Answer:
(57.1 miles per hour. )
7.8 hours
Step-by-step explanation:
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
What is the slope of the line that contains diagonal OE?
Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
We know that the diagonals are perpendicular bisectors of each other.As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
In a sale the price of a sofa is reduced by 70%. The price is £255 Work out the price before the sale
Answer:
850
Step-by-step explanation:
850*0.3=255
Chris's age is 17 more than one-fourth of Brian's age. How old is Chris if Brian is 27?
Answer:
23.75
Step-by-step explanation:
Given that:
Brian's age = 27
Age of Chris is 17 more than one - fourth of Brian's age.
To find:
Age of Chris = ?
Solution:
Let age of Chris = [tex]x[/tex]
One - fourth of Brian's age = [tex]\frac{27}{4}[/tex]
17 more than One - fourth of Brian's age = [tex]\frac{27}{4}[/tex] + 17
Therefore, we can write the equation as per question statement:
[tex]x = \frac{27}{4} + 17\\\Rightarrow x = 6.75+17\\\Rightarrow \bold{x = 23.75}[/tex]
Therefore, Chris is 23.75 years old if Brian is 27.
Three ballet dancers are positioned on stage. Greta is straight behind Bryan and directly left of Alice. If Bryan and Greta are 12 meters apart, and Alice and Bryan are 13 meters apart, what is the distance between Greta and Alice?
Answer:
12
Step-by-step explanation:
New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?
A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters
Answer:
The correct answer is;
A(n) = 12 + (n-1)11; 166 millimeters
Step-by-step explanation:
Here, we want to write a rule representing the growth
From the question, we can see that the rate of growth is ;
34-23 = 23-12 = 11
This means it grows at a rate of 11 mm per day
So on the 15th day, its height will be;
We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference
The nth term An can be represented as;
An = a + (n-1)d
where a = 12 mm , n = 15 and d = 11 mm
Thus, we have
An = 12 + (15-1)11
An = 12 + 154
An = 166 mm
BRAINIST & 20 POINTS
*random answers will be reported*
Answer:
(0, 13)
Step-by-step explanation:
The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.
2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).
So 1 space left from the midpoint is 1-1=0.
For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.
please give thanks by clicking the heart button! :)
Please answer this question.
Answer:
C) 78
Step-by-step explanation:
its technically 77.5714... but rounds to 78, hope that helps
Answer:
It is 78 because when placed in numerical order it is in the middle
-4x -2y = -12
4x + 8y = -24
x= 6 and y= -6
Step-by-step explanation:
Answer:
x = 6, y = -6
Step-by-step explanation:
After adding the equations together, the 4x and -4x cancel each other out. This makes our new equation:
6y = -36
Divide both sides by 6
y = -6
Plug -6 into y in one of the equations
4x + 8y = -24 =
4x + 8(-6) = -24 =
4x - 48 = -24
Add 48 to both sides
4x = 24
Divide both sides by 4
x = 6
Pls help!
a.) 2 is what percent of 1?
b.) M is what percent of N?
c.) What percent of 88 is 154?
Answer:
A)200%
B)I dont know sorry
C) 57.14. Not sure tho
Hope they are correct
Which of the following equations Are a linear function.
Answer:A IS THE LINEAR FUNCTION
Step-by-step explanation: NO NEED FOR EXPLANATION
–5x + 10 > –15?
solve
Answer:
x<5
Step-by-step explanation:
Answer:
-2 > -15
Step-by-step explanation:
-2 is greater than -15
Identify a pair of perpendicular lines in the given figure.
Question 1 options:
p and t
q and t
s and t
p and q
Im really confused bc ive tried everything and i cant figure this out
-3 7/10 = -3/-4y
its a rational equation
Answer:
y = - [tex]\frac{15}{74}[/tex]
Step-by-step explanation:
Given
- 3 [tex]\frac{7}{10}[/tex] = [tex]\frac{-3}{-4}[/tex] y = [tex]\frac{3}{4}[/tex] y ( change the mixed number to an improper fraction )
- [tex]\frac{37}{10}[/tex] = [tex]\frac{3}{4}[/tex] y
Multiply through by 20 ( the LCM of 10 and 4 )
- 74 = 15y ( divide both sides by 15 )
- [tex]\frac{74}{15}[/tex] = y
helpmepleasethankyou:)
Answer:
Step-by-step explanation:
If we take 1 cup of Original purple paint,
Ratio of blue and red paint = 2 : 3
Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups
Similarly, ratio of blue and red paint in the New purple paint = 5 : 7
If we take 1 cup of New purple paint,
Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups
Therefore, shade of both the mixtures will not be same.
Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.
Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem
ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Given,
m∠H = 30°
m∠J=50°
m∠P=50°
m∠N=100°
In triangle ΔHKJ
m∠H = 30°
m∠J=50°
m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)
m∠K= 100°
In ΔHKJ and ΔLNP,
m∠J = m∠P= 50°
m∠K= m∠N= 100°
According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.
Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.
Hence, ΔHKJ ~ ΔLNP
learn more about similar triangle
https://brainly.com/question/25882965
Does anyone know how to do this?
Answer:
y= Ix-3I (that says absolute value btw)
Step-by-step explanation:
This is the result of starting with y = |x|, then shifting it three units to the right. Replacing x with x-3 moves the xy axis three units to the left, giving the illusion the V shaped curve moved 3 spots to the right.
We don't shift up or down since the vertex is on the x axis.
We also don't vertically compress or stretch the graph either.
Side note: the vertex for this graph is (3,0) which is the lowest point of the curve.
Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription she sells. If Erica made $42.80 on Monday, $64.20 on Tuesday and $74.90 on Wednesday, how many subscriptions did she sell in the three days
to find the number of subscribtion sold we divide the money she made by the price of subscription
monday:
42.80/5.35=8 subscriptions sold
tuesday:
64.20/5.35=12 subscriptions sold
wednesday:
74.90/5.35=14 subscriptions sold
8+12+14=34 subscriptions sold in 3 days
Answer:
34 subscriptions she sold
I am thinking of a number, let's call it x . If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. Use the 4-step process to write and solve an equation to find my number. Make sure to answer in a sentence.
Answer: 6
Step-by-step explanation:
Let the number be x
If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:
(2 × x) + 5 = (3 × x) - 1
2x + 5 = 3x - 1
5 + 1 = 3x - 2x
x = 6
The number you are thinking of is 6
Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4
Answer:
y > x - 2.
2*y + x < 4
The correct option is the third one.
Step-by-step explanation:
First let's find the red shaded part.
We can see that the shade is above the line, then we will have something like:
y > a*x + b
where a*x + b is the equation for the line.
a is the slope, and b is the y-intercept.
In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:
b = -2
To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)
We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:
a = (y2 - y1)/(x2 - x1)
Then for this line, the slope will be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then the equation for this line is:
1*x - 2
And the inequality is:
y > x - 2.
Now for the blue one, the shaded part is below the line, then we will have:
y < a*x + b
In this case, the y-intercept is y = 2.
And we can see that this line passes through the points (0, 2) and (4, 0)
Then the slope is:
a = (0 - 2)/(4 - 0) = -2/4 = -1/2
Then this inequality is:
y < (-1/2)*x + 2
If we rewrite this as the ones shown in the options, we have:
y < (-1/2)*x + 2
2*y < -x + 2*2
2*y + x < 4
Then the two inequalities are:
y > x - 2.
2*y + x < 4
Then the correct option is the third one:
The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph
InequalityInequality is an expression that shows the non equal comparison of two or more numbers and variables
Given the inequalities y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.
The solution of the inequality on the graph is the very dark region.
Find out more on Inequality at: brainly.com/question/24372553
The following is a list of heights for 6 six-year-olds.
50 inches, 47 inches, 36 inches, 42 inches, 47 inches, 45 inches
The median height for these children is 46 inches.
What would happen to the median height if the 50-inch measurement was changed to 47 inches?
A. The median would increase.
B. The median would decrease.
C. The median would stay the same.
D. The median would decrease, then increase.
Answer:
option b the median would decrease
could you answer this question cause i need it for math
Step-by-step explanation:
5p/7-18=-43
5p/7=-43+18
5p/7=-25
5p=-25×7
5p=-175
p=-175/5
p=-35
not sure lol
Answer:
5p/7 = -43+18
5p/7 = -25
5p= -25*7
p = -35
Step-by-step explanation:
What is the value of b?
Answer:
128
Step-by-step explanation:
Add the two numbers then subtract from 360
Circle theorems maths... Please help me!
Answer:
m = n = 14°
Step-by-step explanation:
The angle at the centre is twice the angle at the circumference subtended on the same arc.
angle at circumference = 0.5 × 98° = 49°, then
35° + m = 49° ( subtract 35° from both sides )
m = 14°
Angles subtended on the same arc are congruent.
m and n are 2 such angles, thus
n = m = 14°
Can anybody help with this?
Answer:
12
Step-by-step explanation:
Because < this means less than. So therefore 5 is less than 12
ok so tomorrow i have exams omg haha im so scareddd!!!!!
Answer:
Best of luck! I hope your exam goes well!!!
If anyone knows the answer to this can you help me
Answer:
C. y + 7 = -7(x - 3)Step-by-step explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where m is the slope and (x₀, y₀) is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
y + 7 = -7(x - 3)
A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90° angles, what is the measure of the missing corner?
find the determinant of the following matrix. [2 3] [1. 4]
The determinant of a 2x2 matrix is defined as
[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]
So, in your case, the determinant is
[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]
Given matrix is:
[tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]As we know that,
→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]
then,
The determinant will be:
= [tex]2\times 4-1\times 3[/tex]
= [tex]8-3[/tex]
= [tex]5[/tex]
Thus the above response is correct.
Learn more about determinant here:
https://brainly.com/question/20333341
Isabella's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
The blue and orange lines represent a system. Use the sliders to manipulate the orange line to determine which equations would create a system that has no solution. Check all that apply. Hint: Convert to slope-intercept form.
2x + y = –5
y – 3 = 2x
x + y = –2
–2x = y
2x = 4 – y
Answer:
A) 2x + y = -5
D) -2x = y
E) 2d = 4 - y
Step-by-step explanation:
Answer:
The answers you are looking for is.... A) 2x + y = -5
D) -2x = y
E) 2d = 4 - y
Step-by-step explanation: