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3 years ago

HELP ME

Mathematics

1 answer:

Alex777 [14]3 years ago

6 0

Answer:

<em>Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.</em>

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Help me please

blsea [12.9K]

Answer:

1 is biased, 2 isn't, 3 is biased, 4 isnt

Step-by-step explanation:

If you ask a question to people in a group who are already clearly for a certain topic then it is biased. For survey to not be biased, the people need to be chosen at random. Ask students what their favorite class is, or ask flight attendants where their favorite destination to travel to is. Dont use a group who has any relation to the survey at hand. Asking band students about funding for band is biased, as well as asking people who are at a SOCCER GAME what their favorite sport is.

5 0

2 years ago

A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

2 years ago

Two equations are given below:

jeka94

Siince 2nd equation is already equal a, subsitute b-2 for a in the other equation

b-2-3b=28
-2-2b=28
add 2 to both sides
-2b=30
divide both sides by -2
b=-15
sub back
a=b-2
a=-15-2
a=-17

(a,b)
(-17,-15)

3rd choice

4 0

2 years ago

The state of Kansas has a sales tax of 5.3%, and the maximum rate a consumer can pay for local sales tax is 8.65%. What is the r

zvonat [6]

On the face of it, [5.3%, 8.65%].

_____
If you mean that up to 8.65% may be added to the base 5.3% rate, then the total can be in the range [5.3%, 13.95%].

4 0

2 years ago

Read 2 more answers

(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g

Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

<em>This shows that both functions have the same slope.</em>

3 0

3 years ago