Is b) Step-by-step explanation:
The length and the width of the rectangular garden will be ( x + 21) and x - 2 respectively.
What is a quadratic equation?Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the area of a rectangular garden is represented by the polynomial is shown x² + 19x - 42. The length and the width will be calculated by factorizing the given quadratic equation.
x² + 19x - 42 = 0
x² -21x + 2x - 42 = 0
x ( x - 21 ) + 2 ( x - 21 ) = 0
( x + 2 ) ( x - 21 ) = 0
Therefore, the length and the width of the rectangular garden will be ( x + 21) and x - 2 respectively.
To know more about quadratic equations follow
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If a man walks 150m down the street, stops to ask for directions, then walks 1 point
another 30m to his destination, what is his total distance walked? *
150m
120m
180m
What is 95% of $1350
Answer:
95% of 1350 is 14.2
Step-by-step explanation:
tell me if i'm wrong
Answer:
1,282.5
Step-by-step explanation:
[tex]1350[/tex] × [tex].95[/tex] [tex]= 1282.5[/tex]
[tex]95[/tex]% [tex]=.95[/tex] in decimal form
plz mark me brainliest. ;0
1. The temperature in Hawaii on Thursday was 85°F. The temperature in Colorado on Thursday was -
5°F. Which expression(s) represent this situation using the absolute value of the difference?
O 85 - 5
O-5-85
O 185 - (-5)
O 15 - 85
Answer:
-5-85
Step-by-step explanation:
The temperature in Hawaii on Thursday was 85°F.
The temperature in Colorado on Thursday was - 5°F.
The difference in temperature is given by :
[tex]\Delta T=-5-85[/tex]
So, the correct option is (b) "-5-85".
a plywood plank measures 1cm x 8cm x 90cm and it weighs 396g what is the volume
what is the solution in ³√3-x=³√2x
Answer:
3√3−x=3√2x
Graph each side of the equation. The solution is the x-value of the point of intersection.
x≈0.46567646
image of graph
Step-by-step explanation:
Hope it is helpful.....
Barry bought a wooden board that measured 8 feet in length. He cut off a piece that measured
6 5/9 feet. How much of the board was left?
B. is the answer i did the test and it was right
Write 7% as a fraction or mixed number in simplest from
Answer: Percent" or "%" means "out of 100" or "per 100", Therefore 7% can be written as 7100 . Because 7 is a prime number and cannot be factored this is the simplest form.
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Answer:
The dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Step-by-step explanation:
A rectangular dining room has an area of 20 square meters. It's perimeter is 18 meters. What are the dimensions of the dining room?
Area of a rectangle = Length × Width
= LW = 20 m²
Perimeter of a rectangle =
2L + 2W = 18 m
Hence:
LW = 20...... Equation 1
L = 20/W
2L + 2W = 18 ...... Equation 2
We substitute
20/W for L in Equation 2
2(20/W) + 2W = 18
40/W + 2W = 18
Multiply through by W
40 + 2W² = 18W
2W² - 18W + 40 = 0
2W² - 10W - 8W + 40 = 0
(2W - 8 )(W - 5) = 0
2W - 8 = 0
2W = 8 , W = 8/2 = 4m
W - 5 = 0
W = 5m
W = 4m or 5 m
Solving for L
When W = 5 m
L = 20/W
L = 20/5
L = 4m
When W = 4m
L = 20/W
L = 20/4
L = 5m
Therefore, the dimensions are:
Length = 5m and Width = 4m
Or
Length = 4m and Width = 5m
Solving inequalities.
1. 2x + 3 < 9
2. 4x - 5 > 43
Answer:
1. x< 3
2. x>12
have a great day :)
Step-by-step explanation:
The are of this triangle is 40cm squared. Find the value of Y
Answer:
Sorry, you didn't post an image.
Step-by-step explanation:
You can make a new question with an image.
Progress:
Simplify the expression to a polynomial in standard form:
(3x + 5)(2x2 – 2x – 1)
Answer:
Submit Answer
2 -6x -x+15 remove the parennthesies collect like tearms and reoreder like terms then you get your answer
In parallelogram ABCD, LA = 120°. What is AD?
O80°
O 120°
O60°
Select the outlier in the data set.
21
52
32
33
28
30
36
40
86
38
34
19
Answer:
86
Step-by-step explanation:
21 36
52 40
32 86
33 38
28 34
30 19
which on these sequences are a fibonacci sequence?? HELP ASAP!!
Answer:
i believe it's c
Step-by-step explanation:
from what I know the fibonacci sequence is numbers that go up by adding the following number so 1+2 is three and then 2+3 is 5
(3/4) to the power of 2
Answer: 3/16
Step-by-step explanation: hope this helps :)
Answer:
0.5625
Step-by-step explanation:
If 50% of a number is 170 and 20% of the same number is 68, find 70% of that
number.
The answer to this is 119
5x + 2y = -10
3x + y = 66
please show work
Answer:
x=142, y=-360. (142, -360).
Step-by-step explanation:
5x+2y=-10
3x+y=66
----------------
5x+2y=-10
-2(3x+y)=-2*66
-----------------------
5x+2y=-10
-6x-2y=-132
-------------------
-x=-142
x=142
3(142)+y=66
426+y=66
y=66-426
y=-360
Answer:
1- 5x+2y+−2y=−10+−2y
5x=−2y−10
[tex]\frac{5}{5}[/tex]= [tex]\frac{-2y-10}{5}[/tex]
x= [tex]\frac{-2}{5}y-2[/tex]
2- 3x+y+−y=66+−y
3x=−y+66
[tex]\frac{3x}{3} = \frac{-y+66}{3}[/tex]
[tex]x=\frac{-1}{3}y+22[/tex]
Step-by-step explanation:
This is the answers :)
What is the slope of the line that passes through the points (2,3) and (0,2)
Answer:
1/2
Step-by-step explanation:
(3-2)/(2-0) = 1/2
Can you do no7 doesn’t matter if u do just one part everything will help
Two gears have a ratio of 8:3.
If the smaller gear has 24 teeth
how many teeth does the larger
gear have?
Step-by-step explanation:
768775567iooi888776432
Which of the following values of x makes the functions equal?
y=-1x+4
y=3x
5/7x - 14 = -22. Find x.
Answer:
x = -56/5, -11 1/5, or -11.2
Step-by-step explanation:
5/7x - 14 = -22
5x -98 = -154
5x = -154 + 98
5x = -56
x = -56/5, -11 1/5, or -11.2
Answer:
x= -11.2
Step-by-step explanation:
5/7x-14=-22
+14 +14 Add 14 on both sides
5/7x = -8
(7/5)*5/7x = -8*(7/5) Multiply by the reciprocal on both sides to leave x alone
x= -11.2 Answer
7. Find the missing length of the right triangle below. (Round to the nearest
tenth, if necessary)!*
26 cm
10 cm
b
e =
=
5e + 3f = -36
-e + 2f = 2
f = 1
Answer:
e = -6
f = -2
Step-by-step explanation:
I used the elimination method and multiplied the second equation by 5 to get:
-5e + 10f = 10. Added this to:
+ 5e + 3f = -36
13f = -26
f = -2
now find e: -e - 4 = 2
-e = 6
e = -6
Please help me with math :C
Answer:
19 feet
Step-by-step explanation:
first, identify which is length and which is width. length is always longer than the width.
in order to do so, we need the measures in the same units, so let's convert . 12 yards to feet and 204 inches to feet:
there are 3 feed in a yard, so let's multiply 12 by 3:
12 • 3 = 36 feet
there are 12 inches in 1 foot, so let's divide 204 by 12
204 ÷ 12 = 17 feet
which is longer? 36 feet! so that's the length
finally, subtract the width(17 ft) from the length (36 ft)
36 - 17 = 19ft
What is (-4z + 3y - 5) + (y - 5x + 6)
(-4z + 3y - 5) + (y - 5x + 6) =
-4z + 3y - 5 + y - 5x + 6 =
-4z + 4y - 5x + 1
Pls someone answer pls
Answer:
x = 44
Step-by-step explanation:
44 goes into 2, 22 times. then 22 + 10 = 32
POSSIBLE POINTS: 6.67
0
Ross is working on a project for art class using a computer graphics program. Ross wants to
create a rectangular framework for the final graphic. The area to be enclosed by the
framework is represented by the expression 5x2 + 8x - 4. What expressions can be used to
represent the length and width of the rectangular framework?
Can someone please help me with this question
Someone please help me quick! Pleaseee
Answer:
B
Step-by-step explanation:
Reflect x-axis means (x,y) becomes (x, -y)
Shrink by 1/3 means f(x) = x becomes f(x) = 1/3x
Up 4 units means f(x) = x becomes f(x)= x + 4
So lets put that together
[tex]f(x) = \sqrt{x}[/tex]
[tex]f(x) = -\sqrt{x}[/tex]
[tex]f(x) = -\frac{1}{3} \sqrt{x}[/tex]
[tex]f(x) = -\frac{1}{3} \sqrt{x} + 4[/tex]