Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).

Answer:

m∠DAB+m∠ADC=180

115+ 29 + m∠ADB=180

m∠ADB=180 - 115 -29

= 36°

Answer:

a(y_2)_b(y_2) =a_b)(y_2(

Answer:

Its either 2(A+7=5) or 2(A+7) =5

The total surface area of the given prism is 336 cm².

Given that, a=3.44 cm, b=5 cm and h=10 cm.

The surface area of a pentagonal prism = 5ab + 5bh square units.

a = apothem length of the pentagonal prism.

b = base length of the pentagonal prism.

h = height of the pentagonal prism.

Now, the surface area of a pentagonal prism

=5×3.44×5+5×5×10= 336 cm²

Therefore, the total surface area of the given prism is 336 cm².

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Answer:

2/3 kilometers

Step-by-step explanation:

Add the two distances together

4/9 + 2/9 = 6/9

Simplify the fraction by dividing the top and bottom by 3

2/3

Answer:

Step-by-step explanation:

(4/9) + (2/9) = 6/9 = 2/3

Answer:

180- 110= 70

70+x+90=180

160+x=180

180-160=x

20=x

Answer:

y=x-5

Step-by-step explanation:

Hi there!

We want to write an equation of the line that passes through the points (8,3) and (0,-5) in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

So let's first find the slope of the line

The formula for the slope calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything needed to find the slope, but let's label the values of the points to avoid any confusion

[tex]x_1=8\\y_1=3\\x_2=0\\y_2=-5[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-5-3}{0-8}[/tex]

Subtract

m=[tex]\frac{-8}{-8}[/tex]

Simplify

m=1

The slope is 1

Here is the equation of the line so far:

y=1x+b (can also be written as y=x+b)

We need to find b

The equation passes through both (8, 3) and (0, -5), so we can substitute the values of either one of them as x and y to solve for b

Let's take (8, 3) for example

Substitute 8 as x and 3 as y

3=1(8)+b

Multiply

3=8+b

Subtract 8 from both sides

-5=b

Substitute -5 as b into the equation

y=x-5

Hope this helps!

Answer:

Choice C.

[tex]y + 1 = - 2(x - 2)[/tex]

Step-by-step explanation:

When converting to

[tex]y = mx + b[/tex]

We are left with:

[tex]y = - 2x + 3[/tex]

Which fits both the x-intercept and y-intercept.

Answer:

A

Step-by-step explanation:

Subustion works because we already know two things are congruent so we just "substitute the angles into for the variables.

We know Angle A equal Angle B so we can replace angle A into m of Angle B and set it equal to Angle B variables.

We dont do know algebra operation to solve for the variable so we B and C aren't the option.

We already know two things are equal so we dont need to use transitive.

The reason that best supports statement 5 in the given proof is option A. Substitution.

The process of substituting an algebraic letter for its value is known as substitution.

Take the equation 8 - 4x as an example. Depending on what number x is, this can take a wide range of values. For example, if we are told x = 3 then we can substitute 3 in place of x.

Let's take an example,

x ÷ 2 =  (5x - 54)

x ÷ 2 × 2 = 2 × (5x - 54)

x = 10x - 108

then by multiplication property of equality, we can multiply 2 on both sides and rewrite the equation,

x = 10x - 108

Let's take another example,

x - 2 = 2

then by addition property of equality, we can add 2 on both sides and rewrite the equation,

x - 2 + 2 = 2 + 2

x = 4

In math, if A=B and B=C, then A=C

For example, if A is 5 then by the transitive property we can conclude that B and C are also equal to 5.

Two geometric figures are said to be congruent or to be in a congruence relation if they can be superposed on top of each other and remain the same throughout.

In the given question -

Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.

Therefore, the reason that best supports statement 5 in the given proof is Substitution.

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Answer:

Step-by-step explanation:

(y2-y1)/(x2-x1)

Answer:

259 ft.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.

Let h represent the height of the house above water, hence using trigonometric ratios:

tan(26) = h / 531

h = 531 * tan(26)

h = 259 ft.

Answer:rrrrrrrr

rrrrrrrrrr

Step-by-step explanation:

rrrrrrrrrrrrrrr

The equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x be the first number:

The other numbers are:

x+1, x+2

The sum of three consecutive numbers is 117:

x + x+1 + x+2 = 117

3x + 3 = 117

3x = 114

x = 38

x+ 1 = 38+1 = 39

x+2 = 38+2 = 40

Thus, the equation for the scenario is x + x+1 + x+2 = 117 and largest number is 40.

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Answer:

x = 2

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of one chord is equal to the product of the parts of the other chord , that is

12x = 6(x + 2) = 6x + 12 ( subtract 6x from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

The term 'secant' refers to a line segment that intersects a circle in two places. When two secants intersect inside a circle, one can use the product of lengths theory to form ratios between the parts of intersection between the secants. This ratio can be described as the following, let ([tex]secant_A[/tex]) and ([tex]secant_B[/tex]) represent the two secants in the circle. Part (1) and (2) will refer to the two parts formed after the intersection of the secants.

[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]

Use this formula in the given situation, substitute the given values in and solve for the unknown,

[tex](secant_A_1)(secant_A_2)=(secant_B_1)(secant_B_2)[/tex]

[tex](6)(x+2)=(12)(x)[/tex]

Simplify,

[tex](6)(x+2)=(12)(x)[/tex]

[tex]6x+12=12x[/tex]

[tex]12=6x[/tex]

[tex]x=2[/tex]

Answer:

obtuse angle

Step-by-step explanation:

Answer:

obtuse angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is true because if we were to plug in values for x and y the first equation will have a greater value.

Lets try 2 for x and y......

2^2+2(2)(2)+2^2                                                                                              

4+8+4

=16

and for the other expression

2(2+2)

4+4

8

And 16 is greater then 8 this is true for all real rational numbers

Answer:

CAUTION HERE !!!!!

if you suggested edits are accurate the solution would be...

[tex]\frac{3p^2 - 5p+9}{6p^2}[/tex]

that is not one of your choices, but is is almost identical to choice "D"

which is different by [tex]6px^2[/tex]  vs   [tex]6p^2[/tex]

which i think is your comment ????  

Step-by-step explanation:

Answer:

You didn't give me any specifics about what you want me to solve or do.

yes it is possible, although it doesn't always occur.

Your answer is: True

Answer:The answer is 1 3/8 (D)

Step-by-step explanation:

If you added the amounts of each tick mark (which would be 13 2/8), and then subtracted it by 16, it would be 2 6/8. 2 6/8 divided by two (because we need to find the length of both of the indentical meteors) would be 1 3/8.

Now, to make sure it is 1 3/8: 13 2/8 + 1 3/8 + 1 3/8 = 16.

It is confirmed, 1 3/8 (Answer D) is the correct answer.

(Also, I took this test and got it correct :D)

Step-by-step explanation:

Mistake in Line 2 : Was in the determining the values for a ,b,c

Mistake in Line 4 : Not taking the square roots of both sides.

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

First Mistake : Line 2

[tex]a = x \\ b = 6 \\ c = 10[/tex]

Second Mistake : Line 4

[tex]136 = {x}^{2} \\ not \\ 136 = x[/tex]

Correct Solution :

[tex] {x}^{2} + {6}^{2} = {10}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ {x}^{2} = 100 - 36 \\ [/tex]

[tex] {x}^{2} = 64 \\ \sqrt{ {x}^{2} } = \sqrt{64} \\ x = 6[/tex]

Answer:

b i think

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

I'm very sure

Answer:

19: 5

Step-by-step explanation:

Total fruit  is 5+10+4 = 19

fruit: pears

19: 5

Answer:

19:5

Step-by-step explanation:

5+10+4= 19

Pears= 5

Answer:

Step-by-step explanation:

Answer:

write question in short form

Step-by-step explanation:

Answer:  -6 only (choice B)

This is because the point (0,-6) is on the blue line. This is the y intercept.

Choice C would be true if you wanted to solve f(x) = 0, instead of f(0) itself.

Answer:

-6

Step-by-step explanation:

f(0) means what is the output when the input is 0

x=0 y= -6

a) (0, 1)

The graph will cross the y-axis at the y-intercept. We can easily find this value by putting the given equation into slope-intercept form (y = mx + b).

y - 4x = 1

y = 4x + 1

The y-intercept is (0,1).

b) k = 6.5

We first need to find c, or the y-intercept. This is given to us on the graph, where the line crosses the y-axis at (0,-3).

Therefore, our line is y = 2x - 3.

Then, we can plug in 10 for y from the point (k,10) and solve for k (which is the same as x).

10 = 2x - 3

13 = 2x

x = 6.5

Hope this helps!

Answer:

Hello

Answer B: 32.58°

Step-by-step explanation:

[tex]sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o[/tex]

Step-by-step explanation:

You have 5 digits.Youdonot say if duplication is allowed. I will assume not

For the first digit you have 5 choices. One of the 5 digits is gone.

You now have 4 digits to choose from. You pick one. Now you have but 3 left.

The total answer if 5*4*3*2*1 = 120

Answer: (3.5,-2)

Step-by-step explanation:

To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.

4x-7y=28        [plug in y=-2]

4x-7(-2)=28    [multiply]

4x+14=28       [subtract both sides by 14]

4x=14              [divide both sides by 4]

x=3.5

------------------------------------------------------------------------------------------------------------

6x-5y=31        [plug in y=-2]

6x-5(-2)=31    [multiply]

6x+10=31       [subtract both sides by 10]

6x=21             [divide both sides by 6]

x=3.5

Now, we know the solution to the system is (3.5,-2).

Answer:

(3.5, -2)

Step-by-step explanation:

Hi there!

We are given a system of equations, and the value for y is already solved (y=-2)

We want to find the value of x

To do that, substitute -2 as y into either one of the equations in the system (the system has the equations 4x-7y=28 and 6x-5y=31) and solve for x

Let's use 4x-7y=28, although picking 6x-5y=31 is completely fine

Substitute -2 as y into the equation

4x-7(-2)=28

Multiply

4x+14=28

Subtract 14 from both sides

4x=14

Divide both sides by 4 and simplify

x=7/2, or 3.5

We found the value of x in the system

Substitute the values of x and y into a point form (x, y)

The solution is (3.5, -2)

Hope this helps!