Answer:
[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]
The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.
Answer:
35 cm
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
h = 147x2 / (5.3 + 3.1) = 35cm
mr.harrington drive 164 miles. his car used 8 gallons of gas. how many miles per gallon of gas does the car average
Answer:
20.5 mpg
Step-by-step explanation:
Here we're looking to calculate the car's fuel economy, expressed in miles per gallon, or mpg:
164 miles
------------------ = 20.5 mpg
8 gallons
help with the questions below!
Answer:
b
Step-by-step explanation:
Multiply (x-3)(4x+2) using the distributive property.select the answer choice showing the correct distribution.
Answer:
4x² - 10x - 6
Step-by-step explanation:
(x-3)(4x+2)
4x² + 2x - 12x - 6
4x² - 10x - 6
simple interest 34,100 at 4% for 3 years
Answer:
Step-by-step explanation:
.....
Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x + 8)^2 - 2 = 0
Answer:
55
Step-by-step explanation:
The values of the x are -6.59, and -9.42 if the quadratic equation is (x + 8)² - 2 = 0.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Solve for x.
Enter the solutions from least to greatest. Round to two decimal places.
(x + 8)² - 2 = 0
It is given:
(x + 8)² - 2 = 0
Using (a + b)² = a² + 2ab + b²
x² + 16x + 64 - 2 = 0
x² + 16x + 62 = 0
Compare with the standard form of the equation:
a = 1
b = 16
c = 62
Plug the above values in the formula:
[tex]\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}[/tex]
x = [-16 ±√8]/2
x = [-16 ±2.83]/2
Take + sign:
x = [-16 + 2.83]/2
x = -6.59
Take - sign:
x = [-16 - 2.83]/2
x = -9.42
Thus, the values of the x are -9.42, and -6.59 if the quadratic equation is (x + 8)² - 2 = 0.
Learn more about quadratic equations here:
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which of the following is a root of the polynomial function below
Answer: "C"
roots would make the function "0"
so just plug in the numbers...
with a + 12 you need minuses to cancel out...
B & C can not be the answer...
A is -i -3 + 4i - 12 which also is not 0
C is : 8i -12 -8i +12 WHICH DOES = 0
Step-by-step explanation:
What is the overlap of Data Set 1 and Data Set 2?
A: high
B: moderate
C: low
D: none
Explanation:
Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.
A candy bar sells for 4 for $5. How many can be bought for 20 dollars?
100 bars
80 bars
16 bars
4 bars
Answer:
The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.
16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.
An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.
To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.
To find the cost of one candy bar, we divide $5 by 4:
Cost of one candy bar = $5 / 4 = $1.25
Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:
Number of candy bars = $20 / $1.25 = 16
Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.
To know more about an expression follow
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Encuentra en cada producto notable el error o errores,enciérralo y escribe el resultado correcto.
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].
Menza has a $500 budget for the school party. She paid $150 for the decorations. Food will cost $5.50 per student. Which inequality represents the number of students, s, that can attend the party?
5.5s ≤ 150
5.5s ≤ 350
5.5s ≤ 500
5.5s ≤ 650
Answer:
Step-by-step explanation:
1] Angelo used 425 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use? ***HINT: 1 meter = 100 centimeters*** *
Answer:
4.25 meters
Step-by-step explanation:
425/100 = 4.25
or move the decimal to the left 2 places. One place for each zero in 100.
Please answer properly.
Answer:
[tex]1) y=-6[/tex]
[tex]2)x=3[/tex]
[tex]3) y=8[/tex]
[tex]4)a=8[/tex]
Step-by-step explanation:
[tex]4y+24=0[/tex]
subtract 24 from both sides
[tex]4y=-24[/tex]
divide both sides by 4
[tex]y=-6[/tex]
---------->>>>
[tex]15+3=6x[/tex]
combine like terms
[tex]18=6x[/tex]
divide both sides by 6
[tex]3=x[/tex]
---------->>>>
[tex]9y-72=0[/tex]
add 72 to both sides
[tex]9y+72[/tex]
divide both sides by 9
[tex]y=8[/tex]
---------->>>>
[tex]8a=75-11[/tex]
combine like terms
[tex]8a=64[/tex]
divide both sides by 8
[tex]a=8[/tex]
--------------------------------------------
Hope this is helpful.
How do I solve 3x+7+x?
Answer:
The answer is 4x+7
Step-by-step explanation:
3x+7+x
= 3x+x+7
= 4x+7
(I used symbolab)
Which graph represents the function p(x) = |x - 1|?
Step-by-step explanation:
Fourth graph represent the function p(x) = |x – 1|
Answer:
B
Step-by-step explanation:
Just did the unit test
The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
A bat costs $11,856 and decreases in
value by 10% per year what is the range for
this situation and how much will to bout me
worth after 8 years?
I really need help with this problem
Answer:
Measure of angle K is 52.5 degrees
Step-by-step explanation:
Here, we have a case of two sides being congruent
mathematically when two sides are congruent, then we have an isosceles triangle
For an isosceles triangle, the base angles are equal
LM faces K , while M faces KL
What this mean is that L faces KM
From above, we can see that K = M = ?
Let us call this x
Mathematically, the sum of angles in a triangle is 180 degrees
75 + x + x = 180
2x = 180-75
2x = 105
x = 105/2
x = 52.5
Chỗ hình chóp S.ABCD có đáy ABCD là hình vuông .SA=AB=2 SA vuông góc với đáy.Gọi T là điểm thoả mãn vector ST=1/2 vectơ AB tính thể tích khối đa diện ABCDST
Answer:
Step-by-step explanation:
What is the value of x, given that AE || BD?
Answer:
options number 1 is the answer
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
the lowest point of the box plot is at 1 and the highest is at 19, so by that it can't be A.
The box plot shows 12 being the median so that automatically leaves C but just to make sure the first half would be 6 and half of the last part would be 16 if that makes sense.
Sally is 54 years old and her mother is 80, how many years ago was Sally's mother three times her age?
Answer:
So , 41 years ago, Mothers age is 3 times of Sally's age. When Sally's age was 13 , and her mom age was 39 (
María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada trozo? *
a) Cada trozo mide 312m
c) Cada trozo mide 13m
d) cada trozo mite 92m
b) Cada trozo mide 9m y 75cm
Answer:
The length of each piece is 13 m.
Step-by-step explanation:
Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?
a) Each piece measures 312m
c) Each piece measures 13m
d) each piece mites 92m
b) Each piece measures 9m and 75cm
Total length, L = 78 m
Number of pieces, n = 6
length of each piece,
d = L/n = 78/6 = 13 m
So, the correct option is (c).
Work out the area of the garden. HELP ASAP i’ll make u brainliest ♡︎
Answer: 120m2
Step-by-step explanation:8x11=88
19-11=8- length of triangle base. 1/2 base x height= 4x8=32
32+88=120m2

PLS help me with this. And I am so sorry if im troubling you
Answer:
a=70 vertically opp angles
b=80 linear pair
c=100 corresponding angles
d= 80 linear pair with c
e= 180 -a-d
=180-70-80
=30
Find the value of x in the isosceles triangle shown below
Answer:
2²+3² =x²
4+9. =x²
x² =13
x. =√13
answer is option c
Answer:
C
Step-by-step explanation:
You divided 4/2 you get 2
2^2+3^2=x^2
x^2=4+9
x^2=13
x= square root 13
Solve the system.
x + y - z = 17
y +z = 1
z = -3
Answer:
(10, 4, -3)
Step-by-step explanation:
z = -3
y + z = 1
y - 3 = 1
y = 4
x + y - z = 17
x + 4 - -3 = 17
x + 4 + 3 = 17
x + 7 = 17
x = 10
(10, 4, -3)
Answer:
(10,4,-3)
Step-by-step explanation:
(x,y,z)
z= -3 given
y+z = 1 (equation 2)
y-3 =1
y=4 (solve 2 after substation)
eq #1 : x + 4 - (-3) = 17
x+4+ 3 = 17
x+ 7 = 17
x=10
(10,4,-3)
Brayden says that the probability of catching a cold is 1/2 because there are two possible outcomes, catching a cold and not catching a cold. Is he correct? Explain.
HELP QUICKLY PLS WILL MARK BRAINLIEST
The area of a trapezoid is represented by the expression 12x2 + 7x – 10. The other dimensions are shown in the diagram below. Determine an expression for the height of the trapezoid.
Answer:
(24x^2 + 14x – 20) /(3x+5) = h
Step-by-step explanation:
The area of a trapezoid is given by
A =1/2 (b1+b2) h
12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h
Multiply each side by 2
24x^2 + 14x – 20 = ( x+3+ 3x+2)h
Combine like terms
24x^2 + 14x – 20 = ( 4x+5)h
Divide each side by (4x+5)
(24x^2 + 14x – 20) /(4x+5) = ( 4x+5)h/(4x+5)
(24x^2 + 14x – 20) /(4x+5) = h
