Answer: x = 9.
Step-by-step explanation: Plug in 9 as x.
5+10(9-10) = -15
= 15(-1)
= -15
Hence, x = 9.
Let $S$ be the set of points $(a,b)$ in the coordinate plane, where each of $a$ and $b$ may be $-1$, 0, or 1. How many distinct lines pass through at least two members of $S$
Answer:
20 Lines
Step-by-step explanation:
According to the Question,
Given That, Let S be the set of points (a, b) in the coordinate plane, where each of a and b may be -1, 0, or 1.Now, the total pairs of points which can be formed is 9
And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36
Here, We have overcounted all of the lines which pass through three points.
And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times
Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.
Therefore, the distinct lines pass through at least two members of S is 3 horizontal, 3 vertical, and 2 diagonal lines, so the answer is 36 - 2(3+3+2) = 20 LinesThe graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
will give brainlist
Answer:
y=0.3x-2
Step-by-step explanation:
first find the gradient
m=y2-y1/x2-x1
m=0-(-2)/6-0
m=0.3
then use this equation
y-y1=m(x-x1)
y-(-2)=0.3(x-0)
y+2=0.3x-0
y=0.3x-2
What is the slope of the line represented by the equation y=
iy=-x+ .
0
를
○ 4
0를
O
0를
Answer:
-1/2
Step-by-step explanation:
Equation is put in slope intercept form:
y = mx + b
Where m = slope
-1/2 takes the place of m meaning that the slope is -1/2
Using linear function concepts, it is found that the slope of the line is of:
[tex]-\frac{1}{2}[/tex]
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the equation is:
[tex]y = -\frac{1}{2}x + \frac{1}[4}[/tex]
Thus the slope is of [tex]m = -\frac{1}{2}[/tex].
More can be learned about linear function concepts at https://brainly.com/question/24808124
Find the surface area of the
triangular prism.
7 cm
cm
7 cm
9 cm
5 cm
[?] sq cm
Please HELP ME
Hello,
I am going to calculate all the surface areas of the prism:
1) the bases: 2*(6*9)/2=64 (cm²)
2) perimeter of the base: 7+9+7=23 (cm)
3 lateral area: 23*5=115 (cm²)
All surface areas= 64+115=179 (cm²)
What does it means sq ? (for a foreigner) ?
All surface areas= 64+115=179 (cm²)
What is triangular prisms?A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangular prism are not rectangular, the prism is oblique.
Given
the bases: 2*(6*9)/2=64 (cm²)
perimeter of the base: 7+9+7=23 (cm)
3 lateral area: 23*5=115 (cm²)
All surface areas= 64+115=179 (cm²)
To know more about triangular prisms refer to:
https://brainly.com/question/3160908
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Decrease £19064.67 by 9.5%
Give your answer rounded to 2 DP. (decimal place)
Please Help !!!
Answer:
17253.52
Step-by-step explanation:
100-9.5=90.5
19064.67*0.905=17253.52
please help it's due i will give brainly
Answer: 1) You forgot to change the sign over there. You have to subtract over there.
2) Just be careful while solving equations while changing the signs
What is the value of x to the nearest tenth?
A) 9.2
B) 7.2
C) 4.8
D) 12.0
Answer:
B. 7.2
Step-by-step explanation:
radius=24÷2= 12
other line =19.2÷2=9.6 because line from centre bisects chord and is perpendicular to it
Therefore: X²=√ 12²-9.6² ( theorem of Pythagoras)
X=7.2
I need help on this !! Please
Answer:
Step-by-step explanation:
Solve for x.
Help me please
Answer:
x = 24
Step-by-step explanation:
mathematically, in a cyclic quadrilateral, two opposite angles are supplementary
what this mean is that they add up to be 180
From what we have in the question, the two angles are supplementary and that means they add up to equal 180 degrees
thus, we have it that;
(4x + 9) + (3x + 3) = 180
4x + 3x + 9 + 3 = 180
7x + 12 = 180
7x = 180-12
7x = 168
x = 168/7
x = 24
Tìm x €N: a) 24:(2x-4)+14=26
Mike invested $93,000 at 8.19% compounded weekly.
What will Mike's account balance be in 11 years?
Answer:
$4920446.6202
Step-by-step explanation:
the formula for compound interest is: P(1+ r/n)^n*t
p= principle (the amount of money you invest/ start with)
r= the interest rate (which is the percentage in decimal)
n= the number of times its compounded per year (52 weeks per year)
t= the amount of time (usually in years)
now, you plug the numbers youre given into the formula:
93000(1+0.0819/52)^52*11
= $4920446.62402
hope this helps :)
Mile's account balance after 11 years will be $228,786.8
What is the formula for compound interest?"[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where A = Accrued amount (principal + interest)
P = Principal amount
r = interest rate as a decimal
R = interest rate as a percent
r = R/100
n = number of compounding periods
t = time in years"
For given question,
P = $93000,
t = 11 years
n = 52 (weekly compounding)
R = 8.19%
So, the interest rate in decimal would be,
[tex]\Rightarrow r =\frac{8.19}{100}\\\\\Rightarrow r =0.0819[/tex]
Using the formula of compound interest,
[tex]\Rightarrow A=P(1+\frac{r}{n} )^{nt}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^{52\times 11}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^572\\\\\Rightarrow A=228,786.8[/tex]
Therefore, Mile's account balance after 11 years will be $228,786.8
Learn more about the compound interest here:
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Someone help me with this please
Answer:
4 number
Step-by-step explanation:
16p+32q=1,280
this is too hard for me lol
Answer:
<16 should be 70 degrees. Correct me if I'm wrong.
Answer:
70°
Step-by-step explanation:
[tex]m \angle \: 1 + m \angle \: 2 = 110 \degree...(given) \\ \\ m \angle \: 11 + m \angle \:1 2 = m \angle \: 1 + m \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: m \angle \: 11 + m \angle \:1 2 = 110 \degree \\ \\ now \: \\ m \angle \: 14 + m \angle \:1 5 = m \angle \: 1 1+ m \angle \: 12 \\ (vertical \: \angle s) \\ \implies \: m \angle \: 14 + m \angle \:1 5 = 110 \degree \\ \\ m \angle \: 13 = m \angle \: 16 \: \\ (vertical \: \angle s) \\ \\next \\ m \angle \: 1 1+ m \angle \: 12 + m \angle \: 1 3+ \\ m \angle \: 14 + m \angle \: 1 5+ m \angle \: 16 = 360 \degree \\ \therefore \: (m \angle \: 1 1+ m \angle \: 12 ) + (m \angle \: 1 4+ \\ m \angle \: 15) + m \angle \: 1 3+ m \angle \: 16 = 360 \degree \\ \therefore \:110\degree + 110 \degree + m \angle \: 1 6+ m \angle \: 16 = 360 \degree \\ 220 \degree + 2m \angle \: 16 = 360 \degree \\ 2m \angle \: 16 = 360 \degree - 220 \degree \\ 2m \angle \: 16 = 140 \degree \\ \therefore \: m \angle \: 16 = \frac{140 \degree}{2} \\ \\ \huge \red{ \therefore \: m \angle \: 16 =70 \degree}[/tex]
Find the measure of the missing angle using the exterior angle sum theorm.
Answer:
85°
Step-by-step explanation:
The exterior angle of a triangle is=sum of the opposite interior angles
So
? °=45°+40°
What angle in radians is subtended by an arc of 1.60 mm in length on the circumference of a circle of radius 2.54 mm
Answer:
α = 0.63 radians
Step-by-step explanation:
We are given;
Length of arc; L = 1.6 mm
Radius; r = 2.54 mm
The arc length equation is given by;
L = αr
Where;
L is length of arc
r is radius
α is angle in radians
Thus;
α = L/r
α = 1.6/2.54
α = 0.63 radians
Find the area of the rhombus
Answer:
The rhombus has an area of 240 units. (2nd one on the left).
Step-by-step explanation:
The intersection of diagonals meet at right angles. That means that the labeled sides are the hypotenuse and 1 leg of a right angle triangle. You need to find the other leg by using the Pythagorean Theorem
a^2 + b^2 = c^2
a = 8
b = ?
c = 17
8^2 + b^2 = 17^2
64 + b^2 = 289 Subtract 64
b^2 = 289-64
b^2 = 225 Take the square root of both sides.
sqrt(b^) = sqrt(225)
b = 15
Find the area of 1 triangle
Area = 1/2 * a * b
a = 8
b = 15
Area = 1/2 * 8 * 15
Area = 60
Now find the area of 4 triangles.
4*60 = 240
Can you help me or at least guide me through writing a proof on this?
I'm a bit stuck
Answer:basically if what they want you to prove is correct say it is correct and why is it correct
Step-by-step explanation:
HELP SOMEONE PLEASE!!!!!!!!!!!!!!!!!!!
Answer:
3/10
Step-by-step explanation:
The question asks for the probability of finding 4 or more, so first, you must add up all of the teenagers that have 4 or more shoes. Both the 4 and 5 categories fit, so add 20 and 10. Then, find the total number of people in the sample size. Overall, 100 teenagers are represented. Finally, put the number of people that have 4 or more shoes, 30, over the sample size, 100. This equals 30/100 which should be simplified to 3/10.
The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial?
Answer:
x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75
Step-by-step explanation:
(x⁵ – 3x³ – 3x² – 10x + 15) ˣ (x² – 5) = x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75
heya kitties. graph y−5=43(x−5)
coordinates plz
Given:
The equation is:
[tex]y-5=\dfrac{4}{3}(x-5)[/tex]
To find:
The graph of the given equation.
Solution:
Point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex] ...(i)
We have,
[tex]y-5=\dfrac{4}{3}(x-5)[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]x_1=5,y_1=5,m=\dfrac{4}{3}[/tex]
It means, slope of the line is [tex]\dfrac{4}{3}[/tex] and it passes through the point (5,5).
Putting x=2 in the given equation, we get
[tex]y-5=\dfrac{4}{3}(2-5)[/tex]
[tex]y=\dfrac{4}{3}(-3)+5[/tex]
[tex]y=-4+5[/tex]
[tex]y=1[/tex]
The line passes through the point (2,1). Plot the points (2,1) and (5,5) on a coordinate plane and connect them by a free hand curve as shown below.
PLS HELP i just need the answer :,(((((
what is the equation of the quadratic graph with a focus of (5, −1) and a directrix of y = 1?
Answer:
check the picture below.
so the focus point is at 5, -1 and the directrix is above it, meaning is a vertical parabola, and is opening downwards, like in the picture.
keep in mind that the vertex is half-way between those two fellows, at a "p" distance from either, in this case 1 unit, since the parabola is opening downwards, "p" is negative then, or -1, and the vertex will be from 5, -1 up one unit, so 5,0.
Find the Value of x that makes A parallel to B.
Answer:
x=60
Step-by-step explanation:
help!!!!!
Describe the graph of the function. y = VX-6 +2
I NEED HELP ASAP
Answer:
First answer choice: [tex]y=\sqrt{x}[/tex] shifted right 6 units and down 2 units.
Step-by-step explanation:
Graph
The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. How many pies did the club make?
Which equation can be used to solve this problem? Select all that apply.
Find the area in km2. Round answer to the nearest tenth if necessary
Area of a triangle formula: 1/2 x base x height
Area = 1/2 x 2 x 3.8
Area = 3.8 square km
Answer:
The area of triangle = 3.8km²
Step-by-step explanation:
Given :-
A triangle having length of base is 2km and length of height is 3.8km.
To find :-
Area of triangle.Solution :-
We know that ,
Area of triangle = ½ × Base × height
Substitute the values.Area of triangle = ½ × 2km × 3.8km
Multiply 2km by 3.8km.Area of rectangle = ½ × 7.6km²
Divide by 2 .Area of triangle = 3.8km²
Can someone help me?
Answer:
C
Step-by-step explanation:
its asking for y, on the graph, the line is placed on point 4
Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0
Answer:
x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )
Step-by-step explanation:
I have attached the explanation on the image above, hopefully this help
help I need homework pls help mee
Answer:
4a 2/7.
I could solve just this
Answer:
For #3b, shade in 1 1/2 bars
For 4a, i think it is 3/7
4b is prob 43%
5 i think is abt 0.2 miles
Which function is graphed below?
algebra 2
Answer:
x=0..............................
which of the following are solutions to the equation 2cos2x-1=0
Answer:
x = π/4 and 5π/4
Step-by-step explanation:
Given the expression;
2cos²x - 1 = 0
2cos²x = 0+1
2cos²x = 1
cos²x = 1/2
cos x = ±√1/2
cos x = ±0.7071
x = arccos(±0.7071)
x = ±45 degrees
Convert to radians
Sence 180° = π rad
45° = x
x = 45π/180
x = π/4
If x = -45°
Since cos is negative in the 3rd quadrant
x = 180 + 45
x = 225°
x = 225π/180
x = 45π/36
x = 5π/4