55° find the angle. ​

The slope of the relation is 1/4

You should know that slope is the rate of change of y with respect to x.  slope is denoted by change in y over change in x

The table of values is given as:

x −2 −1 0 1 2

y −13 −9 −5 −1 3

The slope is calculated as:

Slope = y₂ - y₁/x₂ - x₁

So, we have

Slope = 2 - 1/3 + 1

Evaluate the like terms

Slope = 1/4

In conclusion, the slope of the relation is 1/4

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Answer:

Step-by-step explanation:use a calculator

Answer:

Step-by-step explanation:

-29.8+33.2=3.4

Answer:

∠FDA

Step-by-step explanation:

Angle FDA is vertical to angle EDG.

Picture shows vertical angles.

Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.

A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.

given

7y = -4x + 28

For (3,-6)

7(-6) + 4( 3) = 28  

-42 + 12 = 28

no

For (5,0)

7(0)+4(5)= 28  

= 20

no

For (0,4)

7(4)-0=28  

Yes

For (-4,-5)

7(-5)+4( - 4)= 28

no

For (-5, 1)

7(1)+4(-5)=28

No

For (-6,3)

7(-6)+4(3)= 28

No

hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.

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Hello there!

Answer:

16

Step-by-step explanation:

[tex] |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0[/tex]

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

Isosceles right triangle

Step-by-step explanation:

Step-by-step explanation:

Isosceles Right Triangle

Answer:

(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!

Step-by-step explanation:

Given the system of equation, [tex]\left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.[/tex], solve by elimination.

[tex]\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.[/tex] , multiply the top equation by -2.

We get,  [tex]\left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.[/tex]

[tex]+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.[/tex], add the equations together.

We get, [tex]-15y=75[/tex], we just eliminated the variable, x, we can now solve this equation for y.

[tex]-15y=-75 = > y=\frac{-75}{-15}[/tex], [tex]y=\frac{75}{15} = > y=5[/tex]

We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...

[tex]x+6y=28 = > x+6(5)=28 = > x+30=28[/tex], subtract the value, 30, from both sides. We get, [tex]x=-2[/tex].

We found the value x, x=-2.

Thus the solution to the given system of equations is (-2,5).

Answer:

(-2, 5)

Step-by-step explanation:

Given linear system of equations:

[tex]\begin{cases}x+6y=28\\2x-3y=-19\end{cases}[/tex]

To solve by the method of elimination, first multiply the first equation by -2:

[tex]\implies -2 (x+6y=28)[/tex]

[tex]\implies -2x-12y=-56[/tex]

Add this to the second equation to eliminate the term in x:

[tex]\begin{array}{lrcrcr}& 2x & - & 3y & = & -19\\+\vphantom{\dfrac12}&(-2x & - & 12y & = & -56\\\cline{2-6}&\vphantom{\dfrac12}&- & 15y & = &-75\end{array}[/tex]

Solve the expression for y:

[tex]\implies -15y=-75[/tex]

[tex]\implies y=5[/tex]

Substitute the found value of y into the expression for x and solve for x:

[tex]\implies x=28-6(5)[/tex]

[tex]\implies x=28-30[/tex]

[tex]\implies x=-2[/tex]

Check by substituting the found values of x and y into both equations.

Equation 1

[tex]\implies -2+6(5)=-2+30=28[/tex]

Equation 2

[tex]\implies 2(-2)-3(5)=-4-15=-19[/tex]

Hence proving that the solution (-2, 5) is true.

Answer:

The width of the park should be 7.5 feet.

Answer:

what's the question?

Step-by-step explanation:

Answer:

170 + 156.33 + 9.38 + 98.42 + 52.54= 486.67

1,445.26 - 486.67= 958.59

Faith has $958.59 left.

Therefore the table values of which represents a linear function are table 2 and table 3

A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.

Here,

The values shown in table 2 have same constant rate of change of 3 units.

where as,

The values shown in table 3 have same constant rate of change of 5 units.

Therefore the table values of which represents a linear function are table 2 and table 3

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Answer:

- 3/x-1

Step-by-step explanation:

Answer:

[tex]-\frac{3}{x-1}[/tex]

Step-by-step explanation:

Factor the denominator and then combine fractions:

[tex]\frac{3}{(x-1)(x-2)} -\frac{3}{x-2}[/tex]

Find LCM (Least Common Multiple) of denominators:

LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)

Adjust fractions based on LCM:

[tex]\frac{3}{(x-1)(x-2)} -\frac{3(x-1)}{(x-2)(x-1)}[/tex]

Denominators are now equal so you can subtract the fractions:

[tex]\frac{3-3(x-1)}{(x-1)(x-2)}[/tex]

Factor the numerator:

[tex]\frac{3(-x+2)}{(x-1)(x-2)}[/tex]

Cancel:

[tex]-\frac{3}{x-1}[/tex]

Answer:

844.5 calories.

Step-by-step explanation:

If a physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight, and a nutritionist recommends that no more than 30% of those calories should come from simple sugars, the maximum number of calories per day that should come from simple sugars is:

2815 calories * 30% = <<281530.01=844.5>>844.5 calories

So, the maximum number of calories per day that should come from simple sugars is 844.5 calories.

Answer

844.5

Step-by-step explanation:

80+100=180

180÷100=1.80

1.80×2815=844.5

Answer:

21.44 All you need to do is divide the 2.68 by 2 then multiply it by 16

Answer:

2 1/2 or 2.5

Step-by-step explanation:

I believe it's 1 1/2

Step-by-step explanation:

I think it's either 1/6 or 1/2

Answer: A. U.S. Landmarks to European Landmarks

Maria has 25 U.S. landmark postcards and 20 European landmark postcards. The ratio of U.S. landmarks to European landmarks can be written as 25:20 or as 25/20.

Alternatively, we can express the ratio as a fraction. If we divide the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we get 25/(25+20)=25/45

The last way we can express the ratio as a decimal. By dividing the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we can find that the ratio of U.S. landmarks to European landmarks is 25/45 =0.555 or 55.5%

Step-by-step explanation:

Answer:

it is a subset

Step-by-step explanation:

since elementsof these set{5,8} can found in {2,5,8}

-1 on the left x-axis and 4 on the right y-axis.

Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.

Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.

Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.

step 1: ascend the y-axis six times.

Step 2: Use 4/1 to increase from the y-4 axis's by 1  to the right

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A. A function that represents the attendance after t years can be written as y = 20,000(1 + 0.05t)

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

This function represents the initial attendance of 20,000, multiplied by 1 + 5% increase each year (0.05) times the number of years (t).

B. To find out about how many people will attend the festival in the fifth year, we can substitute t = 5 into the function.

y = 20,000(1 + 0.05 * 5)

y = 20,000(1 + 0.25)

y = 20,000(1.25)

y = 25,000

So, approximately 25,000 people will attend the festival in the fifth year.

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Answer:

ok so if we were to do this the correct way than we would put th

e a/312 *42 first but inorder to do this we have to put the 123 bacwards from origanal order wich would be 312 so 213 wich is 87 times theaccual length so i   have no idea

Step-by-step explanation:

Answer:

The slope is -2

Step-by-step explanation:

Use the slope formula to find the slope mm.

m = − 2m = - 2

Answer:

2 she draws it they are not real

Answer:

[tex] \frac{1}{12} [/tex]

Step-by-step explanation:

Coin has 2 outcomes dice has 6 outcomes

A tail is 1/2 and a 3 is 1/6

So a tail and a 3 is 1/2 x 1/6

=1/12

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

h(x) = (x+1)²

h(-2) = 1

h(-1) = 0

h(3) = 8

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

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Answer:

55

Step-by-step explanation:

IHG = 123

IHS = x + 65

SHG = x + 78

IHG = IHS + SHG

123 = x + 65 + x + 78

123 = 2x + 143

123 - 143 = 2x

-20 = 2x

-10 = x

IHS = x + 65

IHS = - 10 + 65

IHS = 55

Step-by-step explanation:

please refer to the sketch

Answer:

90 minutes

Step-by-step explanation:

9 people = 40 minutes

4 people = 40/4=10

10 * 9= 90

therefore 4 people will finish the work in 90 minutes