Find the area of the shaded sector of the circle.

Basic quadratic expression:

[tex]ax^2+bx+c[/tex]

[tex]2x^2+5x-42[/tex]

Factoring a quadratic expression when a ≠ 0

1.  Multiply a and c values (ac=k)

[tex]2(-42) = -84[/tex]

2. Find a factor pair whose sum adds to b and has the product of k

[tex]-7,12[/tex]  

[tex]-7(12)=-84[/tex]           [tex]-7+12=+5[/tex]

3. Replace the middle term (bx) with newfound values

[tex]2x^2 +12x-7x-42[/tex]

4. Factor by grouping

[tex]2x(x+6) -7(x+6)[/tex]

5. Perform the last factorization

[tex](2x-7)(x+6)[/tex]

Answer:

the answer is 5 lists

hope this helps

Answer:

I'll set it up and you can finish

Step-by-step explanation:

the axis of symmetry goes through th x-axis at x=4.

This point will be equidistant from both points that are at the x-intercepts. The distance from (-6,0) to (4,0) is

4 - (-6) = 10.

so I now you can find ? which will be in the first quadrant of the graph

Answer:

I don't think there's enough information here to answer your question

Answer:

(-5 , 6)

Step-by-step explanation:

f(x) = (x - (-5))² - 3     ... vertex (h , k) : (-5 , -3)     y = (x-h)² + k

g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6

vertex of g(x) is : (-5 , 6)

Therefore , the solution of the given problem of slope comes out to be  

M = 1/2.

What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient. The slant is the proportion of both the vertical difference (rise) over the distance between two locations to the lateral change (run) over the same distance. Hill form of an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b equals a, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c.

Here,

Given : (0,-3) and (-2,-4)

Thus,

To calculate the slope ,

We use formula:

=> M = y2 -y1 /x2-x1

=> M = -4 -(-3) / -2 - 0

=> M = -1 /-2

=> M = 1/2

Therefore , the solution of the given problem of slope comes out to be  

M = 1/2.

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Answer:

B. at the mall

Step-by-step explanation:

The largest angle formed during his trip is at the mall.

We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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Answer:

you would multiply 17% by  228,000

Step-by-step explanation:

you would get 177840

Answer:

2-6

3-9

5-15

6-18

2-6

4-12

5-15

8-24

Step-by-step explanation:

Multiply by 3

Answer:

s = 11.cm

Θ = 2.2.radians

Step-by-step explanation:

54 individuals take the bus while the remaining 74 seventh graders ride in vans for the field trip.

A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x. This statement is written as x/2 + 6 in a mathematical expression.

given

To find P P, divide P

P by the total number of participants (students and chaperones), which is 81.

Seventh graders totaling 81 - 7 =

74 participated in the field trip.

54 individuals take the bus while the remaining 74 seventh graders ride in vans for the field trip.

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Answer:

AB=6

Step-by-step explanation:

Answer:

AB = 6

Step-by-step explanation:

12 / 2 = 6

Answer:

D (4.34,3.22)

Step-by-step explanation:

Line Y (2,4), (-4,6)

**y=mx+b   slope-intercept form

  m=slope; b=y-intercept

[tex]m_Y=(6-4)/(-4-2)=2/-6=(-1/3)\\y=-1/3x+b[/tex]

plug in 1 point

[tex]4=-1/3(2)+b; b=14/3[/tex]

Line Z (8,8) (-5,9)

[tex]m_Z=(8-(-9))/(8-(-5))=17/3\\y=(17/3)x+b\\8=17/3(8)+b; b=-32/13\\[/tex]

Substitution

[tex]-\frac{1}{3} x +\frac{14}{3}=\frac{17}{13}x-\frac{32}{13} : x=139/32\\y=-\frac{1}{3}(\frac{139}{32})+\frac{14}{3}\\ : y=103/32[/tex]

Yes, there is an association between the state and the amount of median debt for graduates.

Median debt is the midpoint of a range of debt levels for a specific group of people or organizations. This debt is usually reported as the sum of all loans and credit card balances owed by the group, divided by the total number of people or organizations in the group. Median debt is different from average debt, as it is not affected by extreme values. Median debt is a good measure of the financial health of a group because it provides an indication of the typical amount of debt held by an individual or organization.

In California, the median debt for graduates is significantly lower than in New York, with 130 graduates having median debt less than $9,000 and 445 graduates having median debt at least $9,000. In New York, 72 graduates have median debt less than $9,000 and 271 graduates have median debt at least $9,000. This indicates that graduates from California universities are more likely to have lower median debt than graduates from New York universities.

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Answer:

I believe it is 27.6

Step-by-step explanation:

I'm not really sure, I just multiplied. Hope this helps.

Answer: B. 9(−7+10x^2)

Step-by-step explanation: 9(−7+10x^2)

=(9)(−7+10x^2)

=(9)(−7)+(9)(10x^2)

=−63+90x^2

There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.

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Answer:

9 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

21.75

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-6+(-2)

-6 - 2

= -8

-8

6+2=8

Then make it negative

Therefore the answer is -8

Mark me brainliest

Answer:

The answer is the square root of 53, or about 7.28.

Step-by-step explanation:

To find the distance between two points, you use the formula [tex]\frac{y_{2} -x_{2}}{y_{1} -x_{1} }[/tex]. When we insert the coordinates given, you get the square root of 53, or 7.28.

Answer:

62 [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Answer: $41.3

Step-by-step explanation:

this month late = 158 - 40 = 118

7× $0.05 = $0.35

118 × $0.35 = $41.3

The pairs of alternate interior angles are <5<4 and <6<3

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Answer:

look at the picture I sent

Answer:

56=78b

Step-by-step explanation:

The vertices of quadrilateral MNPQ are M(28, 1), N(3, 4), P(7, 21), and Q(24, 24).

a. The coordinates of M' are (16,4) after a translation. State the translation rule.

b. Use GeoGebra to complete a 90° rotation around the origin