The plot of land illustrated in the accompanying diagram has a perimeter of 34 yards. Find the length, in yards, of each side of the figure
Answer:
Length of x+3= 6.75
Length of 4x=15
Length of 3x-1=10,25
Step-by-step explanation:
First make an equation and find x x+3+3x+1+4x=34Then solve for x, answer will be 3,753,75 represents xShow all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x plus 7 end quantity minus 1 equals x
Answer:
x=2 true solution
x=-3 extraneous
Step-by-step explanation:
sqrt(x+7) -1 = x
Add 1 to each side
sqrt(x+7) -1+1 = x+1
sqrt(x+7) = x+1
Square each side
(sqrt(x+7))^2 = (x+1)^2
x+7 = x^2 +2x+1
Subtract x from each side
7 = x^2 +x +1
Subtract 7 from each side
0 = x^2 +x - 6
Factor
0 = (x+3)(x-2)
Using the zero product property
x+3 = 0 x-2 =0
x=-3 x=2
Check solutions
x=-3
sqrt(-3+7) -1 = -3
sqrt(4) -1 = -3
3 =-3 extraneous
x=2
sqrt(2+7) -1 = 2
sqrt(9) -1 = 2
3 -1 =2
2 =2 true
Find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104 m.
Answer:
l=30
or
22 it is the coret anser
An 8μC charge is moving through a 10T magnetic field at a speed of 2.5⋅107 m/s perpendicular to the direction of the field. What is the force on the charge
THIS IS YOUR ANSWER
HOPE IT HELPS YOU
convert 8 1/10 into an improper fraction
Answer:
81/10
Step-by-step explanation:
A car travels at an average speed of 30 km/h for 4 hours. The distance travelled is
A. 7.5 km
B. 120 km
c. 0.13 km
D. 34 km
Answer:
B
Step-by-step explanation:
distance = speed × time = 30 × 4 = 120 Km → B
15 × u= 135
---------------
Answer:
15u = 135
Divide both sides by 15
u = 135/15 = 9
U is equal to 9
Hope this helps!
[tex]15 \times 4 = 135 \\ divide \: both \: sides \: of \: equcation \\ by \: 15 \\ \frac{15u}{15} = \frac{135}{15} \\ u = \frac{135}{15} \\ u = 9[/tex]
plz help can anybody solve this only one question
Step-by-step explanation:
Angle:2x+30+3x=180
Angle:2x+b+2b=180( Being in straight line)
Angle:30+3x+a=180
The diameter of a circle is 4 cm. Find its area to the nearest tenth.
Answer:
12.6
Step-by-step explanation:
use pi r squared to get the answer
Answer:
12.6 cm^2
Step-by-step explanation:
Diameter of circle=4 cm
Radius of circle=2 cm
Area of the circle=pi*r^2=pi*4=12.6 cm^2
If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find RS. Show work!
Answer:
97
Step-by-step explanation:
Since S is the midpoint of RT, and when you split the line into two you'd get two distances that are equidistant. Therefore, you can make the two distances into an equation. When combined together, the result will be the total length of the line.
5x + 17 = 8x - 31
Now simply just solve for "x"
5x + 17 = 8x - 31
5x + 48 = 8x
48 = 3x
48/3 = 3x/3
16 = x
Once you get x, plug it into the equation "RS = 5x + 17"
5(16) + 17
80 + 17
97, which is our final answer.
The vertex is 2,-4 what is the parabola equation
Answer:
y + 4 = (x - 2)^2
Step-by-step explanation:
The vertex form of the equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically. If all we know is the vertex (2, -4), then the desired equation is:
y + 4 = a(x - 2)^2
If there is no vertical stretching or compression, then the equation becomes:
y + 4 = (x - 2)^2
Answer:
y = x² - 4x
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 4) , with a = 1 , the equation is
y = (x - 2)² - 4 ← expand using FOIL
= x² - 4x + 4 - 4
y = x² - 4x ← equation of parabola
When think of a number double it
and add five and get 13 What the number I
Thought
Let the no be x
ATQ
[tex]\\ \sf\longmapsto 2x+5=13[/tex]
[tex]\\ \sf\longmapsto 2x=13-5[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
PPPPlease help meeee!
Answer:
A
Step-by-step explanation:
Since the theta is in second quadrant, x will be negative and y positive. cos(theta)=-2/sqrt(29)=B/H, the base is 2 and H=sqrt(29). The perpendicular is 5.
I need help ASAP!! Please explain how to solve the problem
A water sprinkler sends water out in a circular pattern. How large is the watered
area if the radius of the watering pattern is 3 feet?
Use 3.14 for pi.
____feet squared
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
Step-by-step explanation:
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Gregg’s phone plan charges $.50 per text message plus $.70 a day. Howard’s plan charges $.30 a text plus $2.50 a day. For what number of texts, a day are the cost of the phone plans the same? Show work.
Answer:
x=9
Step-by-step explanation:
.5x+.7 = .3x+2.5
-.7 -.3x
.2x=1.8
/.2 /.2
x=9
.5(9)+.7=5.2
.3(9)+2.5=5.2
A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?
pls answer i will mark brainliest
Answer:
Part one:
In terms of price;
[tex]2x + \frac{5}{2} y = 19 \\ \\ 4x + 5y = 38 - - - (equation \: \: 1)[/tex]
In terms of people, each person will get one snack:
[tex]x + y = 8 - - - (equation \: \: 2)[/tex]
Part two:
[tex]in \: equation \: 2 : \\ x = 8 - y \\ substitute \: for \: x \: in \: 1 : \\ 4(8 - y) + 5y = 38 \\ 32 - 4y + 5y = 38 \\ y = 6 \\ \\ therefore : x = 2[/tex]
Sam bought 2 bags of chips
Klog earns $6.30 per hour. He worked 3.5 hours each day Monday through Friday plus 4 on Saturday. How much did he earn altogether?
Answer:
Klog earned $135.45 altogether.
Step-by-step explanation:
Hours
Monday - Friday : 5 days / 3.5 hours
Saturday : 1 day / 4 hours
3.5 · 5 + 4
= 17.5 + 4
= 21.5
Money
$6.30 per hours / 21.5 hours
6.30 · 21.5
= $135.45
Doug entered a canoe race. He paddled 5 miles in 2 thirds an hour. What is his average speed per hour?
Answer:
15/2 miles or 7 1/2 miles per hour.
Step-by-step explanation:
We can write the ratio shown as 5 : 2/3. We would need to divide both sides by 2/3 to get our answer. 2/3÷2/3=1 and 5÷2/3 would be 15/2. So the ratio would now look like this: 15/2 : 1. Hope this helped.
The average speed is 7.5 miles/h
What is average speed?The average speed of a body is equal to the total distance covered, divided by the total time taken. The formula for average speed is given as:
Average Speed Formula:
Average Speed = Total distance covered ÷ Total time taken
given:
distance= 5 miles =
time= 2/3 hour
So, average speed
=distance/ time
=5/ 2/3
= 15/2
=7.5 miles/ h
Learn more about average speed here:
https://brainly.com/question/12322912
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Q: Marci wants to prove that the diagonals of
a rectangle are congruent. Which of these
procedures would be best for Marci to use
to write a correct proof?
a) She should use the fact that the
diagonals of a square are perpendicular
and then use the triangle-angle-sum
theorem.
b) She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
c) She should use the fact that the
opposite angles of a parallelogram are
congruent and then use triangle
similarity relationships.
d) She should use the fact that the
diagonals of a parallelogram bisect the
angles of the parallelogram and then
use triangle congruence relationships.
Answer: Option B
She should use the fact that the
opposite sides of a parallelogram are
congruent and then use the
Pythagorean theorem.
We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.
Must click thanks and mark brainliest
Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2
Hi
5x²-x-4 = 0
Δ= (-1)² - 4*5*(-4)
Δ = 1 -4*-20
Δ = 1 +80
Δ = 81
√Δ= 9
as Δ ≥ 0 , so 2 solutions exist in R
S1 is : ( 1+9) /2*5 = 10/10 = 1
s2 = (1 -9)/2*5 = -8/10 = -4*2 /2*5 = -4/5
Corrects answers are A and D
Answer:
A. -4/5 And D. 1
Step-by-step explanation:
i just got it right
Find the squares of the following:
1)2a+1 2) 3b+2c 3) 2p²+3q²
Answer:
1. 4a^2 + 4a + 1
2 9b^2 + 12bc + 4c^2
3 4p^4 + 12p^2q^2 + 9q^4
Step-by-step explanation:
25 mi/h ≈ _______ft/s
There are 5280 feet to 1 mile, and 3600 seconds to 1 hour. So
(25 mi/h) × (5280 ft/mi) × (1/3600 h/s) = 110/3 ft/s ≈ 36.7 ft/s
Hi
1 mile is 5280 feet.
1 hours is 3 600 seconds
So 25 mi/h is 25* 5280 = 132 000 feets in 3 600 seconds.
So : 132 000 /3 600 = 1 320 / 36 =36.66
25 mi/h≈ 36.6666 ft/s
I need help in this question
Answer:
C. 12/15
Step-by-step explanation:
2/3, 6/9, and 18/27 all simplify to 2/3. 12/15 does not.
Answer:
C. 12/15
Step-by-step explanation:
As it is mentioned above, the below text is the explanation, if you were here for the answer, it is above.
The question is asking which ratio is not equivalent. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided anymore.
So when we look at A. we see that you can not simplify 2/3 anymore. Hence:
A (simplified version): 2/3
When we look at B. we see that the ratio, or fraction, is 6/9. The numerator, or the top number, is 6, while the denominator (the number on the bottom), is 9. The GCF (The greatest common factor, or GCF, is a term used to describe the biggest number that can divide evenly into two or more numbers. Sometimes, this is also referred to as the greatest common divisor, GCD, or highest common factor, or HCF. A factor is a smaller number that can divide evenly into that number) of 6 and 9 is 3. So we divide the numerator and the denominator (both) by 3 to get to 2/3. Hence:
B (simplified version): 2/3
Now, when we look at C. we see that the ratio is 12/15. What is the GCF of 12/15? The GCF is 3. So we divide the numerator and the denominator by 3 to get:
C (simplified version): 4/5
Moving on to D. Let's make it quick. The ratio is 18/27. The GCF is 9. So we divide the numerator and the denominator by 9 to get::
D (simplified version): 2/3
If:
A (simplified version): 2/3
B (simplified version): 2/3
C (simplified version): 4/5D (simplified version): 2/3
The one fraction that is not equivalent? I'll let you figure that out for yourself!
Hope I was able to help zahrahimran1 (and anyone else)! Have a nice rest of the day!
Change 300mm into cm
Answer:
30 cm
Step-by-step explanation:
divide by 10
Answer:
300mm —> 30 cm
1mm= 0.1cm
I hope I helped you^_^
please help me with this!!
Answer:
Angle BFC = EFD.
So, Angle AFE = AFB + 2(BFC) + CFD
AFE = 25 + 2(57) + 34
AFE = 25 + 114 + 34
AFE = 139 + 34
AFE = 173
So B is correct.
Let me know if this helps!
Where is the blue dot on the number line? (please hurry!)
Answer:
The point is at -0.58
Step-by-step explanation:
If you count each line, they each represent 0.1, so -0.55, -0.56, -0.57 and -0.58 is the 4th line
Answer:
-0.58
Step-by-step explanation:
Each division is 1/100 or 0.01
-(0.55 + 0.01) = - 0.56
-(0.56 +0.01) = -0.57
-(0.57 + 0.01) = -0.58
Rewrite using exponents
AxAxAxAxAxAxA
need answer quick!!! please
Answer:
A^7
Step-by-step explanation:
