please help!!!!!!!
picture below

Step-by-step explanation:

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[tex]\text{Let's factor this quadratic.}\\\text{ We can start by thinking of two numbers such that,}\\\text{ if they are multiplied together, the product is 9}\\\text{if they're added together, the sum is -10, the middle term.}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{These numbers are -9 and -1.}\\\text{Checkup::}\\\text{-9*(-1)=9 and -9+(-1)=-10. The answer is good}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{Now, write these numbers as factors::}\\\text{(x-9)(x-1)=0 (make sure that the equation is \textbf{set to zero})}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{Now we can solve these mini equations in terms of x::}\\\text{x-9=0; \, x=9}\\\text{x-1=0; x=1}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{Our factors are:: \textsl{9 and 1}}[/tex]

Answer:

x=1

Step-by-step explanation:

Answer:

x = 37

Step-by-step explanation:

A straight angle is 180 degrees. That means ∠DFG & ∠EFG have to add together to be 180.

2x + 6 + 3x - 11 = 180     Combine like terms

5x - 5 = 180                   Add 5 to both sides

5x = 185                         Divide by 5

x = 37

∠DFG = 80°

∠EFG = 100°

Answer:

think of each T in the original equation as an empty box, like this:

P(   ) = 2(   )² + (   ) - 7

when it says p(some number), it means replace all Ts in the equation with that number.

P( 0 ) = 2( 0 )² + ( 0 ) - 7 = 0 + 0 - 7 = -7

do the same for the rest <:)

for the second part, it's the same concept: every T is replaced with what's inside the parentheses.

so P( -t ) = 2( -t )² + ( -t ) - 7 = 2t² - t - 7

and so on and so forth.

Angle DAB will be equal to angle CAB

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

AC is a straight line and forms one of the sides of the triangle ABC. If point D is placed on line AC, angle DAB would remain equal to angle CAB since they are on the same line the angle formed with line AB remains the same.

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Answer:

Option C: 41

Step-by-step explanation:

<ABD+<CBD=90

<ABD=8x+1

<CBD=6x+5

(8x+1)+(6x+5)=90

Combine like terms

(8x+6x)+(1+5)=90

14x+6=90

14x=90-6

14x=84

divide both sides by 14

x=6

Now we plug that value into <DBC = 6x+5

6(6)+5=

36+5

41

Let's take this problem step by step:

∠ABC is 90 degrees

 ⇒ made up of two angles ⇒ ∠ABD and ∠DBC

     ⇒ in mathematical equation form:

            [tex]ABD + DBC= ABC[/tex]

Since ∠ABD = 8x + 1 and ∠DBC = 6x+5

    [tex]8x + 1+6x + 5=90\\14x+6=90\\14x=84\\x=6[/tex]

Let's plug it into ∠DBC = 6x+5

  ∠DBC = 6x+5 = 6(6)+5=41

Answer: ∠DBC = 41

Hope that helps!

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The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.

An equation is an expression that shows the relationship between two or more variables and numbers.

Slope of roof = ratio of rise to run = rise / run = 9/12 = 3/4

If the brace is placed 8 ft from the low end of the roof, hence:

height of brace = slope * 8 = 3/4 * 8 = 6 ft

The height of a vertical brace placed 8 ft from the low end of the roof is 6 feet.

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The height of the base will be 15 cm. The candy bar has a 2400 cubic centimeter box with a triangular prism form to it.

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The complete question is;

"A candy bar is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters.  It is shown with a base of the triangle labeled 16 cm, the sides of triangles labeled 17 cm, and the length of the box equal to 20 cm. what is the height of the base triangular prism"

The volume of the triangular prism;

[tex]\rm V = \frac{1}{2}\times b \times h\times l\\\\ 2400 \ cm^3 = \frac{1}{2}\times 16 \ cm \times h\times 20 \ cm \\\\ h = 15 \ cm[/tex]

Hence, the height of the base will be 15 cm.

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Step-by-step explanation:

2/5 oz. for 1 cup

40 oz for x cups

2/5x = 40

x = 100 cups

The equation of the given sine graph is gotten as; y = 4 sin [(0.4(x + 2.5)] - 1

We know that the  general formula for equation of a sine graph is;

y = A sin [(B(x - D)] + C

where;

A is Amplitude

Period = 2π/B.

Phase Shift = -C/B.

Vertical Shift = D.

From the graph;

A = 4

B = 2π/5π = 2/5

C = -1

D = -5/2

Thus;

y = 4 sin [(0.4(x + 2.5)] - 1

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Using the normal distribution, it is found that the probability that the sample mean is above 80 is of 0.1056 = 10.56%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters are given as follows:

[tex]\mu = 75, \sigma = 24, n = 36, s = \frac{24}{\sqrt{36}} = 4[/tex].

The probability that the sample mean is above 80 is one subtracted by the p-value of Z when X = 80, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{80 - 75}{4}[/tex]

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

1 - 0.8944 = 0.1056.

0.1056 = 10.56% probability that the sample mean is greater than 80.

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Answer:

-31/30, -32/30, -33/30, -45/30, -49/30.

Step-by-step explanation:

-2/3 and -1 make denominators 30

-60/30 and -30/30

put any five

The length of lake is 4500 feet.

A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as △PQR.

Here, In ΔABE and ΔDCE

          ∠ABE = ∠DCE         { each 90⁰ }

          ∠AEB = ∠CED         { vertically opposite angle}

By AA similarity, we get

          ΔABE ≈ ΔDCE

Now, AB/CD = BE/CE

       AB/500 = 1800/200

       AB/500 = 9

        AB = 9 X 500

       AB = 4500 feet.

Thus, the length of lake is 4500 feet.

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Answer:

x + 6

Step-by-step explanation:

consider the x- coordinates of the right angle

x- coordinate of A = - 4

x- coordinate of B = 2

then

| 2 - (- 4) | = | 2 + 4 | = | 6 | = 6

the x- coordinate has been shifted 6 units to the right , so the rule is

x + 6

Answer:

1991.759

Step-by-step explanation:

1810.69×%10=181.069

1810.69+181.069=1991.759

Answer:

।बवछॅनछॅठै रटटृ रटटृरटॅलठट

A rise of 8 and a run of 6. Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space.

On a coordinate plane, a right triangle has points A (-5, -6), B (-5, -2), and C (-2, -2).

The distance between AB will be

AB² = (-5 + 5)² + (-2 + 4)²

AB² = 4²

AB = 4

The distance between BC will be

BC² = (-2 + 5)² + (-2 + 2)²

BC² = 3²

 BC = 3

Then the rise and run will be

rise / run = 4 / 3

Then this can be written as

rise / run = 8 / 6

Then the correct option is B.

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The object moves 2 units to the left and then 3 units up.

Translation is a transformation technique used to change the position of an object on the xy-plane.

Given the translation vector (-2, 3), this translation shows a movement of an object to the left by 2units and 3 units in the upward direction

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Answers + Step-by-step explanation :

a) the equation should be:
7(n + 5) = 91 since you first add 5 to n and then multiply it by 7. The answer is 91 so that is on the other side of the equal sign

b) we can solve our equation to find for n, the number jim thought of

7(n + 5) = 91
I will use the distributive property.

7n + 35 = 91

Subtract 35 on both sides

7n = 56

Now divide 7 on both sides to find n

n = 8

The number Jim was thinking of was 8! this should be correct, hope this helps!

Answer:

x=9

y=?

36= 1/2(x*y)

36 *2 = 2* 1/2 (9*y)

72 = 9*y

72/9= 9*y/9

8=y

The other number is 8.

Answer:

35

Step-by-step explanation:

Percent= (part ÷ whole)x100=21/60x100=(0.35)x100=35%

Answer:

A) There are two complex solutions.

Step-by-step explanation:

To know how many solutions a quadratic equation has, calculate the discriminant of the equation.

discriminant = b² - 4ac              

    where a = coefficient of x²

                b = coefficient of x

                c = constant of equation

if b² - 4ac > 0 , then equation has 2 real roots

if b² - 4ac = 0 , then equation has 1 real, repeated root

if b² - 4ac < 0 , then equation has 2 complex roots

In this case, discriminant = 9² - 4(-2)(-12)

                                          = -15

As -15 < 0, equation has 2 complex roots.

Answer: 140

Step-by-step explanation:

A parallelogram means the sides are parallel, so PQM would have the same angle as MNP since they are opposite, just like NPQ and QMN.

Answer: 140°

Detailed Explanation with Figure:

In a Parallelogram, the Opposite Angles are Equal. Therefore, ∠PQM = ∠MNP, which is equal to 140°.

Here’s the Figure :-

The value of g(1) is 4 because  (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know if the f(x) has inverse function g(x)

Let (x, y) satisfy the function f(x) then (y, x) must satify the function g(x)

f(x) has ordered pair = (4, 1)

Then g(x) has (1, 4)

g(1) = 4

Thus, the value of g(1) is 4 because  (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.

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Answer:

c

Step-by-step explanation:

Answer:

8 feet

Step-by-step explanation:

you have to calculate :(19+2x)(6+2x)=770

you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS

Answer:

[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex]  or  [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]

Step-by-step explanation:

So first you need to find the area of the swimming pool:

19*6 = 114

Next you add the area of the swimming pool and the area of the walkway:

114 + 770 = 884

After this you solve for x using this equation:

(19 +2x) * (6 + 2x) = 884

This would normally find the area of the whole swimming pool area and the walkway but because we know that we can use it to solve for x.

The step-by-step is this:

[tex]4x^{2} +50x+114=884[/tex]

[tex]4x^2+50x+114-884=884-884[/tex]

 [tex]4x^2+50x+114-884=0[/tex]

Now we'll use the quadratic formula to simplify it farther:

[tex]x= \frac{-(50) + \sqrt{(50)^2-4(4)(-770)} }{2(4)}[/tex]

[tex]x=\frac{-50 + or - \sqrt{14820} }{8}[/tex]

[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex] or [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]