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Answer:

12

Step-by-step explanation:

area of a trapezoid :

[tex]A = \frac{a+b}{2} h[/tex]

where a and b = length of bases and h = height

here, we are given the area, the length of one base and the height

we want to find the other base length

we can do this by plugging in what we are given and then solving for the unknown variable

first lets define our known variables

Area (A) = 42 , height (h) = 4 and length of one of the bases (a) = 9

we then plug this into the formula and solve for b, the other base length

recall formula : [tex]A = \frac{a+b}{2} h[/tex]

A = 42 , h = 4 , a = 9

[tex]42 = \frac{9+b}{2} 4[/tex]

now solve for b

divide both sides by 4

[tex]10.5=\frac{9+b}{2}[/tex]

multiply both sides by 2

21 = 9 + b

subtract 9 from both sides

12 = b

the other base length is 12

Answer:

64 cm

Step-by-step explanation:

take the

cube root of 262144

Answer:

5.9 oz red tone,

1.7 oz gray tone,

2.9 OZ of brown tone

Answer:

[tex]t(n)=12 \cdot 3^{n-1}[/tex]

Step-by-step explanation:

From inspection, the points on the graph are:

Therefore, as terms of a sequence:

[tex]t_1=12\\\\t_2=36\\\\t_3=108[/tex]

The difference between the y-coordinates is not equal, therefore the sequence is geometric.

Geometric sequence formula: [tex]t_n=t_1r^{n-1}[/tex]

As [tex]t_1=12 \implies t_n=12r^{n-1}[/tex]

To find r, divide one term by the previous term:

[tex]r=\dfrac{t_3}{t_2}=\dfrac{108}{36}=3[/tex]

Therefore, geometric sequence formula: [tex]t_n=12 \cdot 3^{n-1}[/tex]

Answer:

f(x)=3x+1 = (-1/3, 0)

g(x)=4x^2-4 = (1, 0), (-1, 0)

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

Given:

Find f(g(x)):

Answer:

3 values of postivity is Optimistim, Kindness, and an open mind/Growth mind set.

Step-by-step explanation:

Answer:

Thank you for these points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yeah thanks.

Have a great day!

Answer:

  7

Step-by-step explanation:

The order of operations tells you to start any evaluation by looking at the innermost set of parentheses first.

Here, that means your first step is to find the value of h(-3). You do that by finding the input (x) value -3 in the table for h(x), and locating the corresponding output, h(x), which is 2.

Now, the problem becomes evaluating g(2).

You do the same thing for that function: locate the input x=2 in the table for g(x) and find the corresponding output: 7.

Now, you know ...

  g(h(-3)) = g(2) = 7

Answer:

140 = aangle 1

Answer:

30+12(square root of 5)

Step-by-step explanation:

Answer:

30 + 12[tex]\sqrt{5}[/tex]

Step-by-step explanation:

To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.

The conjugate of 2[tex]\sqrt{5}[/tex] - 4 is 2[tex]\sqrt{5}[/tex] + 4 , then

[tex]\frac{12\sqrt{5}(2\sqrt{5}+4) }{(2\sqrt{5}-4)(2\sqrt{5}+4) }[/tex] ← expand denominator using FOIL

= [tex]\frac{120+48\sqrt{5} }{20-16}[/tex]

= [tex]\frac{120+48\sqrt{5} }{4}[/tex] ( divide each term on numerator by 4 )

= 30 + 12[tex]\sqrt{5}[/tex]

If you still need help just respond, I'll type it out

The length of the diagonal AC is equal to the length of the diagonal BD,

which is 8×10 - 32 = 48.

Response:

The given parameters are;

The diagonals of the rectangle are AC and BD

The point of intersection of the rectangle = Point E

AE = 2·x + 4

BD = 8·x - 32

Required:

The length of AC

Solution:

The diagonals of a rectangle bisect each other and have equal length.

Therefore;

AE = [tex]\mathbf{\frac{1}{2}}[/tex] × BD

Which gives;

[tex]2 \cdot x + 4 = \mathbf{\dfrac{1}{2} \times \left(8 \cdot x - 32\right)}[/tex]

2·x + 4 = 4·x - 16

4·x - 2·x = 4 + 16 = 20

2·x = 20

[tex]x = \dfrac{20}{2} = 10[/tex]

x = 10

AC = 2 × AE

Which gives;

AC = 2 × (2·x + 4) = 4·x + 8

Learn more about the properties of a rectangle here:

https://brainly.com/question/13000024

Answer:

x=6

Step-by-step explanation:

[tex]4(x+5)=9x+4x-34[/tex]

Step 1 :[tex]4x+20=9x+4x -34[/tex]

At step one, you have distributive property.

Step 2:[tex]4x+20=13x-34[/tex]

Step two you have to combine like terms.

Step 3:[tex]4x-4x+20=13x-4x-34[/tex]

Now is subtraction property

Step 4:[tex]20+34=9x-34+34[/tex]

additon

Step 5:[tex]\frac{54}{9}=\frac{9x}{9}[/tex]

division

x=6

Answer:

Step-by-step explanation:

The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43). Children can get the wrong answer of 35 by working from left to right.

Answer:

A.

C.

Step-by-step explanation:

A. When adding a negative number to a positive, you subtract. 2.3 - 2.3 will equal 0.

B. When adding two negative numbers, you get an even smaller negative number. (-3.7) + (-4.1) = -7.8

C. When subtracting a negative number, the two negative signs become a positive. -12/4 is equal to 3. -2.6 + 3 is 0.4, which is positive.

D. 5/2 is the same as 2.5. If you subtract 2.5 from 2.5, you will get 0, which is not negative.

E. Two negative signs make a positive, so 72 + 100 is positive, not negative.

Step-by-step explanation:

1cm:17km so

2.5cm=17*2.5=42.5

Answer:

the answer is 46 hope it helps

Answer:

14 cupcakes

Step-by-step explanation:

40 percent of 35 is 14

Answer:

14 cupcakes had sprinkles.

Step-by-step explanation:

Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.

Answer:

(- 7, - 4 ) and (4, 7 )

Step-by-step explanation:

under a clockwise rotation about the origin of 180°

a point (x, y ) → (- y, - x ) , then

(- 7, - 4 ) → (4, 7 )

Hii!

8/11×1/2 is 8/22

Simplified to

8/22->4/11

Hope dis helps:]]

Brainliest?

Answer:

9 -5 -4 6

-2 4 3 1

2 0 -1 5

-3 7 8 -6

Answer:

red or 1/a9

Step-by-step explanation:

with that it is

a^ (3-12)

a^ (-9)

and then you can't have -9 in the top so you put it on the bottom

1/ a^9

Answer:

[tex]\frac{1}{a^9}[/tex]

Step-by-step explanation:

Cancel the common factor of [tex]a^3[/tex] and [tex]a^1^2[/tex]

[tex]a^3^-^1^2=a^-9[/tex]

Same things as 3-12 = -9

Hence, [Red] or [tex]\frac{1}{a^9}[/tex] is the correct Answer.

[RevyBreeze]

Answer:

The product would be 935,946

Step-by-step explanation:

When you are asked the product of something you have to multiply it so 2,871 x 326= 935,946

Hope this helps:)

Answer: Product of 2 x 871326 will be 1742652

Step-by-step explanation:        
2×8 7 1 3 2 6
1 2

4 0

6 0 0

2 0 0 0

1 4 0 0 0 0    

1 6 0 0 0 0 0

1 7 4 2 6 5 2

Answer:

Step-by-step explanation:

Answer:

x=-1 y=-4

x=0 y=-5

x=1 y=-6

x=2 y=-7

Step-by-step explanation:

Answer:

#FOR MY OPINION

hes have some $40 dollars before doing the tax
and she buy the bracelet bracelet prise is $5
AND HER MOTHER ASK THE BRACELET AND HER MOTHER GET SOME $20 DOLLARS THE TOTALY IS- $15.4

Step-by-step explanation:

Answer: D) y = 3/5x - 6

The correct answer is D. The equation in slope-intercept form is y = 3/5x - 6.

Step-by-step explanation:

Hope this helps =)

Answer:

f(3x) - 2g(x+1) = 12x - 5

Step-by-step explanation:

You've got f[g(x)] and g[f(x)] correct

However, f(3x) means substitute 3x for x in f(x):

f(3x) = 2(3x) - 3

⇒ f(3x) = 6x - 3

2g(x+1) = 2[4 - 3(x + 1)]

⇒ 2g(x+1) = 2[4 - 3x -3]

⇒ 2g(x+1) = 2[1 - 3x]

⇒ 2g(x+1) = 2 - 6x

f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)

⇒ f(3x) - 2g(x+1) = 12x - 5