If-5x + 4y = -3 is a true equation, what would be the value of
-6(-5x+4y)?

Answer:

x = 0 , x = 9

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x(x - 9) = 0

equate each factor to zero and solve for x

x = 0

x - 9 = 0 ⇒ x = 9

Answer:

The X-intercepts are 0,0 and 9,0

Answer

B

Step-by-step explanation:

The solution to the equation by completing the square is (6 - √21, 6 + √21)

The equation is given as:

x²= 12x-15

Rewrite as:

x² -12x = -15

Take the coefficient of x

k = -12

Divide by 2

k/2 = -6

Square both sides

k/4 = 36

Add 36 to both sides of x² -12x = -15

x² -12x + 36 = -15 + 36

Evaluate the sum

x² -12x + 36 = 21

Express the equation as a perfect square

(x - 6)² = 21

Take the square root of both sides

x - 6 = ±√21

Add 6 to both sides

x = 6 ± √21

Split

x = (6 - √21, 6 + √21)

Hence, the solution to the equation by completing the square is (6 - √21, 6 + √21)

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Answer:

70 cm^3; 1000 cm^3; 343 cm^3; 30 cm^3; 48 cm^3

Step-by-step explanation:

to find the volume to all of these shapes you can just multiply all the sides together

one looks like this

2 * 5 * 7 = 70

70 is the answer for the first one

you repeat this 4 more times

since a cube has all equal sides for 2 and 3 you can just cube your side length

10^3 = 1000

7^3 = 343

afterwards since they are all just rectangular prisms you can just multiply all the sides together

1 * 5 * 6 = 30

4 * 6 * 2 = 48

those are your answers

dont forget to add ^3 behind the cm

Step-by-step explanation:

70cm kr 5ko 12m y x W L H V

ksk

The number of guests coming to Doug McDougal party can be calculated to be 23 people.

Doug invited 138 guests and out of this, only 1/6 will be coming.

The number of people coming is therefore:

= Number invited x Proportion coming

Solving gives:

= 138 x 1/6

= 23 people

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Answer:

the answer is yuo 4utvnjj

Answer:

Step-by-step explanation

Answer= 224

x=224

190x20=3,800/17=223.529412 (make sure to round up)

224

The value of the product [tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex] is [tex]\frac{4y}{y + 3}[/tex]

The product expression is given as:

[tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex]

Factorize each factor of the expression

[tex]\frac{2y}{y -3} \times \frac{4(y - 3)}{2(y + 3)}[/tex]

Cancel the common factors

[tex]\frac{y}{1} \times \frac{4}{y + 3}[/tex]

Evaluate the product

[tex]\frac{4y}{y + 3}[/tex]

Hence, the value of the product [tex]\frac{2y}{y -3} \times \frac{4y - 12}{2y + 6}[/tex] is [tex]\frac{4y}{y + 3}[/tex]

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Answer:

4y/y+3

Step-by-step explanation:

edge 2022

The value of x in the equation is -4.92

The equation is given as:

12x + 59 = 0

Add -59 to both sides of the equation

12x = -59

Divide by 12

x = -59/12

Evaluate

x = -4.92

Hence, the value of x in the equation is -4.92

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[tex]x^2-12x+59=0\\x^2-12x+36+23=0\\(x-6)^2=-23\\x\in\emptyset[/tex]

Answer:

c

Step-by-step explanation:

work out the average for the data below

Answer:

B. Cell Wall

unlike animal cells, plant cells have walls instead of just membranes

Answer:

b cell wall

Step-by-step explanation:

Step-by-step explanation:

the answer is true

the statement is true

The area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

The question is incomplete.

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

The area of part 1 = 5√2×3 = 15√2 square in

The area of the part 2 = 5√2×3√2 = 15×2 = 30 square in

The area of the entire rectangle = area of part 1 + area of part 2

= (15√2 + 30) square in or

= (30 + 15√2) square in

Thus, the area of part 1 is 15√2 square in, the area of part 2 is 30 square in, and the area of the entire rectangle is (30 + 15√2) square in.

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Answer:

D

Step-by-step explanation:

are the same length and intersect at different angles

In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In a circle H with a measure of angle ∠GKJ = 27°.

Then the measure of angle ∠GHJ will be

We know that a chord's slope in the centre is double that of the chord's slope at the perimeter.

Then we have

∠GHJ = 2 x ∠GKJ

∠GHJ = 2 x 27°

∠GHJ = 54°

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Answer:

Step-by-step explanation:

x⁴ + 4y⁴

In order to factorize it, follow the steps:

Used identities:

Answer:

y = - x

Step-by-step explanation:

From the given table:-

( x_1,x_2): (5,-5)

( y_1,y_2): (6,-6)

1) Let's find the slope (m):-

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1[/tex]

2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)

[tex]y - ( - 5) = - 1(x - 5)[/tex]

[tex]y + 5 = - x + 5[/tex]

[tex]y = - x + 5 - 5[/tex]

[tex]y = - x[/tex]

A circle is a curve sketched out by a point moving in a plane. The diameter of the circular poll is 12 inches. Thus, the correct option is A.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The area of a circle is given as πR², where r is the radius of the circle. Since the area of the pool is 113 sq. inches, therefore, the radius of the circle will be,

Area of pool = πR²

113 sq. inches. = πR²

113/π = R²

R = √35.9690

R = 5.9974 ≈ 6 inches

Now, since the diameter of a circle is twice the radius of the circle, therefore, the diameter of the circle will be,

Diameter of the circle = 2 × 6 inches = 12 inches

Hence, the diameter of the circular poll is 12 inches. Thus, the correct option is A.

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Answer:

a. 12 inches

Step-by-step explanation:

113 ÷ 3.14 = 35.98726114649682

2√35.98726114649682 = 5.998938334947011

5.998938334947011 x 2 = 11.99787666989402

keyword approximate ;)

Answer:

sorting, predict, data, access, divisor, sampling

Step-by-step explanation:

Step-by-step explanation:

it is a rectangle !

a straight road and its width.

so, the area is (as for any other rectangle)

length×width

in our case

1.4 km × 0.04 km = 0.056 km²

Answer:

Area formula= length x width

length of road= 1.4 km

width of road= 0.04 km

Area= 1.4 x 0.04

= 0.056 km

Answer:

6, 8, 10

Step-by-step explanation:

Where:

a = 6

b = 8

c = 10

Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]

[tex]6^2 + 8^2 = c^2[/tex]

[tex]36 + 64 = c^2[/tex]

[tex]100 = c^2[/tex]

c = [tex]\sqrt{100}[/tex]

c = 10

1. Disregard my comment. Since R is said to be a relation from A to B, we take both a ∈ A and b ∈ A. Then the set R is the pairs (a, b) whose entries' sum belongs to B.

We have

• 4 = 1 + 3 = 2 + 2 = 3 + 1, so R contains (1, 3), (2, 2), and (3, 1)

• 5 = 1 + 4 = 2 + 3 = 3 + 2 = 4 + 1, so R contains (1, 4), (2, 3), (3, 2), and (4, 1)

• 6 = 1 + 5 = 2 + 4 = … = 5 + 1, so R contains (1, 5), (2, 4), …, (5, 1)

Then

R = {(1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4),

…     (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

2. The domain of R is the set of all values a in the pairs (a, b) belonging to R :

dom(R) = {1, 2, 3, 4, 5}

3. The range of R is the set of all values b in those same pairs:

range(R) = {1, 2, 3, 4, 5}

4. The inverse of R is the set with the same elements as R, but the entries are swapped:

inv(R) = {(3, 1), (4, 1), (5, 1), (2, 2), (3, 2), (4, 2),

…            (1, 3), (3, 2), (3, 3), (1, 4), (2, 4), (1, 5)}

In this case, we have R = inv(R).

All the numbers follow a pattern of division by 2

Therefore the next number is 3/2 which is equal to 1.5

Answer:

[tex]\sqrt 2[/tex]

Step-by-step explanation:

[tex]f(x) = 1-x\\\\|f(i)| = |1-i| = \sqrt{1^2 +1^2 } =\sqrt 2[/tex]

Answer:

The answer would be 30 feet^2.

Step-by-step explanation:

The formula for the area of a triangle is [tex]\frac{bh}{2}[/tex]. The base and height are 15 and 4, turning the equation into [tex]\frac{15(4)}{2}[/tex]. 15 times 4 is equal to 60 and 60 divided by 2 is equal to 30, getting you your answer of 30 feet^2. I hope this helps! :)

The Dimension of the Cylinder:    Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Trailer bed dimension = 1.5 m X 1.5 m

  So, height of the cylindrical = 1.5 m

         Radius = 1.5/2 = 0.75 m

Now, Volume of Cylinder = πr²h

                                          = 3.14 X (0.75)²X1.5

                                          = 2.649 m³

Surface area of cylinder = 2πrh + 2πr²

                                        = 2πr (h + r)

                                       = 2 X 3.14 X 0.75 ( 1.5 + 0.75)

                                       = 10.59 m²

Thus, The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

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The equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]

The logarithmic equation is given as

Log_8(5x+4)=3x-4

Rewrite properly as:

[tex]\log_8(5x+4)=3x-4[/tex]

Apply the following law of logarithm

[tex]\log_a(b) = x \to a = b^x[/tex]

So, we have:

[tex]5x + 4 = 8^{3x - 4}[/tex]

Hence, the equivalent equation of the logarithmic equation is [tex]5x + 4 = 8^{3x - 4}[/tex]

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Answer:

[tex]x= -\dfrac {9}2 +\dfrac{\sqrt{57}}{2},~~x = -\dfrac {9}2 - \dfrac{\sqrt{57}}{2}[/tex]

Step-by-step explanation:

[tex]~~~~~~~x^2 +9x +12 = 6\\\\\implies x^2 +9x = 6-12\\\\\implies x^2 +9x = -6\\\\\implies x^2 +2 \cdot \dfrac 92 \cdot x +\left(\dfrac 92\right)^2 -\left( \dfrac 92 \right)^2 = -6\\\\\implies \left(x+ \dfrac 92 \right)^2 -\dfrac{81}{4}= -6\\\\\implies \left(x +\dfrac 92 \right)^2 = -6 + \dfrac{81}4\\\\\implies \left(x + \dfrac92 \right)^2 = \dfrac{57}{4}\\\\\implies x+ \dfrac 92 = \pm\sqrt{\dfrac{57}4}\\\\\implies x = -\dfrac {9}2 \pm\dfrac{\sqrt{57}}{2}[/tex]