Solve the equation.

2 ( 4z - 1) = 3(z+2)

Z=

Answer:

3

Step-by-step explanation:

2(7y−1)=40

14y-2=40

14y=40+2

14y=42

y=3

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Answer:

[tex]\huge\boxed{157 \ \ \text{degrees}}[/tex]

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

[tex]23 + x = 90\\\\x = 90-23\\\\x = 67[/tex]

Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

[tex]90+67=157[/tex]

Hope this helped!

Answer:

its 60. u gotta know this stuff man

Answer:

d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]

The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The distance between each pair of points (-1,4) and (1,-1)

Two points are (-1, 4) and (1, -1)

To find the distance between the above two points using the distance formula:

[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]

[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division

d = √[(2)² + (-5)²]

d = √(4 + 25)

d = √29 units

Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

Learn more about the distance formula here:

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Answer:

Constanza ocupará, como mínimo, para forrar la caja:

1350 cm²

para forrar la caja

Step-by-step explanation:

En un cubo cada una de las aristas que lo conforman miden lo mismo.

Un cubo tiene 6 caras.

La formula del área del área de las 6 caras del cubo es:

área total del cubo = a = 6*arista²

en este caso:

a = 6*(15cm)²

a = 6 * 225 cm²

a = 1350 cm²

Answer:1350 cm²

Step-by-step explanation:idfk

Answer:

28.8mm

hope this helped you

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Answer:

the answer is 1 whole and 1/2

Step-by-step explanation:

1 and 1/2

Consecutive odd numbers are two apart (5, 7, 9, 11...). So given an odd integer, we can add 2 to get the next odd integer.

If the first odd integer is y, then the first 4 odd integers are

y

y+2

y+4

y+6

These add up to 4y+12

The sum of the first four classroom numbers in a row is 4y+12.

It is required to find the sum of the first four classroom numbers in a row.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Since the smallest classroom​ number on the side of the building is numbered y ​ and each consecutive even integers is separated by a difference of  2.

∴

y is the first class room.

y +  2  is the second class room.

y +  4  is the third class room.

y + 6 is the third class room.

The sum of the five consecutive class rooms are given as:

y + (y + 2) + (y+ 4) + (y + 6)

collecting alike terms we get

= y + y+ y+ y + 2 + 4 + 6

= 4y + 12

Therefore, the sum of the first four classroom numbers in a row is 4y+12.

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Answer:

Step-by-step explanation:

Point B is between points A and C and points A, B, C are collinear so

AB + BC = AC

x-7 + 2x-2 = x + 13

  3x - 9  =  x + 13

      +9           +9

   3x  =  x + 22

   - x       - x

   2x  =  22

BC = 2x - 2 = 22 - 2 = 20

Answer:

Step-by-step explanation:

2x + 5 = 10

2x = 5

x = 2.5

Answer:

Answer: It would cost $9.45

$28.20/188= .15

then .15 times 63=9.45

Answer:

D.) ordered pairs : {(1,-1),(2,0), (3,1)}

Answer:

i. 48%

ii. 220%

iii. 2.5%

The given percentage into fractions.

[tex] \large \purple {\tt {i. \: 48\% = \frac{48}{100} = \frac{12}{25}}} [/tex]

[tex] \large \pink {\tt {ii. \: 220\% = \frac{220}{100} = \frac{11}{5}}} [/tex]

[tex] \large \blue {\tt {iii. \: 2.5\% = \frac{2.5}{100} = \frac{1}{40}}} [/tex]

Answer:

98 was the change in elevation

Step-by-step explanation:

Answer:

-12.25

Step-by-step explanation:

Let's investigate what happens when negative values appear under the radical symbol (as the radicand) for cube roots and square roots.

In some situations, negative numbers under a radical symbol are OK. For example, radnegnew14is not a problem since (-2) • (-2) • (-2) = -8, making the answer -2. In cube root problems, it is possible to multiply a negative value times itself three times and get a negative answer.

Difficulties, however, develop when we look at a problem such as radnegnew214. This square root problem is asking for a number multiplied times itself that will give a product (answer) of -16. There simply is no way to multiply a number times itself and get a negative result. Consider: (4) • (4) = 16 and (-4) • (-4) = 16.

CUBE ROOTS:

radnn1

BUT

SQUARE ROOTS:

n2

Yes, (-2) x (-2) x (-2) = -8.

No problem.

Nope!   (4) x (4) ≠ -16.

Nope!   (-4) x (-4) ≠ -16.

bullet Square roots are the culprits! The difficulties arise when you encounter a negative value under a square root. It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do?

statement

The square root of a negative number does not exist among the set of Real Numbers.

When problems with negatives under a square root first appeared, mathematicians thought that a solution did not exist. They saw equations such as x2 + 1 = 0, and wondered what the solution n3 really meant.

In an effort to address this problem, mathematicians "created" a new number, i, which was referred to as an "imaginary number", since it was not in the set of "Real Numbers". This new number was viewed with much skepticism. The imaginary number first appeared in print in the year 1545.

def The imaginary number "i" is the square root of negative one.

neg i

An imaginary number possesses the unique property that when squared, the result is negative.

irad1

Consider: irad2a

The process of simplifying a radical containing a negative factor is the same as normal radical simplification. The only difference is that the irad4 will be replaced with an "i ".

As research with imaginary numbers continued, it was discovered that they actually filled a gap in mathematics and served a useful purpose. Imaginary numbers are essential to the study of sciences such as electricity, quantum mechanics, vibration analysis, and cartography.

When the imaginary i was combined with the set of Real Numbers, the all encompassing set of Complex Numbers was formed.

Answer:

5.5 = x

Step-by-step explanation:

c(x)=x-2

3.5 = x-2

Add 2 to each side

3.5+2=x-2+2

5.5 = x

Answer:

y = [tex]\frac{3}{5}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 3y = 15 ( subtract 5x from both sides )

3y = - 5x + 15 ( divide all terms by 3 )

y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line

Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

The equation of the line is; 3x - 5y = 10.

By comparison with the equation of a straight line: y = Mx + c

The equation 5x+3y=15 can be rewritten as ;

y = (-5/3)x + 5

Therefore, the slope of the equation is; (-5/3)

The product of the slope of two perpendicular lines is: -1.

therefore m1m2 = -1

Therefore; M2 = -1/(-5/3)

Therefore M2 = 3/5

The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;

3/5 = (y - 1)/(x - 5)

By Cross product;

3x - 15 = 5y -5

Therefore, the equation of the line is;

3x - 5y = 10.

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Answer:

see below

Step-by-step explanation:

Assuming that

Point A is the same as point X

Point B is Point Y

Point C is Point Z

So we have

[tex]X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)[/tex]

the rule for a rotation of 180° is

For 180 degrees, the rule is (a, b) --------> (-a, -b)

so we have

[tex]X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)[/tex]

the rule for reflection across the x axis

(a,b)----->(a,-b)

so we have

[tex]X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)[/tex]

Answer: [tex]-\frac{5}{7}[/tex]

Step-by-step explanation:

To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]

Now we know the slope is [tex]-\frac{5}{7}[/tex].

Answer:

7 weeks

Step-by-step explanation:

Answer: The answer is 3.10

Step-by-step explanation: Fisrt of all you add 25+7 which gives you 32. Add 32 and 55, gives you 87. You need to figure out w and b is 270. So 270 divided by 87 is 3.10. So you need 3.10 weeks.

Answer:

aogswoans skskdme skdbdnshsbemdhdksjdhskd

Answer:

B. False

Hope this helps!

Answer:

Equation: [tex]Height = \frac{75}{Area}[/tex]

Step-by-step explanation:

The question is incomplete as the dimension of the phone was not given.

However, the following explanation will guide you

Given

[tex]Volume = 75\ in^3[/tex]

Required

Determine the Height

Volume is calculated as thus;

[tex]Volume = Area * Height[/tex]

Substitute 75 for Volume

[tex]75= Area * Height[/tex]

Divide through by Area

[tex]Height = \frac{75}{Area}[/tex]

The above represent the equation to solve for Height

To solve for height, we need the dimension of the phone or the area.

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

[tex]Height = \frac{75}{5 * 5}[/tex]

[tex]Height = \frac{75}{25}[/tex]

[tex]Height = 3\ inches[/tex]

Answer:

your face

Step-by-step explanation:

:)

Let's let A, B, C represent the sides of the triangle from shortest to longest, then:

A = ?

B = A + 2

C = A + 3

To find the perimeter we add all the sides p = A + B + C, and based on the problem

p = A + B + C

26  = A + (A + 2) + (A+3)

26 = 3A + 5

21 = 3A

7 = A

Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:

A = 7

B = 7 + 2 = 9

C = 7 + 3 = 10

The lengths  of the sides are 7 in, 9 in, and 10 in.

May I get brainliest please? :)

Answer:

Ramesh is not correct; 7^-5 is 1/ 16807

Step-by-step explanation:

Answer:

w=-32

Step-by-step explanation:

Answer: w=32

Step-by-step explanation:

Given

w/-4 + 17=9

Subtract 17 on both sides

w/-4 + 17 - 17=9-17

w/-4=-8

Multiply -4 on both sides

w/-4 × -4=-8×-4

Answer:

[tex]x = -3[/tex]

Step-by-step explanation:

[tex]3x - 2 = 4x + 1[/tex]

Now taking 3x to right hand side of the eqn . & +1 to the left side eqn. , sign of 3x changes to -3x & +1 changes to -1 .

[tex]-2-1 = 4x - 3x[/tex]

Now solving this , we get the value of x.

[tex]4x - 3x = -2 -1\\=> x = -3[/tex]

Answer:

The answer for x is x = -3

Step-by-step explanation:

hope this helps