Step-by-step explanation:
Given that,
The length of the shelf = 24 inches
The width of the shelf = 7 inches
Area of the shelf, A = 24 × 7
= 168 inch²
When the width of the shelf is doubles,
New width = 14 inch
New area, A' = 14×24
= 336 inch²
It means,
A' = 2(A)
So, the new area becomes 336 inch² i.e. twice the initial area.
x^(2)-8x=-7
Please show work.
Answer:
This equation has two solutions.
1 solution is: x - 1
Solution #2 is : x - 7
Step-by-step explanation:
1. Move the constant to the left. We end up with x^2 - 8x +7 = 0
2. Rewrite the expression: x^2 - x - 7x + 7 = 0
3. Factor the expressions: x * (x-1) -7(x-1) = 0
4. Separate into possible cases : (x-1) * (x-7) = 0
5. Solve the equation(s): x-1 = 0
x-7 = 0
6. Possible solutions are as follows: x-1 OR x-7
can someone help me please?
Answer: It would be A 3$
Step-by-step explanation:
Because 5+3=8 and 8+3=11
The tape diagram represents an equation (look at picture!!)
Answer:
1/4 + m = 2/3
Step-by-step explanation:
what are the values of f and d ?
Answer:
Step-by-step explanation:
1. 6f+45+15=180
6f=180-45-15
6f=130
f=130/6=65/6=21.66666666666666....
2. d=6f=130/6=65/6=21.66666666666666....
(They are vertical angles, opposite angles)
Which equation is represented by the graph below?
1) y = 5*
2) y = 0.5
3) y = 5*
4) y = 0.5-*
Answer:
0.5^x
Step-by-step explanation:
Which equation represents a line that passes through (2, -0.5) and has a slope of 3? Oy - 2 = 3(x+ -0.5) 0 y 3= 2(x + 0.5) 0y + 7 = 3(x - 2) Oy + 7 + 2(x - 3)
Answer:
y=3x-6.5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-0.5)=3(x-2)
y+0.5=3x-6
y=3x-6-0.5
y=3x-6.5
The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.
What is equation of a line?The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.
The equation of a line passing through the point and slope is given as:
(y - y₁) = m (x - x₁)
(y - -( 0.5)) = 3 ( x - 2)
(y + 0.5) = 3 (x - 2)
(y + 1/2) = 3 (x - 2)
or
y + 0.5 = 3x - 6
y = 3x - 6.5
Thus the correct option is D.
To know more about equation of a line, visit;
https://brainly.com/question/29201769
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Your question is incomplete most probably your full question was:
Which equation represents a line that passes through (2, -0.5) and has a slope of 3?
A. y - 2 = 3( x + 1/2)
B. y- 3 = 2 ( x+ 1/2)
C. y + 1/2 = 3 (x - 2)
D. y + 1/2 = 2 (x -3)
The Johnson family pays 1,783 per month for rent. If the cost of their rent remains the same, how much will they pay for rent over 15 years?
Answer:
1 year= 12 months
1 months rent=1783
1783x12=21396
15 years = 180 months
the equation would be
1783x180=320940
or
21396x15= 320940
someone please help me
A square has an area of 9 sq.m and has a perimeter which is equal to the
perimeter of an equilateral triangle. What is the area of the equilateral triangle?
ok 1502837598758623875 x 9364876408763o17360876356217356
Answer:
1.4073888e+48
Step-by-step explanation:
Write the following phrase as an algebraic expression use b for the unknown.
“A number more than 6”
Answer:
b>6
Step-by-step explanation:
b is more than 6.
> more than sign
What is the area? I will give 30 points
Answer:
35
Step-by-step explanation:
Answer:
Wouldn't the area be 42?
the sum of the first ten terms of a linear sequence is -60 and the sum of the first fifteen terms is -165. Find the 18th term of the sequence
Answer:
a₁₈ = - 31Step-by-step explanation:
[tex]S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31[/tex]
Which of the following
situations corresponds to
this graph? (Be careful!
The y-axis shows speed, not distance.)
A rectangle is 4 miles longer than it is
wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.
Answer:
1283 miklis
Step-by-step explanation:
Answer:
The lenght is 17 milesThe wide is 13 milesLet / l : the lenght of the rectangle
w : the wide of the rectangle
Step-by-step explanation:
[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]
I hope that is useful for you
Find the volume 10 2/5cm 3cm 8 1/3cm
Answer:
260
Step-by-step explanation:
Multiply all of the numbers together
how do you solve this?
Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
y=x²+16x+63
plz help im confusing myself on this problem plz show work to thx for the help
Answer:
\frac{d}{dx}\left(x^2+16x+63\right)=2x+16
Step-by-step explanation:
what is 15 times 3 by 7
Answer:
6.42857142857
Step-by-step explanation:
Answer:
6 3/7
Step-by-step explanation:
An item is regularly priced at $57. It is now priced at a discount of 55% off the regular price.
Answer:
the item would cost 25.65
Step-by-step explanation:
What is the perimeter, in units, of Rectangle WXYZ?
Answer:
I'm pretty sure it's 72, if not i'm sorry
Find the surface area
PLEASE HELP! will mark brainiest
Thank you :)
Answer:
12796 cm²
Step-by-step explanation:
[tex]SA=2(lw+lh+wh)[/tex] where l is the length, w is the width and h is the height
Plug in 42 as l, 35 as w and 64 as h
[tex]SA=2(42*35+42*64+35*64)\\SA=2(1470+2688+2240)\\SA=2(6398)\\SA=12796[/tex]
Therefore, the surface area of the figure is 12796 cm².
I hope this helps!
Answer:
Solution :-TSA = 2(lb + bh + lh)
TSA = 2(64 × 42 + 42 × 35 + 64 × 35)
TSA = 2(6398)
TSA = 12796 cu. cm
[tex] \\ [/tex]
Part D
What do the measures of angles BDA and BEA and the fact that AD and AE are radii of circle A tell us about BD and BE
Font Sizes
Answer:
BD and BE are tangents to the circle
Step-by-step explanation:
Given
See attachment
Required
What does BD and BE represent?
From the attachment, we have:
[tex]\angle BDA = 90^\circ[/tex]
[tex]\angle BEA = 90^\circ[/tex]
[tex]Radii = AD\ and\ AE[/tex]
The measure of angles between a tangent and the radius of a circle is always [tex]90^\circ\\[/tex]
So, because [tex]\angle BDA = 90^\circ[/tex] and AD is a radius, then BD is a tangent to circle.
Similarly,; [tex]\angle BEA = 90^\circ[/tex] and AE being a radius implies that BE is a tangent to circle.
Which of these ordered pairs is a solution to the linear inequality 3y – 2x ≥ 8? (1, 3) (3, 1) (–4, 2) (2, –4)
h (t) = -16t^2 + 144
Answer:
-16 (t+3) (t-3)
Step-by-step explanation:
Define a cubic polynomial and a binomial use only one variable in each). Show how to use the Vertical Method to multiply these two.pls Quick I do not wanna FAIL
Cubic polynomial
[tex] {x}^{3} + {2x}^{2} - 5x - 10[/tex]
Binomial
[tex]2x - 3[/tex]
By vertical method of multiplication we get,
[tex] {2x}^{4} + {x}^{3} - {16x}^{2} - 5x + 30[/tex]
How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6.2%? Round to the nearest whole number.
Answer:
the time period is 38.28 years
Step-by-step explanation:
The computation of the time period is shown below:
Given that
RATE = 6.2%
PV = $500
PMT = $0
FV = $5,000
The formula is shown below:
= NPER(RATE;PMT;-PV;FV;TYPE)
After applying the above formula, the time period is 38.28 years
Hence, in order to save $5,000 it would take 38.28 years
A square has a diagonal that is 26 feet long.
What is the perimeter of this square?
answer:
52[tex]\sqrt{2}[/tex]
step-by-step explanation:
we can use the 45-45-90 triangle theorem for this: x, x, x[tex]\sqrt{2}[/tex]this is because this is a square
squares have two sides of the same length, and the diagonal is differentthe x's stand for the sides, whereas the x[tex]\sqrt{2}[/tex] stands for the diagonalx[tex]\sqrt{2}[/tex] = 26
x = 13[tex]\sqrt{2}[/tex]
now multiply this by 4 because this is the length of one of the sides of the square. in order to find the perimeter we have to either add this four times or multiply by 413[tex]\sqrt{2}[/tex] X 4 = 52[tex]\sqrt{2}[/tex]
A right triangle has one leg with a length of 1 inch. In addition, the length of the hypotenuse is 1.5 times greater than the length of the other leg. Determine the measurements of the acute angles in the right triangle.
Answer:
25.5 inches is the correct answer