadrilateral which has some unique properties. These properties can be used to prove if a given shape is a parallelogram or not.

To prove that LMNO as given in the question is a parallelogram:

The opposite sides of a parallelogram are congruent.

Thus,

/LM/ ≅ /ON/ (opposite side property)

/LO/ ≅ /MN/ (opposite side property)

The opposite sides are parallel to each other.

        i.e LM || ON and LO || MN

Consecutive angles are supplementary.

        i.e <MLO + <LMN = [tex]180^{o}[/tex]

also    

<LON + <MNO = [tex]180^{o}[/tex]

The diagonals are at right angles to each other.

LN ⊥ MO

Opposite angles are congruent.

     <LMN ≅ <LON  and <MLO ≅ <MNO

Therefore the given quadrilateral LMNO has all the properties described above, then it is a parallelogram.

For more clarifications, visit: https://brainly.com/question/10988285

Please help me fill in those couple blanks I’m really struggling

Answers

y = x^2 - 8x + 3

y - 3 = x^2 - 8x + 3 - 3

y - 3 = x^2 - 8x + ___

c = (8/2)^2 = 16

y - 3 + 16 = x^2 - 8x + 16

y + 13 = (x - 4)^2

y + 13 - 13 = (x - 4)^2 - 13

y = (x - 4)^2 - 13

Vertex: (4, -13)

Hope this helps!

Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake

Answers

Answer:

The answer is "94.3".

Step-by-step explanation:

Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]

Calculating the total numbers of ill among them[tex]=50\\\\[/tex]

[tex]\therefore[/tex]

The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]

pls pls pls pls help

Answers

Step-by-step explanation:

[tex]s = \pi \times {r}^{2} = \pi \times {6}^{2} = 36\pi[/tex]

[tex]h = 18 \times \sin(60) = 9 \sqrt{3} [/tex]

[tex]v = s \times h = 36\pi \times 9 \sqrt{3} = 324 \sqrt{3} \pi[/tex]

How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4​

Answers

Answer:

OB

Step-by-step explanation:

start counting from 1

Then your significant digit is 6

How do I do this? I don’t understand it

Answers

Answer:

Step-by-step explanation:

x+65 = 180                            Consecutive angles in llgm are supplementary

x = 180-65                             Subtract equal amounts from both sides.

x = 115

y + 65 = 90                           This hard to explain without letters. The lines are parallel. The right angle is an extension of the right vertical parallel line. So the left two angles are 90 degrees because of the perpendicular angles.

y = 90 - 65

y = 25

Identify the equation of the circle that has its center at (7, -24)
and passes through the origin.

Answers

Answer:

(x-7)²+(y+24)² = 625

Step-by-step explanation:

A circle with center (h, k) and radius r can be represented as

(x-h)²+(y-k)² = r²

We know the center and one point, and need to find the radius. The radius is equal to the distance from the center to any point on the circle. Therefore, we need to find the distance from the center to the point on the circle (in this case, the origin) to obtain the radius.

The distance formula for points (x₁, y₁) and (x₂, y₂) is √((x₁-x₂)²+(y₁-y₂)²). Note that x₁ and x₂ (as well as y₁ and y₂) are interchangeable but x₁ and y₁ or x₂ and y₂ are not.

Our distance between (7, -24) and the origin is

√((x₁-x₂)²+(y₁-y₂)²) = √((7-0)²+(-24-0)²)

= √625

= 25

Therefore, the radius is 25 and our equation is

(x-7)²+(y-(-24))² = (x-7)²+(y+24)² = 25² = 625

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