Find the distance between the two points in simplest radical form (-3,1) (-6,-7) plz
Answer:
√73
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√[-6 - (-3)]² + (-7 - 1)²
√(-3)² + (-8)²
√(9) + (64)
√73
8.5
1.)A loan of 12,000 was borrowed from a bank at 14% per annum. calculate (i) the intrest loan at the end of the first year.
(ii)the total amount owing at the end of the first year
Answer:
(i) interest = $1680
(ii) total amount = 13680
Step-by-step explanation:
Interest.
12000 × 14/100
=168000/100
=1680
Total amount.
Interest + Loan
1680 + 12000
=13680
The area of a opening rectangular window is to be 440 square centimeters. If the length measures x centimeters and the width measures x-2 centimeters, what are the dimensions?
Answer:
[tex]L=1+20i[/tex]
[tex]B=3+20i[/tex]
Step-by-step explanation:
From the question we are told that:
Area [tex]A=440cm^2[/tex]
Generally the equation for For Area is mathematically given by
[tex]A=L*B[/tex]
[tex]A=x*(x-2)[/tex]
Therefore
[tex]x^2-2x-440=0[/tex]
[tex]x=1+20i[/tex]
Therefore The Dimensions are
[tex]L=1+20i[/tex]
[tex]B=1+20i+2[/tex]
[tex]B=3+20i[/tex]
Find the second term of the arithmetic series described by a = -10, an = 26 and Sn = 200. 1. 1.5 2. -8.5 3. 16 4. 25
1. 1.5
2. -8.5
3. 16
4. 25
Answer:
16
Step-by-step explanation:
mark it as the Brainliest
Find the mode of the data.
The number of awards earned
from each school in the district.
1, 3, 1, 5, 7, 8, 10
Mode: [?]
hande in the aroon hoy
Answer:
1
Step-by-step explanation:
The mode is the number that appears most often
1 appears twice in the data list and that is the mode
Answer:
Mode: 1Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH
Answer:
12 additional sticks of butter
Step-by-step explanation:
First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.
y = [tex]\frac{x}{2}[/tex] will be the equation.
Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.
Plug in 24 as x into the equation, and solve for y:
y = [tex]\frac{x}{2}[/tex]
y = [tex]\frac{24}{2}[/tex]
y = 12
So, she will need 12 additional sticks of butter
3+(-7)
solve for x help meee
Answer:
3 + ( -7 )
7 - 3
= 4 is the answer
Check all that are equivalent!
Answer:
3^6, 3^-4 * 3^10, 3^3 * 3^3, and (3*3) * (3*3*3*3) are the answers that are equivalent!
Step-by-step explanation:
These four are correct:-
3² × 3⁴ = 3⁶3-⁴ × 3¹⁰ = 3-⁴+¹⁰ = 3⁶3³ × 3³ = 3³+³= 3⁶(3×3)(3×3×3) = 3²× 3³= 3²+3⁴= 3⁶Hello everyone! Please help me with this! I don't undertsand how to solve it :(
Answer:
x=40
Y= 35
Angle AEC= 55
Step-by-step explanation:
Answer:
[tex]x = 40 \\y = 35 \\\angle AEC = 55^\circ[/tex]
Step-by-step explanation:
Find x :
[tex]( 3x + 5)^{\circ} + ( x +15)^{ \circ} = 180 ^{\circ}[/tex] [tex][ \ straight \ line \ angles \ ][/tex]
[tex]3x + 5 + x + 15 = 180\\\\4x + 20 = 180 \\\\4x = 160 \\\\x = 40[/tex]
[tex]\angle AED \ = 3x + 5 = 125 ^{ \circ}[/tex]
[tex]\angle DEB = (x + 15 ) = 40 + 15 = 55^{ \circ}[/tex]
Find y :
[tex]( y + 20)^{ \circ} + (4y - 15)^{ \circ} = 180^{\circ}\\\\y + 20 + 4y - 15 = 180\\\\5y + 5 = 180\\\\5y = 175\\\\y = 35[/tex]
[tex]\angle AEC = ( y + 20 ) = 35 + 20 = 55^\circ\\\\\angle BEC = (4y - 15) = 4(35) -15 = 140 - 15 = 125^\circ[/tex]
What is the volume of the rectangular prism?
Answer:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.
Please give me the answer and show me how you solved it
Answer:
I think it is option 1
Step-by-step explanation:
11/4 x 1/2
[tex]\frac{11 *1}{4 * 2} = \frac{11}{8}[/tex]
which would equal: [tex]1\frac{3}{8}[/tex]
I might be wrong.
Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints. Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.
Answer:
Charlene claim is true.
Step-by-step explanation:
Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints.
It is not necessary as shown in the diagram (a).
Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.
It is true as shown in the diagram (b).
So, Charlene claim is true.
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
–196
–168
22
78
Answer:
-168
Step-by-step explanation:
because f(x) = 8 - 10xg(x) = 5x + 4
(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50x^2 - 40x(fg)(x) = 32 - 50x^2
(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -168
The coordinates of p and q are p(3,5) and q (7,1). Find the gradient of pq
Hi there!
[tex]\large\boxed{\text{Gradient = -1}}[/tex]
We can find the slope using the slope formula:
Slope = (y2-y1)/(x2-x1)
Plug in the given coordinates:
Slope = (1 - 5)/(7 - 3)
Simplify:
Slope = -4/4
Slope = -1
Mikes truck can drive 115 miles on 5 gallons of gas. How many miles can be driven with 11 gallons of gas, using the same mpg?
Answer:
253 miles
Step-by-step explanation:
Ratio:
115:5 and x:11
Method 1:
115/5 = x/11
1265 = 5x (cross multiplying)
x = 253 miles
Method 2:
11/5 = 2.2
2.2 x 115 = 253
253 miles
Method 3:
115 / 5 = 23
23 x 11 = 253
253 miles
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Prove that the following four points will form a rectangle when connected in order
by showing the diagonals are congruent. Show all work.
A(0, -3), B(-4, 0), C(2,8), D(6.5)
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between A(0, -3) and C(2, 8),
AC = [tex]\sqrt{(8+3)^2+(2-0)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = [tex]\sqrt{(5-0)^2+(6+4)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
what is 200x149 who can answer that for me i need help on this my teacher said i cant use couculater
Answer:
29,800
Step-by-step explanation:
that will be 149 x 2 which equals 298
149
×2 Multiply 9 × 2 = 18
------ Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1
298
Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)
Final answer: 29800
Kevin bought dvds of different movies he spent $5 for each movie the equation y=5 shows how much he spent for the movies
Answer:
The dependent variable is y (the amount paid)
Step-by-step explanation:
Given
[tex]y = 5x[/tex]
Where
[tex]x \to[/tex] number of movies
[tex]y \to[/tex] amount paid
Required
The dependent variable
From the question, we have:
[tex]y = 5x[/tex]
This means that the value of y is determined by the value of x.
Take for instance:
[tex]x = 2[/tex]
The value of y will be:
[tex]y =5*2 = 10[/tex]
If x changes (say; x = 12), y will also change
[tex]y =5*12 = 60[/tex]
Hence, y is the dependent variable
Determine the measure of angles 1, 2 and 3.
Measure of 211
Measure of 22
O
Measure of 23
22°
479
1
262
3
Answer:
1) 40
2) 118
3) 71
Step-by-step explanation:
3) is the easiest. All interior angles add to 180
Angle 3 = 180 - 62 - 47
Angle 3 = 71
2) Angle 2 is on the same straight line as 62 and together they equal 180
Angle 2 = 180 - 62
Angle 2 = 118
1) Using 22, Angle 2 and the knowledge that all interior angles equal 180
180 - 22 - 118 = Angle 1
40 = Angle 1
Help needed right now please.
A)Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,
I need help quick it's urgent!
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
start by squaring both sides:
[tex](\sqrt{-8+3x} )^2=(2)^2[/tex]
squaring a square root cancels it out:
[tex]-8+3x = 4[/tex]
solve for x by first adding 8 to both sides:
[tex]3x=12[/tex]
then divide both sides by 3:
[tex]x=4\\[/tex]
What is the following sum?
Answer:
i think its c
Step-by-step explanation:
Solve using the quadratic formula and show work: 2x^2+5x+4=0
Answer:
No solution
Step-by-step explanation:
x = -5 +- √5^2 -4 x 2 x 4/ 2 x 2
x = -5 +- √-7/4
d = -7
The square root can't be a negative number so it is no solution.
give me the factors of 30
Answer: 1,2,3,5,6, and 10
Step-by-step explanation:
Julie has won 4 prizes after rolling up the rims of 24 coffee cups. How many prizes can
she expect to win if she rolls up the rim of 54 cups?
Answer: 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Nice to see someone from Canada asking a question.
Set up a proportion
4/24 = x/54 Cross Multiply
4*54 = 24*x Combine the left
216 = 24x Divide by 24
x = 216/24
x = 9
She should expect 9 prizes
The areas of the squares adjacent to two sides of a right triangle are shown below.
What is the area of the square adjacent to the third side of the triangle?
Answer:
[tex]85\:\mathrm{units^2}[/tex]
Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Therefore, let [tex]h[/tex] be the side length of this largest square. Since the area of a square with side length [tex]s[/tex] is given by [tex]s^2[/tex], [tex]h^2[/tex] will represent the area of the square:
[tex]\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}[/tex]
Answer:
85
Step-by-step explanation:
We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.
Area of a square=side^2
So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.
For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.
Let's fill in the remaining values:
a^2 + b^2 = x^2
35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.
What is the y intercept of the line that has a slope of 4 and goes through the point (-3, 12)?
Answer:
y = 4 x + 24 i think thats the answer if not im sorry
Step-by-step explanation:
PLEASE HELP I'LL GIVE BRAINLIEST!!! Tysm, it's urgent plz
The force, F (Newtons), between two
objects is inversely proportional to the
square of the distance, d (metres),
between them.
The force is 0.35 Newtons when the
distance between the objects is 8 metres,
Work out F (rounded to 2 DP) when
d = 7 metres.
F
Newtons
Answer:
F=0.46N
Step-by-step explanation:
[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],
[tex]F=\frac{k}{d^{2} } \\[/tex]
[tex]F=0.35N, d=8m\\[/tex]
[tex]0.35=\frac{k}{8^{2} }[/tex]
[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]
a cube that is used as a table is 2ft on each side. how many square feet will be painted if all sides are painted
A. 24ft²
B. 48ft²
C. 36ft²
Answer:
A
Step-by-step explanation:
answer is in above photo
What equation would represent a line with a slope of 1/3 and a y-intercept of -1?
Answer:
1/3+(-1)
Step-by-step explanation: