Substitution and to solve

Answer:

d

Step-by-step explanation:

Length of base of isosceles triangle, x = 7

Step-by-step explanation:

Length of one leg = 3x - 4. Since two sides, other than the base of an isosceles triangle are equal, the length of the other leg = 3x - 4.

⇒ 41 = x + (3x - 4) + (3x - 4) = x + 2(3x - 4)

⇒ 41 = x + 6x - 8

⇒ 41 = 7x - 8

⇒ 49 = 7x

⇒ x = 7

Answer:

7

Step-by-step explanation:

Answer:

3x + 7y = 21

Step-by-step explanation:

We have value of two points (0,3) and (7,0)

First, let's find the slope of this line. The formula for slope is:

Change in y/Change in x or (y₂ - y₁)/(x₂-x₁)

Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0

(y₂ - y₁)/(x₂-x₁)

= (0-3)/(7-0)

=-3/7

Now we can write the equation in point-slope form:

y-y₁ = m(x-x₁)

y - 3 = -3/7(x-0)

y-3=-3x/7

y=-3x/7 + 3

Now let's convert this to standard form, by making the y-intercept by itself:

Ax + By = C

y=-3x/7 + 3

Multiply through by 7

7(y) = 7(-3x/7) + 7(3)

7y = -3x + 21

3x + 7y = 21

Answer:

$99.10

Step-by-step explanation:

Answer:

$99.10

Step-by-step explanation:

you would divide the $148.65 by the 3 days and get $49.55. then you would multiply that by the 2 and get your awnser.

The solutions to the quadratic equation 2x^2 - 8x + 7 = 0 are x = 2 + √2 / 2 and x = 2 - √2 / 2 using the quadratic formula.

To solve the equation 2x2 - 8x + 7 = 0, we will use the quadratic formula, where 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a'. The coefficients in this case are a = 2, b = -8, and c = 7.

First, we calculate the discriminant, which is b2 - 4ac. Substituting our values we get:

(-8)2 - 4(2)(7) = 64 - 56 = 8.

The square root of 8 can be simplified to 2√2, because 8 = 4 × 2 and √4 = 2.

Finally, we substitute the values into the quadratic formula:

x = (-(-8) ± √8) / (2 × 2)

x = (8 ± 2√2) / 4

Dividing each term by 4 gives us:

x = 2 ± √2 / 2

Therefore, the solutions to the equation are:

x = 2 + √2 / 2 and x = 2 - √2 / 2

Answer:

c) 2/5

Step-by-step explanation:

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Final answer:

The choice that is NOT equal to the others is C) 2/5, because it is the only positive fraction, while the others represent the negative fraction − 2/5.

Explanation:

The student's question asks which of the given choices is NOT equal to the others. The choices provided include A) − 2/5, B) − 2/5, C) 2/5, and D) 2/ −5. To find the answer, we must compare the values.

Options A and B are the same, which is − 2/5 or negative two-fifths. Option D, which is 2/−5, simplifies to − 2/5 because division by a negative number yields a negative result, making it equivalent to options A and B. However, option C is the only one that is different because it is 2/5, which is positive two-fifths, not negative. Therefore, the answer is C) 2/5 as it is not equal to the other options, which are all negative two-fifths.

Answer:

12. Pentagon

13. The cross-section will have one pair of parallel sides and one pair of sides that are not parallel along with two opposite triangular faces.

Yo sup??

This question can be solved by multiplying the numerator and denominator by 3^1/2

and the answer u will get will be

5*3^1/2-6^1/2)/3

Hope this helps

The ordered pair is (-2, -3)

Step-by-step explanation:

(-3, -2) ⇒ 7 × -3 - 5 × -2 = -21 + 10 = -11 ≠ 1

(-2, -3) ⇒ 7 × -2 - 5 × -3 = -14 + 15 = 1

(0, 4) ⇒ 0 - 5 × 4 = 20 ≠ 1

(4, 0) ⇒ 7 × 4 - 0 = 28 ≠ 1

So the ordered pair is (-2, -3)

The ordered pair that is a solution to the equation 7x-5y=1 is option B, (-2,-3), as it is the only pair that satisfies the equation when the values are substituted.

The question asks which ordered pair is a solution to the equation 7x-5y=1. To find the solution, we simply substitute the x and y values from each ordered pair into the equation and see which pair satisfies the equation.

So, the ordered pair that is a solution to the equation is option B, (-2,-3).

Answer:

See explanation

Step-by-step explanation:

PQRS is a parallelogram, then

[tex]PQ\parallel RS\\ \\QR\parallel SP[/tex]

and

[tex]PQ\cong RS\\ \\QR\cong SP[/tex]

Also

[tex]\angle P\cong \angle R\\ \\\angle Q\cong \angle S[/tex]

1. Consider triangles PQA and RQA, where A is the diagonals intersection point. In these triangles,

[tex]QA\cong QA\ [\text{Reflexive property}][/tex]

[tex]\angle PQA\cong \angle RQA\ [\text{Because QS is angle bisector}][/tex]

[tex]\angle QPA\cong \angle QRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]

Hence, by AAS postulate triangles PQA and RQA are congruent. Congruent triangles have congruent corresponding parts, so

[tex]PQ\cong RQ[/tex]

2. Consider triangles PSA and RSA. In these triangles

[tex]SA\cong SA\ [\text{Reflexive property}][/tex]

[tex]\angle PSA\cong \angle RSA\ [\text{Because QS is angle bisector}][/tex]

[tex]\angle SPA\cong \angle SRA\ [\text{Diagonal PR divides congruent angles in congruent halves}][/tex]

Hence, by AAS postulate triangles PSA and RSA are congruent. Congruent triangles have congruent corresponding parts, so

[tex]PS\cong RS[/tex]

3. Since [tex]PQ\cong RS[/tex] and [tex]PQ\cong RQ[/tex], you have [tex]RS\cong RQ[/tex]

Therefore,

[tex]PQ\cong QR\cong RS\cong SP[/tex]

Parallelogram with all congruent sides ia a rhombus.

The right answer is Option C.

Step-by-step explanation:

Given,

Area of post it note = A square inches

Width of post it note = 4 inches

Length of post it note = X

We know that;

Area = Length * Width

[tex]A=X*4\\A=4X[/tex]

As we have to find length, we will divide both sides by 4

[tex]\frac{A}{4}=\frac{4X}{4}\\\\\frac{A}{4}=X\\\\X=\frac{A}{4}[/tex]

The equation [tex]X=\frac{A}{4}[/tex] represents the length of post it notes in inches.

The right answer is Option C.

Keywords: area, multiplication

Learn more about areas at:

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Answer:  The Area of this shape is 32.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 1/2 ×(a+b)h

a = 4, b = 12, h = 4

Area = 1/2 × (4+12)4

Area = 2(16)

Area = 32square unit

Answer:

X=7

Y=10

Step-by-step explanation:

Replace expression Y=2x-4 in 17x + 36y = 479

Now, replace X=7 in expression Y=2x-4

Answer:

117 and 123.

Step-by-step explanation:

If the 2 numbers are x and y we have the system of equations:

x - y = 6

xy = 14391

From the first equation y = X - 6  so substituting:

x(x - 6) = 14391

x^2 - 6x= 14391

x^2 - 6x - 14391 = 0

The prime factors of -13491  are -3*3*3*13*41

Now  3*3*13 = 117 and -3 * 41 = -123,

so the factors are:

(x - 123)(x + 117) = 0.

x = 123, -117.

As x is a whole number we take the positive value 123.

So x = 123  and y = 123 - 6 = 117.

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

[tex]y = 300 - 4x -x^2[/tex]

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

[tex]160 = 300 - 4x -x^2\\x^2 + 4x - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14[/tex]

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

Step-by-step explanation:

We have,

f(x) = (x + 9)(x − 4)(6x + 1)

To find, all zeroes of the given equation = ?

∴ f(x) = (x + 9)(x − 4)(6x + 1)

⇒ (x + 9)(x − 4)(6x + 1) = 0

⇒ x + 9 = 0 or, x − 4 = 0 or, 6x + 1 = 0

⇒ x + 9 = 0 ⇒  x = - 9

⇒ x − 4 = 0 ⇒ x = 4

⇒ 6x + 1 = 0

⇒ 6x = - 1

⇒ x = [tex]\dfrac{-1}{6}[/tex]

∴ x = - 9 , [tex]\dfrac{-1}{6}[/tex], 4

Thus, the required 'option a)  - 9 , [tex]\dfrac{-1}{6}[/tex], 4' is correct.

Final answer:

To find the zeros of the function f(x) = (x + 9)(x − 4)(6x + 1), we solve for x in each factor: x = -9, x = 4, and x = -1/6, which means the zeros are -9, 4, and -1/6.

Explanation:

To identify the zeros of a function, you need to find the values of x for which the whole expression equals zero. The function given is f(x) = (x + 9)(x − 4)(6x + 1). To find the zeros, we set each factor equal to zero and solve for x.

(x + 9) = 0 → x = -9

(x − 4) = 0 → x = 4

(6x + 1) = 0 → 6x = -1 → x = -1/6

Therefore, the zeros of the function are -9, 4, and -1/6.

Answer:

vertex = (9, - 1 )

Step-by-step explanation:

Given a quadratic in standard form, y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 18x + 80 ← is in standard form

with a = 1 and b = - 18, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-18}{2}[/tex] = 9

Substitute x = 9 into the function for corresponding value of y

y = 9² - 18(9) + 80 = 81 - 162 + 80 = - 1

Vertex = (9, - 1 )

Answer:

12² + 16² = 144 + 256 = 400 = 20²

So a triangle with side lengths of 12 in., 16 in., and 24 in. is not a right triangle.

The correct answer is False.

Answer:

Emma = 378 votes

Step-by-step explanation:

Carol = 189 votes

Emma = 2 * Carol

Substitute 189 in for Carol

Emma = 2 * 189

Emma = 378 votes

Hope this helps :)

Answer:

378

Step-by-step explanation:

you just had to multiply 189 by 2. Since twice means 2

The response to the riddle " why did the school cook become a history teacher" is  she was a expert in Acient grease

What is the riddle?

The riddle is based on history, and it should be noted that in term of history, ancient grease can not be underestimated because they have been existing since time past.

The city-states of ancient Greece were autonomous, however occasionally some would join alliances and hegemonies and serve a more powerful city. Greece was merely a small component of Alexander the Great's empire when it was founded—albeit for a very short time.

Answer:

Step-by-step explanation:

let P represent the perimeter of the rectangle

P = 2×(12 + 18) = 2×(30) = 60 m

then

the number of shrubs = 3×(60) = 180

2([tex]\frac{2}{5}[/tex]x + 4) =  [tex]\frac{4}{5}[/tex]x + 4 which is the second option is the equivalent expression.

Explanation:

First,  we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to [tex]\frac{2}{5}[/tex]x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 ([tex]\frac{2}{5}[/tex]x + 2) = [tex]\frac{4}{5}[/tex]x + 4.

2)  (two-fifths x + 4) = 2([tex]\frac{2}{5}[/tex]x + 4) =  [tex]\frac{4}{5}[/tex]x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2[tex]\frac{2}{5}[/tex]x + 1

2) Four-fifths x + 4 = [tex]\frac{4}{5}[/tex]x + 4

3) Four-fifths x + 2 = [tex]\frac{4}{5}[/tex]x + 2

4) Two and two-fifths x + 8 = 2[tex]\frac{2}{5}[/tex]x + 8.

Out of the various LHS and RHS values, the [tex]1^{st}[/tex] LHS value and [tex]2^{nd}[/tex] RHS value is the same. So option 2 is the answer.

Answer:

second option

Step-by-step explanation:

Answer:

Step-by-step explanation:

20

Answer:

Scale factor = 5:8

Step-by-step explanation:

Step 1:  Write out as a scale

10cm : 16cm

Step 2:  Simplify

10 / 2 : 16 / 2

5:8

Answer:  Scale factor = 5:8

Answer:

12

Step-by-step explanation:

The given geometric series is

[tex] \sum_{n = 1}^{ \infty} 12( { - \frac{1}{9} })^{n - 1} [/tex]

We want to determine the first term of this geometric series.

Recall that the explicit formula is

[tex] a_{n} = 12( { - \frac{1}{9} })^{n - 1} [/tex]

To find the first term, we put n=1 to get:

[tex]a_{1} = 12( { - \frac{1}{9} })^{1 - 1} [/tex]

This gives us:

[tex]a_{1} = 12( { - \frac{1}{9} })^{0}[/tex]

[tex]a_{1} = 12(1) = 12[/tex]

Therefore the first term is 12

Answer:

12

Step-by-step explanation:

The last option, C is the answer. I just took the quiz :D

Answer:

The correct option would be option D.) The retailer sent the customer a check for $12.50 directly.

Step-by-step explanation:

A customer bought an item from a retailer and eventually received a $12.50

rebate check in the mail after sending in a rebate form.

The transaction that occurred would be

D.)The retailer sent the customer a check for $12.50 directly

Answer:

the manufacturer of the item sent the customer a check for 12.50 directly.

Step-by-step explanation:

a) So we know the formula of finding the circumference: 2*pi*R.

Assuming we make pi = 3.14:     2 * 3.14 * 7 = 43.96.

b) We also know the formula of finding the area: pi * r^2.

3.14 * 7^2. Using PEMDAS:

3.14 * 49 = 153.86

Answer:

58.5%

Step-by-step explanation:

Sales tax in Ontario = 13%

If you paid $450 on food

Tax = 13%/100% x 450

= 0.13 x 450

=58.5%

Answer: the answe is b

Step-by-step explanation:

The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.

A dot plot is a method of visually representing expectations for some data series. A dot plot visually groups the number of data points in a data set based on the value of each point.

2 dot plots with number lines going from 0 to 10.

A dot plot titled fifth grade has 0 dots above 0, 2 above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, and 0 and 9 and 10.

A dot plot titled seventh grade has 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.

statement correctly compares the shape of the data in the plots

The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.

Learn more about dotplot:

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