In a trapezoid the sum of the bases is 28 and the area is 84.
What is the altitude or height of the trapezoid?

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

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Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

A≈817.63m²

a Side

15

m

a

a

a

P

A

Solution

A=7

4a2cot(180°

7)=7

4·152·cot(180°

7)≈817.6303m²

Answer: 90.

Step-by-step explanation: According to the question above, 54 Thin Mints cookies were 60% of the total amount of cookies she sold in one afternoon and the remaining 40% is still missing. 54 / 3 is 18, which is part of our answer, because if 54 is 60%, then 18 is 20%. 18 x 2 is 36, and 36 is 40%. Now that we've found the remaining 40%, the rest is adding 54 and 36, which gives you an answer of 90.

Answer: (1) and (4)

Step-by-step explanation:

The parts listed in the ciongruence statements don't correspond, so they aren't necessarily congruent.

The simulation of the gender of a child by the couple is an illustration of probability.

The number of trials (n) is given as:

n = 90

The chance of getting each gender is equal.

So, we have:

P(Boy) = 0.5

P(Girl) = 0.5

The simulation would be based on numbers 0 to 9. Such that:

Notice that each gender have the same amount of digits i.e. 5

This is so because they both have equal chance

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Answer:

for just the slope its 3/5 or in decimal its .6

Step-by-step explanation:

y's on top x's on bottom

1--2

1+2=3

2--3

2+3=5

so slope is 3/5 or .6

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle to find x

tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × tan42° = 10 ( divide both sides by tan42° )

x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )

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

using the sine ratio to find the hypotenuse h

sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )

h × sin42° = 10 ( divide both sides by sin42° )

h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )

Answer:

The one on the very top left corner is the right one.

Step-by-step explanation:

It shows the exact data that you were looking for: ten small apples were green and 3 out of the 12 large apples were red.

Answer:

22 [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

400/3*6

400/18 = 22 [tex]\frac{2}{9\\}[/tex]

or 22.222 to the nearest thousandths.

Step-by-step explanation:

ohhhhhhhhhhhhhhhh.......

Answer:

15

Step-by-step explanation:

Count the units in the green shape or 3 x 5 = 15

P = 2 x (5,5 + 3,5) = 18 cm

P = is the circumference of the figure

Answer:

the answer should be 18 cm

you can either do 2 × (length + width)

2 × (5.5 + 3.5)

2 × 9 = 18

or

5.5 + 5.5 = 11

3.5 + 3.5 = 7

11 + 7 = 18

either way it's 18, I hope this helps

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

Answer:

x=7   y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y  And when you plug the value of y you will solve x

     2y-3x =-27

     5y+3x =6

   ADD BOTH

    7y = -21

    y = -3

     PLUG y

5(-3)+3x  = 6

 -15 + 3x = 6

     3x = 21

      x=7

Answer:

5

Step-by-step explanation:

Median from 24 to 28

Median from 28 to 34

Interquartile range

The effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

Given the parent function of the given graph expressed as  f(x) = 2x^2 + 4.

If this function is represented as f(x)+k, the addition of the constant "k" shows hat the  function f(x) has been shifted vertically upwards by a factors of 'k'

Hence the effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

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Answer:

?=2

Step-by-step explanation:

1. Solve

?/10+8/100=28/100

?/10+8/100-8/100=28/100-8/100

?/10=20/100

2. Simplify

20/100=2/10

so, ?/10=2/10

3. Check

2/10+8/100=28/100

20/100+8/100=28/100

28/100=28/100

Correct !

4. Answer

Answer:3

Step-by-step explanation:I’m the best

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.

To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

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Answer:

17.5 %

Step-by-step explanation:

5.6 is 17.5 percent of 32

Answer:

4 dollars per friend

Step-by-step explanation:

So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48

48 is how much the 4 friends paid

If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend

Answer:

approximately 14

Step-by-step explanation:

first find out how many sets of 60 there are

200/60=3.3

3.3 sets of 4 apples

but you can't have 2/3 of a rotten apple

so 3.5 sets of 4 rotten apples

4x3.5=14

Answer: $1500

Step-by-step explanation:

Did the quiz on this hope you have a great day.

Answer:

(0,6) to (4,10) it might be the answer..........

The equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

Here, we have,

To find the equation of the line passing through the points (0, 6) and (4, 10), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b,

where m is the slope of the line, and b is the y-intercept.

First, let's calculate the slope (m) using the formula:

m = (y₂ - y₁) / (x₂ - x₁),

where (x₁, y₁) = (0, 6) and (x₂, y₂) = (4, 10).

m = (10 - 6) / (4 - 0) = 4 / 4 = 1.

Now that we have the slope (m = 1), we can substitute it into the slope-intercept form along with one of the given points to find the y-intercept (b).

Using the point (0, 6), we have:

6 = 1(0) + b,

b = 6.

Therefore, the y-intercept (b) is 6.

Now we can write the equation of the line using the slope-intercept form:

y = mx + b,

y = 1x + 6,

y = x + 6.

Hence, the equation of the line passing through the points (0, 6) and (4, 10) is y = x + 6.

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Answer:

137°

Step-by-step explanation:

90+47= 137°

the sum of two interior angles is equally to the further exterior angle.

(2×100)+(3×1)+(4×1/10)+(3×1/1000)

200+3+0.4+0.003

203.401

Please give me brainliest

The equivalent number is, 203.403.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expanded form of an number is,

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Now, We can write the number as;

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)​

⇒ 200 + 3 + 0.4 + 0.003

⇒ 203.403

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