Answer:
17Step-by-step explanation:
The formula of a distance between two points
[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]
We have
[tex]A(3;\ 7);\ B(-5;\ -8)[/tex]
Substitute
[tex]|AB|=\sqrt{(-5-3)^2+(-8-7)^2}=\sqrt{(-8)^2+(-15)^2}\\\\=\sqrt{64+225}=\sqrt{289}=17[/tex]
Question 16
16. Twenty more than a number, n, is
10 less than twice the number. What is
the number?
Answer:
I think the answer should be 20
4. Find the product of (a+b)(a²-ab+b?)
Answer:
a³+b³
Step-by-step explanation:
this is formula. You can also refer to the attachment
Answer:
Step-by-step explanation:
(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)
= a*a² - a*ab +a*b + b*a² - b*ab + b*b
= a³ - a²b + ab + a²b -ab² + b²
= a³ - a²b + a²b + ab - a²b + b²
= a³ + ab - a²b + b²
Write the following series in sigma notation.
2+9+16+23+30+37+44
Answer:
it will 161
Step-by-step explanation:
Hope mark as brain list
What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent
Answer:
64.58
Step-by-step explanation:
Answer:154.84%
Step-by-step explanation:
y=5x+1 graph the equation
This is how you would graph y=5x+1
a. Write an equation representing the fact that the product of two consecutive even integers is 80. Use x to represent the smaller integer.
b. Solve the equation from part (a) to find the two integers
Answer:
a.
[tex]x \times (x + 2) = 80[/tex]
Hope it helped
please mark BRAINLIEST
a. The equation will be of the form x(x+2) = 80.
b. The two numbers are 8 and 10.
What is an integer ?An integer is a number which has no decimal value.
According to the given question we have to write an equation representing the fact the product of two consecutive even integers is 80.
Let us represent the smaller integer x and the greater integer by (x+2).
As even numbers comes after every 2 digits.
∴ x(x+2) = 80
x² + 2x = 80
x² + 2x - 80 = 0
x² + 10x - 8x - 80 = 0
x(x+10) - 8(x+10) = 0
(x+10) = 0 OR (x-8) = 0
x = -10 OR x = 8. ( x = 8 is the valid option as it satisfies the given equation)
The two integers are 8 and 10.
learn more about integers here :
https://brainly.com/question/16941498
#SPJ2
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages iS 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answer:
hannah is 47 and Anthony is 45
Step-by-step explanation:
Sum= 92= a+(a+1)
sum= 45+(46+1)
sum= 45+47
sum= 92
value of x
plz answer correctly
Answer:
it is 80°
cause it is coming from the same cord AB
O and C will be same
Answer:
x = 40
Step-by-step explanation:
x = 80÷2 = 40
Central angle theorem
HELP!!! URGENT!!! I WILL GIVE BRAINLEIST THING
Answer:
Horizontal distance = 0 m and 6 m
Step-by-step explanation:
Height of a rider in a roller coaster has been defined by the equation,
y = [tex]\frac{1}{3}x^{2}-2x+8[/tex]
Here x = rider's horizontal distance from the start of the ride
i). [tex]y=\frac{1}{3}x^{2}-2x+8[/tex]
[tex]=\frac{1}{3}(x^{2}-6x+24)[/tex]
[tex]=\frac{1}{3}[x^{2}-2(3x)+9-9+24][/tex]
[tex]=\frac{1}{3}[(x^{2}-2(3x)+9)+15][/tex]
[tex]=\frac{1}{3}[(x-3)^2+15][/tex]
[tex]=\frac{1}{3}(x-3)^2+5[/tex]
ii). Since, the parabolic graph for the given equation opens upwards,
Vertex of the parabola will be the lowest point of the rider on the roller coaster.
From the equation,
Vertex → (3, 5)
Therefore, minimum height of the rider will be the y-coordinate of the vertex.
Minimum height of the rider = 5 m
iii). If h = 8 m,
[tex]8=\frac{1}{3}(x-3)^2+5[/tex]
[tex]3=\frac{1}{3}(x-3)^2[/tex]
(x - 3)² = 9
x = 3 ± 3
x = 0, 6 m
Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m
find the measure of side a
Answer:
8.22899353m
= 8m(round)
Step-by-step explanation:
14 * sin(36 degree) = 8.22899353
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Answer:
4
Step-by-step explanation:
split it in half u get a subtract sing makes that (8-4=4)
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=83°, and KL = 74 feet. Find the length of MK to the nearest tenth of a foot.
Answer:
9
Step-by-step explanation:
a right angled triangle has sides which are 2cm and 7cm shorter than its hypotenuse find the length of the hypoenuse
Answer:
The length of the hypotenuse side is (9 + 2·√7) cm
Step-by-step explanation:
The given parameters of the triangle are;
The type f triangle = Right triangle
The length of the sides 2 cm and 7 cm shorter than the hypotenuse
Let 'h' represent the length of the hypotenuse side of the triangle, in centimeters we have;
The length of one side of the right triangle = (h - 2) cm
The length of the other side of the right triangle = (h - 7) cm
By Pythagoras's theorem, we have;
h² = (h - 2)² + (h - 7)²
Using search function on the internet, we have;
h² = (h - 2)² + (h - 7)² = 2·h² - 18·h + 53
∴ h² = 2·h² - 18·h + 53
∴ 2·h² - 18·h + 53 = h²
h² - 18·h + 53 = 0
53 is a prime number, therefore, by the quadratic formula, we have;
h = (18 ± √((-18)² - 4×1×53))/(2 × 1)
h = 9 + 2·√7 cm ≈ 14.29 cm or h = 9 - 2·√7 ≈ 3.71
However, given that one of the side is 7 cm shorter than the hypotenuse, for all the sides to remain positive, we have h = 9 + 2·√7 cm ≈ 14.29 cm , because for h ≈ 3.71 cm, we have;
The length of the other side = (h - 7) cm ≈ (3.71 - 7) cm ≈ -3.29 cm which is not possible for a real triangle
Therefore, the length of the hypotenuse side, h = 9 + 2·√7 cm ≈ 14.29 cm.
Here is another problem please help!
Answer:
A is 60
AC is 150
BC is 120..........
9x-7i>3(3x-7u)I need the answer please
Step-by-step explanation:
9x-7i<3(3x-7u)=
9x-7i<9x-21u=
-7i<-21u=
i<3u
let the width and length be real numbers the perimeter remains a constant 24cm draw a graph 2|<w|<11
Answer:
Step-by-step explanation:
These represent the points on the graph with w as the x-axis and l as the y -axis. You only need two pairs to make a line, but it is always best to use a 3rd point as a check.
What is the solution to this system of linear equations?
y - 4x=7
2y + 4x = 2
(3,1)
(1,3)
3.-1)
(-1,3)
[tex]y=7+4x\\2(7+4x) +4x=2\\14+8x+4x=2\\14+12x=2\\12x=-12\\x=-1\\\\y-4(-1)=7\\y+4=7\\y=3[/tex]
(-1,3)
Help me please I need to get a perfect score.
Answer: 5r-5s
Step-by-step explanation:
Hope this helps :)
Here is a list of numbers.
9
7
5
10
5
3
a) Work out the median.
(2)
Josh picks at random one of the numbers.
b) What is the probability that he picks an even number?
(2)
Basil has five numbered cards.
Two of the numbers are hidden. 49 ||?|?
8
The mode of the five numbers is 8
The mean of the five numbers is 6
c) Work out the two hidden numbers.
(2)
The diameter of a circle is 3 m. What is the circle's circumference?
Answer:
C≈9.42m
Step-by-step explanation:
C=πd=π·3≈9.42478m
please help on this
Answer:
The first on is -80,
next one is -60
third one 3
last one is -54
Step-by-step explanation:
Please help worth 50 points and will give brainliest!!!
Answer:
Option A.
Length 16 feet
Width 12 feet
Step-by-step explanation:
2 cm=4 feet to scale
so you have this fraction:
2/4
or:
1/2
so for every cm, it's 2 feet.
6x2=12
8x2=16
so the width is 12 ft, the length is 16 ft. Option A
Answer: I believe it's A
Hope this helped love<3
If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :
Answer:
[tex]16[/tex]
Step-by-step explanation:
Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:
[tex](a^{b}+b^{a})-1[/tex]
[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)
[tex]=(8+9)-1[/tex] (Evaluate exponents)
[tex]=17-1[/tex] (Evaluate expression in parentheses)
[tex]=16[/tex] (Simplify)
Hope this helps!
Answer:
16
Step-by-step explanation:
Given
([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3
= (2³ + 3²) - 1
= (8 + 9) - 1
= 17 - 1
= 16
The bases of a cylinder have a diameter of 4 inches. The height of the cylinder is 6 inches. What is the total surface area of the cylinder?
Answer:
Step-by-step explanation:
area of base = π4² = 16π in²
lateral area = 2πrh = 2π·4·6 = 48π in²
surface area = 2×16π + 48π = 80π in² ≅ 251.3 in²
Answer: 100.54 in^2
Step-by-step explanation:
(the area of a circle*2) + (the circumference*the height) = the surface area of the circle
Area of a circle: Pi*r^2
Circumference: 2*Pi*r
7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is
Answer:
no. of consecutive integers--- X, X+1, X+2.
there sum is 60
X+X+1+X+2=60
3X+3=60
X+1=20
X=19
integers are=19, 20, 21
Alice bought 2 posters for $2.49 each. After a 7% sales tax was added, how much did Alice owe for her posters? PLEASE ANSWER AND DONT WASTE MY POINTS!! WILL MARK BRAINLIST
Answer:
Alice owed $5.32
Step-by-step explanation:
Answer:$5.34
Step-by-step explanation:
pleaseee CAN YALL HALP ME
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
a = 180 - (90 + 28) = 180 - 118 = 62
b = a = 62 ( vertically opposite angles )
c = 180 - (90 + 62) = 180 - 152 = 28
Since a = b = 62 and c = 28
Then the triangles are similar by the AA postulate
Answer:
A=62 degrees
B= 45 degrees
C=45 degrees
Step-by-step explanation:
Simplify the expression below.
15+x-10
Answer:
x+5
Step-by-step explanation:
15+x-10=x+5
if 2x^2-5x+7 is subtracted from x^2+2x-11, what is the leading coefficient?
a)-18
b)2
c)-2
d)7
Answer:
-1
Step-by-step explanation:
2x² - 5x + 7 is subtracted from x² + 2x - 11, so
(x² + 2x - 11) - (2x² - 5x + 7)
x² + 2x - 11 - 2x² + 5x -7 (Distribute the negative)
-x² + 7x - 18 (Combine like terms)
The leading coefficient is the coefficient of the first term, so it is -1.
find x, find jl . any help is deeply appreciated :) !
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78