Given:
The equation is:
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
To find:
The error in the given equation and correct it.
Solution:
We have,
[tex](2x+3y)(2x-3y)=4x^2+6y^2[/tex]
Taking left-hand side, we get
[tex]L.H.S.=(2x+3y)(2x-3y)[/tex]
[tex]L.H.S.=(2x)^2-(3y)^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.H.S.=(2)^2(x)^2-(3)^2(y)^2[/tex] [tex][\because (ab)^x=a^xb^x][/tex]
[tex]L.H.S.=4x^2-9y^2[/tex]
It is not equal to right-hand side [tex]4x^2+6y^2[/tex]. In the right hand side, there must be a negative sign instead of positive sign.
Therefore, [tex](2x+3y)(2x-3y)=4x^2-6y^2[/tex].
How many tiles would be in figure 100? Help :/
Answer: pretty sure it is 201 tiles
please mark me brainlies. That would be helpful
What is the distance between the following points?
I need a math genius
Answer:
yuh?
and what help do you need from me?
im a math genius, thank you very much
:)
HELPPP PLS!! WILL MARK BRAINLIEST!! #plato
Drag each tile to the correct box.
Arrange the entries of matrix A in increasing order of their cofactor values.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation: I got it right on Edumentum.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation:
The number of subsets that can be created from the set {1, 2, 3} is:
Answer:3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Subset : {} ; {1} ; {2} ; {3} ; {1,2} ; {2,3} ; {1, 3} ; {1,2,3}
Number of subsets = 8
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
int
A09) P(124
A. $512.63
B. $669.11
C. $674.43
D. $886.41
Answer:
$669
Step-by-step explanation:
Given data
Principal= $500
Rate= 6%
Time= 5 years
The compound interest formula is given as
A= P(1+r)^t
A=500(1+0.06)^5
A=500(1.06)^5
A=500*1.338
A=$669
3. Find the measure of each indicated arc or the measure of an inscribed angle.
b. Find the measure of Arc BAD
Answer:
Step-by-step explanation:
Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.
5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.
Answer:
m = 5, n = 2
Step-by-step explanation:
[tex]5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5[/tex]
can someone pls help for brainlest
Answer:
area of the larger figure=32 yd×37 yd
=1184 yd²
area of the smaller figure=21 yd ×26 yd
=546 yd²
area of the shaded region=1184 yd² -546 yd²
=638 yd²
find out the area and perimeter of circle of radius 7cm
Answer:
[tex]area = \frac{\pi}{4} \times {r}^{2} \\ = \frac{\pi}{4} \times {7}^{2} \\ = \frac{\pi}{4} \times 49 \\ = 38.48451000647 \: cm \: ans......[/tex]
Answer:
Step-by-step explanation:
area of circle=πr^2
=3.14*(7)^2
=3.14*49
=153.86 cm^2
perimeter of a circle(circumference)=2πr
=2*3.14*7
=14*3.14
=43.96 cm
What is 1/4 as a number?
Answer:
.25
Step-by-step explanation:
you divide 1 by 4 which equals .25
Answer:
1/4 as a number is 0.25
Step-by-step explanation:
Divide 1 by 4 = 0.25
What is the length of /AB?
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Find the missing angle measurements of HFG ? , fill in the boxes
Answer:
Angle HFG = 24 degrees
Step-by-step explanation:
From the diagram, we have the following;
Angle EFH and angle HFG are complementary (they add up to be 90 degrees)
angle EFH + angle HFG = 90
Angle HFG = 90-66
Angle HFG = 24 degrees
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Your
please help step by step how do I solve this
Answer:
my suggested answer (576)
Step-by-step explanation:
i chose the wrong answer :(
GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?
Consider IJ and GL are the parallel sides of the trapezoid.
Given:
In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.
To find:
The length of the mid segment HK.
Solution:
The length of the mid segment of a trapezoid is:
[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]
where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.
HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:
[tex]HK=\dfrac{IJ+GL}{2}[/tex]
[tex]HK=\dfrac{7+15}{2}[/tex]
[tex]HK=\dfrac{22}{2}[/tex]
[tex]HK=11[/tex]
Therefore, the length of HK is 11 units.
Can someone please help me get surface area and lateral surface area
Answer:
Step-by-step explanation:
suface area of base=1/2×9×7.8=9×3.9=35.1 yd²
lateral surface area=3×1/2×9×10=135 yd²
total surface area=135+35.1=170.1 yd²
i assumed it is an equilateral triangular base.
as √(7.8²+4.5²)=9.0049≈9
Find B
Plzz find the right answer and don’t just guess
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2 + b^2 = c^2
B^2 + 8^2 = 15^2
B^2 + 64 + 225
B^2 = 225 - 64
B^2 = 161
B = [tex]\sqrt{161}[/tex] OR 12.7
What are the possible values of x in x2 + 3x + 3 = 0?
Answer:
Step-by-step explanation:
Answer:
=3
Step-by-step explanation:
given the general form ax2 +bx+c=0
there exist two solutions where: a=1,b=3andc=3
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
Answer:
What are the statements?
Step-by-step explanation:
You have to list the statements.
Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 40 mi?
A. 10 miles
B. 220 miles
C. 1/10 miles
D. 180 miles
Answer:
d 180 miles
Step-by-step explanation:
4.5×40= 180 miles
The actual distance to college Lisa and Susan going together is 180 miles.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, The map scale is 1 in. = 40 mi.
Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.
Therefore,
The actual distance to college is,
= (4.5×40) miles.
= 180 miles.
learn more about scale factors here :
https://brainly.com/question/30215119
#SPJ2
Find mZP.
P
26
2./13
R
mZP =
I’m confused
Answer:
45 degrees
Step-by-step explanation:
Since we have a right triangle, we use the appropriate trigonometric ratio
The angle marked P faces QR and that makes it the opposite side
PR faces the right angle and that makes it the hypotenuse
The trigonometric ratio that links the opposite and the hypotenuse is the sine
It is the ratio of the opposite to the hypotenuse
Thus;
sin P = √26/2 √13
Sin P = √2/2
P = arc sin √2/2
P = 45 degrees
f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Given:
The expression is:
[tex]f^3+11g-4h[/tex]
The given values are [tex]f=3,\ g=2,\ h=7[/tex].
To find:
The value of the given expression for the given values.
Solution:
We have,
[tex]f^3+11g-4h[/tex]
After substituting [tex]f=3,\ g=2,\ h=7[/tex], we get
[tex]f^3+11g-4h=(3)^3+11(2)-4(7)[/tex]
[tex]f^3+11g-4h=27+22-28[/tex]
[tex]f^3+11g-4h=49-28[/tex]
[tex]f^3+11g-4h=21[/tex]
Therefore, the value of the given expression is 21.
Please answer thanks! Brainliest
Step-by-step explanation:
The last two answers is correct
Answer:
4
Step-by-step explanation:
The answer to T - H is negative
Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Selext three options.
Answer:
The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).
The transformation is rigid.
Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
If figure 1 is located 360° about point C, it will be mapped onto itself.
Step-by-step explanation:
The area of a triangle is 92 and its height is 23 what is its base?
Answer:
7.36
Step-by-step explanation:
Area=92
Height=23
Base=?
Area=1/2*base*height
92=1/2*23*height
92=12.5*height
920/125=height
7.36=height
Pleae mention unit in answer
Mark me as brainliest
Given the points A(-3, -2) and B(6, 1), determine the coordinates of point P on directed line segment that partitions in the ratio 2/1.
Answer:
[tex]P = (3,0)[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,-2)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]B = (6,1)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]m:n =2:1[/tex]
Required
The coordinates of P
This is calculated as:
[tex]P = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}][/tex]
So:
[tex]P = (\frac{2*6+1*-3}{2+1},\frac{2*1+1*-2}{2+1})[/tex]
[tex]P = (\frac{9}{3},\frac{0}{3})[/tex]
[tex]P = (3,0)[/tex]
Which is a common factor of 1 and 2?
A.
0
B.
C.
D.
1
2
4
ОА
B
С
D
Answer:
The common factor is 1.
Step-by-step explanation
The common factor of 1 and 2 is 1 since 1x2=1.
An automobile retailer calculates that its loss on the sale of Type M cars is given by L(50) = 8,000 and L'(50) = −500, where L(x) represents the loss on the sale of x Type M cars. What do these values tell you about losses?
Answer:
The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.
Step-by-step explanation:
Given
[tex]L(50) = 8000[/tex]
[tex]L'(50) = -500[/tex]
Required
Interpret
From the question, we understand that:
[tex]x \to[/tex] Number of cars
[tex]L(x) \to[/tex] Profit on x cars
Using the above as a point of reference,
[tex]L'(x) \to[/tex] Rate of loss per x cars
So, the interpretations are:
[tex]L(50) = 8000[/tex]
A loss of 8000 on 50 cars
[tex]L'(50) = -500[/tex]
The loss rate is a reduction of 500 per 50 car
PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
rhombus
Step-by-step explanation: