The base of a rectangle is 1 cm less than twice its height. The area is 45 cm2, find the dimensions of the rectangle.

Answers

Answer 1

Answer:

5

Step-by-step explanation:

45=(2x-1)(x)

45=(2(5)-1)(5)

45=(10-1)(5)

45=(9)(5)

45=45


Related Questions

Can someone check if this is right or did I solve it wrong?

The function y = f (x) is linear. Given f-¹ (0) = 3 and f (1) = - 4, find the formula f (x) and f-¹ (x).

Answers

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

please help!!! does anyone know what the numbers would be to x and y? i’ll give brainlest!!!

Answers

Answer:

x=-1 y=-4

x=0 y=-5

x=1 y=-6

x=2 y=-7

Step-by-step explanation:

Math question from my quizziz, I don't know if it's 1/a^9 or a^9

Answers

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]

the scale of a map is 1cm : 17km. find the actual distance corresponding to the map distance. the distance on the map is 2.5cm

Answers

Step-by-step explanation:

1cm:17km so

2.5cm=17*2.5=42.5

Graph this line using the slope and y-intercept:
y= 1/3x+9
(1/3 is fraction) i will give brainliest :)

Answers

Put a point at (0, 9)
And a point at (3, 10)

Explanation
Y-intercept is point in the y line
And slope is rise over run so if the fraction is 1/3 the. You go up one and to the right 3

Answer:

Two points, (0,9) & (3,10)

Step-by-step explanation:

First point, look at the +9 which should signal that it is 0,9 because that is the y-intercept

Next, use rise/run system to use the slope (1/3) and find your next point

Go up 1 from 9 to 10 (this is the rise part)

Go horizontally 3 to get your x-axis point (this is the run part)

Hope this helps and please award brainliest if possible!

Rationalise the denominator

Answers

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 u can answer this quickly it will be very appreciated!**
Fill in each blank with a number so that every row, column, and diagonal so that it adds up to the same total.

Answers

Answer:

9 -5 -4 6

-2 4 3 1

2 0 -1 5

-3 7 8 -6

find the side of the cubical box whose volume is 262144 cm3.

Answers

Answer:

64 cm

Step-by-step explanation:

take the

cube root of 262144

Write an explicit equation for the sequence based on the graph at right.

Answers

Answer:

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

Step-by-step explanation:

From inspection, the points on the graph are:

(1, 12)(2, 36)(3, 108)

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]

Select ALL the true statements.

Answers

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.

How many lines of symmetry does a scalene triangle have.

Answers

Answer:

Your answer would be 0.

Hope this helps :D

TBH, i am not sure what im doing. Here is a pic of the question.

Answers

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

can someone pls help me on this question i’ve literally been stuck on it all day

Answers

Let me know if you have questions

simplify the expression by combining like terms

Answers

-1/4d+f
Hope this helps

help me with geometry please

Answers

Answer:

140 = aangle 1

Desiree buys two bracelets for a little more than $40 before tax. When she gets home, her mother asks her how much each bracelet costs. Desiree cannot remember the individual prices. Use indirect reasoning to show that at least one of the bracelets cost more than $20.​

Answers

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:

Please help me math and Thanks

Answers

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 )

please help me. I will give a lot of points!!! ​

Answers

Answer:

The value of this expression is A: 3

Step-by-step explanation:

the students at lincoln middle school are being split into 5 equal teams for dodgeball. each team has 20 people on it. how many total students are there?

Answers

Answer:

100

Step-by-step explanation:

5 x 20 is equal too one hundred

What is the volume of this figure

Answers

Answer :

22 Cubic Units Enjoy.

◊ YusuCr ◊

Rewrite the equation 3x – 5y=30 in slope-intercept form.
a. y= -3/5x +30

b. y= -5/3x -6

C. x= 5/3y -6

d. y = 3/5x - 6

Answers

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 =)

the area of a trapezoid is 42 square feet and its height is 4 feet. the length of one base of the trapezoid is 9 feet. what is the lenght of its other base

Answers

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

Solve and reduce to lowest terms: 8/11 x 1/2

Answers

Hii!

8/11×1/2 is 8/22

Simplified to

8/22->4/11

Hope dis helps:]]

Brainliest?

please help!! show work needed

Answers

Answer:

the answer is 46 hope it helps

What is the product of 2,871
326?

Answers

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

Evaluate the function

Answers

Answer:

[tex]f(10) \: is \: \: - 183[/tex]

Step-by-step explanation:

[tex]f(x) = { - 2x}^{2} + 17[/tex]

Question :

Find f(10) ?

Solution :

[tex]f(x) = { - 2x}^{2} + 17[/tex]

Substitute x = 10

[tex]f(10) = - 2 {(10)}^{2} + 17[/tex]

[tex] f(10) = - 2(100) + 17[/tex]

[tex]f(10) = - 200 + 17[/tex]

[tex] \boxed{f(10) = - 183}[/tex]


Write an equation in slope-intercept form for the line with slope - 3/5 and y-intercept -1. Then graph the line.

Answers

Answer: equation: y= -3/5x - 1

See the attached image

REALLY EASY POINTS
-
What are the values of a positive attitude?

Answers

Answer:

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

Step-by-step explanation:

Can someone help me and explain the answer to this problem: Jay's dog outgrew his rectangular pen that measured 10 feet by 14 feet. To make it larger, he increased each side length by the same amount, which increased the pen's area by 81 square feet. What is the greater side length of the larger pen in feet?

Answers

Answer:

ok so first lets find the original area which is just lenth*width

10*14=140

so they increace it by 81 so

140+81=221

then we just need to find what they increases the side by we know its the same so lets just say that x so

(10+x)(14+x)=221

x=3

so the longest time is 17 since 14+3=17

Hope This Helps!!!

help please! i will give brainliest

Answers

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

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