Answer:
Step-by-step explanation:
Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.
Q(-2, -5) & R(8,1)
[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]
So, the slope of the line perpendicular to QR = -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]
Bisector of QR divides the line QR to two half. We have find the midpoint of QR.
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]
slope = 3/5 and the required line passes through (3 , -2)
y - y1 = m(x-x1)
[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]
7z+15+27, z, plus, 15, plus, 2
Answer:
[tex]7z + 15 + 27 \\ 7z + 42 \\ z = 42 \div 7 \\ z = 6[/tex]
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .
Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]
[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]
ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]
ED = 9.25 m
Height of the goalpost is 9.25 m.
A man serves 6 customers in 30 minutes. How many customers can be served in 2 hours?
Answer:
24
Step-by-step explanation:
2 hours * 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
4 * 6 customers = 24 customers
Answer: 24
A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.
We know that
2 hours x 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
= 4 x 6 customers
= 24 customers
Learn more about the unitary method;
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a phrase is shown. seven times the sum of a number ,n, and four . which expression represents the phrase ?
Answer: 7(n + 4)
Step-by-step explanation:
I'm not sure how to explain this one, but I'll try:
Seven times the sum of a number, n, and four
7 times n + 4 (sum means addition)
A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. The total height of the toy is 31cm. What's the total surface area of the toy?
1 465
2 769
3 835
4 912
[tex]\huge\tt\pink{Answer}[/tex]
A≈852.83cm²
Radius
7cm
Height
31cm
Beth wants to build a thin wire frame for a photo that is $$15 cm long and $$6 cm wide. What length of wire will she need to go around the entire photo?
Answer:
42
Step-by-step explanation:
1. PerimeterPerimeter is [tex]2l+2w[/tex]
2. Solving[tex]2(15)+2(6)=30+12=42[/tex]Answer: 42
Hope this helped! Please mark brainliest :)
Find the area of the rhombus
Answer:
60 u²
Step-by-step explanation:
Finding second diagonal :-
d' = √{ 17² - 8²} d' = √{ 289 - 64 } d' = √{ 225 } d' = 15 uUsing formula :-
A = 1/2 * d * d' A = 1/2 * 15 * 8 A = 15 * 4 u²A = 60 u²emily earns $635 per week, how much is that in a year ? ( 52 weeks in a year )
Answer:
Emily will earn $33,020 in one year.
Step-by-step explanation:
635×52=33,020
Find the area of a circle with radius, R = 6.37m.
Give your answer rounded to 2 DP
Answer:
A = 127.48 rounded
Step-by-step explanation:
Area of a circle:
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]
A = 127.48 rounded
Answer:
It's 127.47
First we take the radius and square it
6.37^2
then we multiply it by pi
40.5769 x π = 127.47
Please help guys!
Use point slope formula please
Answer:
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Step-by-step explanation:
The Point Slope formula is a algebraic formula used for
when we know it slope When we know a pair of coordinatesThe formula is
[tex]{y - y _1} = m(x - x_1)[/tex]
We are given its slope and we know a pair of points
Note a y intercept is (0,b). Where b is any real number so our points are (0,2).
Plug it in the expression
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Can anyone answer this I’m having trouble
Answer:
[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]
Can like someone help me I'm lost-
Answer:
the first graph
Answer:
1st option
Step-by-step explanation:
If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.
Answered by GAUTHMATH
The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?
Hello,
Let's x then number of students.
x is divisible by 12,15,18 thus by 180 (lcm)
x=180*k is a square
2²*3²*5*k= a square ==> k=5
x=180*5=900
Proof:
900/12=75
900/15=60
900/18=50
900=30²
Let f be defined as shown. What is f^-1(6)
Hello,
[tex]f^{-1}(6)=5[/tex]
Multiply by using suitable rearrangement: 2 × 4 × 8 × 50 × 125. I need this answer. Quick. Ok, How about I give 15 points? Yeah cool just answer.
Answer:
[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]
The table represents a function
Which value is an output of the function?
46
f(x)
-2
-6
8
07
7
3
4
1-5
3
-2
-5
12
Answer:
Option (2)
Step-by-step explanation:
From the table attached.
First column is representing the x-values (input values) and second column is representing the value of the function (output values).
For x = -6,
f(x) = 8
For x = 7,
f(x) = 3
For x = 4,
f(x) = -5
For x = 3,
f(x) = -2
For x = -5,
f(x) = 12
Therefore, f(x) = -2 is one of the output values.
Option (2) will be the correct option.
The value that is an output of the function among the options is -2.
What is the output of a function?A function relates an input to an output.
A function relates each element of a set with exactly one element of another set.
Therefore, the output are the dependent variable. They are also called range.
Generally, they are regarded as range, output or dependent variables.
Therefore, the output of the table is f(x) values which includes the following:
83-5-2-12Hence, the output of the function in the option is -2.
learn more on functions here: https://brainly.com/question/26608835
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What is the
circumference of Earth's equator?
(Hint. Earth's circumference at the equator is equal to the distance that Earth rotates around the equator).
Answer:
The circumference of Earth's equator is 40,080 km.
Step-by-step explanation:
Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:
24 x 1,670 = X
40,080 = X
Therefore, the circumference of Earth's equator is 40,080 km.
What is the value of y?
the sum of triangle is 180:
[tex]y + 40 + y + 30 = 180 \\ 2y + 70 = 180 \\ 2y = 180 - 70 \\ 2y = 110 \\ y = \frac{110}{2} \\ y = 55[/tex]
Graph and identify image coordinates rx=2
Answer:
Step-by-step explanation:
Rule defining the reflection across the line x = -2 has been given as,
[tex]r_{x=-2}[/tex]
Line x = -2 will work as a mirror for the given triangle J, K, L.
That means distance of the vertices J, K and L and image points J', K' and L' will be equidistant from the line x = -2,
Vertices of the image triangle J'K'L' will be,
J' → (-5, 2)
K' → (-3, 2)
L' → (-4, 1)
Jac is reading this paragraph from The Code Book. Mathematicians have been studying factoring for centuries, and modern factoring techniques are not significantly better than ancient techniques. Indeed, it could be that the laws of mathematics forbid the existence of a significant shortcut for factoring. Which question will best help Jac apply the reading to his own life
Answer:
The answer is "What is important for me to understand?".
Step-by-step explanation:
It is because it is based also on the conclusion that the word in the text read the Jac can draw. Essentially, the particular excerpt read by Jac in his coding book explains that, whether old or new, all older techniques used in the past, compared with the new factorization methods, in truth all shortcuts in mathematics are not feasible and hence all steps have to occur. This implies Jac has to discover what really is important, what he must comprehend, and whether whatever tactics he is using are old and new. The same would be valid of life itself; irrespective of how he chooses to live his life, there are times where shortcuts cannot be used.
El solar de María tiene forma rectangular los lados miden 36 cm y 40 cm cuántos metros cuadrados tiene el terreno? cuál es el perímetro del terreno?
Answer:
Area of rectangular land = 1,440 cm².
Perimeter of rectangular land = 152 cm
Step-by-step explanation:
Given:
Length of rectangular land = 36 cm
Width of rectangular land = 40 cm
Find:
Area of rectangular land
Perimeter of rectangular land
Computation:
Area of rectangle = length x width
Area of rectangular land = 36 x 40
Area of rectangular land = 1,440 cm²
Perimeter of rectangle = 2[l + b]
Perimeter of rectangular land = 2[36 + 40]
Perimeter of rectangular land = 2[76]
Perimeter of rectangular land = 152 cm
In parallelogram LMNO, what is the measure of angle M? please helppppp
Answer:
80 degrees
Step-by-step explanation:
First find the the angles N and L:
5x=3x+40
2x=40
x=20
m<N= 100 m<L=100
Now we know that the sum os all Interior angles of a parallelogram is 360
and you know that opposite sides are equal
hence,
2y= 360-2(100) y being angle M (or o)
2y= 160
y=80
Carmen simplifies the expression (4 y + 8 x + 6) + 25 + (4 x + 6 y + 7). The coefficient of the variable y in her simplified answer is
Answer: 10
Step-by-step explanation:
(4y + 8x + 6) + 23 + (4x + 6y + 7)
10y + 12x +23 + 7 + 6
10y + 12x + 38
y = 10
Answer:
10
Step-by-step explanation:
just want to feel specialpecial
Please help me finish these for summer school :)
4^12*6^15*7^21
HEELPOOOOPO
9514 1404 393
Answer:
4^4·6^5·7^7 = 1,639,390,814,208
Step-by-step explanation:
Taking the cube root multiplies each exponent by 1/3.
((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)
PLEASE HELP ME im so lost on this
Answer:
Step-by-step explanation:
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Given:
Consider the given function is:
[tex]f(x)=5^x+1[/tex]
To find:
The average rate of change between x = 0 and x = 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
We have,
[tex]f(x)=5^x+1[/tex]
At [tex]x=0[/tex],
[tex]f(0)=5^0+1[/tex]
[tex]f(0)=1+1[/tex]
[tex]f(0)=2[/tex]
At [tex]x=0[/tex],
[tex]f(4)=5^4+1[/tex]
[tex]f(4)=625+1[/tex]
[tex]f(4)=626[/tex]
Now, the average rate of change between x = 0 and x = 4 is:
[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]
[tex]m=\dfrac{626-2}{4}[/tex]
[tex]m=\dfrac{624}{4}[/tex]
[tex]m=156[/tex]
Hence, the average rate of change between x = 0 and x = 4 is 156.
Key West, Florida to Seattle, Washington is 3,518 miles. If it
takes 51 hours to drive there, what is the average speed?
Answer:
69 miles/hour
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Distance travelled = 3,518 miles
Time taken = 51 hours
Average speed = Total distance travelled / Total time taken
= 3,518 miles / 51 hours
= 68.980392156862
Approximately,
Average speed = 69 miles/hour
Answer: 69 miles/hour
Step-by-step explanation:
Christina has a stamp collection she is very proud of. She buys a frame to display her favorite stamps. The frame is 6 inches wide, and a row of 7 stamps fits perfectly across it.
How wide is each stamp?
Write your answer as a proper fraction or mixed number.
Answer:
6/7 inches
Step-by-step explanation:
If 7 stamps fit perfectly, we can find the width of each stamp by dividing the width of the frame by 7:
= 6/7
So, the width of each stamp is 6/7 inches
If P(2, p) is the mid point of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.
Answer:
p = 3
Step-by-step explanation:
Applying,
mid point of A and B is
P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1
From the question,
Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11
Substitute these values into equation 1
P = [(6-2)/2,(-5+11)/2)
P = (2,3)
comparing,
P(2,p) to (4,3)
Therefore,
p = 3
