Answer:
[tex]y+5=-\frac{2}{7} (x-4)[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where the given point is [tex](x_1,y_1)[/tex] and m is the slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3)1) Determine the slope (m)
[tex]-7x+2y=14[/tex]
First, rearrange this given equation into slope-intercept form ([tex]y=mx+b[/tex]) so we can easily find the slope.
Add 7x to both sides to isolate 2y
[tex]-7x+2y+7x=7x+14\\2y=7x+14[/tex]
Divide both sides by 2 to isolate y
[tex]y=\frac{7}{2} x+7[/tex]
Now, we can identify clearly that the slope of this line is [tex]\frac{7}{2}[/tex]. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're currently solving for will have a slope of [tex]-\frac{2}{7}[/tex].
[tex]m=-\frac{2}{7}[/tex]
2) Plug all necessary values into [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
We know that [tex]m=-\frac{2}{7}[/tex] and that the given point is (4,-5). Plug the slope into the equation
[tex]y-y_1=-\frac{2}{7} (x-x_1)[/tex]
Plug the point into the equation
[tex]y-(-5)=-\frac{2}{7} (x-4)\\y+5=-\frac{2}{7} (x-4)[/tex]
I hope this helps!
Estimate the following using general rule.
730+998
796-314
7,720 × 626
6,498 ÷ 52
Answer:
answers rounded to the nearest tens: 1730, 480, 4832720, and 130.
What part of the circle is shown in purple?
Answer:
Radius
Step-by-step explanation:
I know the answer
Answer:
Radius
Step-by-step explanation:
What is the shape of this distribution
Luke randomly selects 25 students from his school and asks each of them how many minutes they read each night to find out how much, on average, students at his school read. This represents which type of data collection
Answer:
Simple random sampling
Step-by-step explanation:
Luke wants to study average minutes students read each night. For that matter, he has selected a 'sample' of 25 students from entire 'population' of students in school.
He has selected the sample students randomly, for collecting data related to minutes of study each night. He also collects data from them directly ie with primary contact with them.
So, primary data collection, simple random sampling - has been used as a type of data collection.
The scatterplot below shows the relationship between the height, in inches, and the shoe size of each of 10 students in a class. Students' Heights and Shoe Sizes 69 Height Based on the scatterplot, what ordered pair represents the outlier in the data? O (67, 7) O (8.5, 65) O (7.67) O (65,8.5)
‼️ PLEASEEE HELPPP ‼️
Answer:
take out x+60 and = x+54 cross multiply for starters
What part of the circle is shown?
Answer:
Diameter
Step-by-step explanation:
The diameter is a straight line through the centre of a circle.
Hope this helps :)
math math math math math
Answer:
85 km
Step-by-step explanation:
The height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 is:
Given:
The volume of a cuboid = 275 cm³
The base area of the cuboid = 25 cm²
To find:
The height of the cuboid.
Solution:
We know that, the volume of a cuboid is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth and h is the height.
It is also written as:
[tex]V=B\times h[/tex] ...(i)
Where, B is the base area and h is the height of the cuboid.
Putting [tex]V=275, B=25[/tex] in (i), we get
[tex]275=25\times h[/tex]
[tex]275=25h[/tex]
[tex]\dfrac{275}{25}=h[/tex]
[tex]11=h[/tex]
Therefore, the height of the cuboid is 11.
Professor Turner wrote the expression below on the chalkboard for his team at the Research Center. He asked the scientists there to write an equivalent expression that eliminated the parentheses.
Answer:
12x + 18y + 6z + 4x - 4z
Step-by-step explanation:
Given the expression : 3(4x + 6y + 2z) + 4(x – z)
To eliminate the parenthesis ; we use the distributive property :
3(4x + 6y + 2z) + 4(x – z) becomes ;
3*4x + 3*6y + 3*2z + 4*x + 4*-z
12x + 18y + 6z + 4x - 4z
Hence,
12x + 4x + 18y + 6z - 4z
16x + 18y + 2z
12) What value of x makes : f(x) = 30
Answer:
f(5) = 30 so x=5
Step-by-step explanation:
We want to find the value of x which makes the y value of the function 30
Looking at the graph x=5 makes y=30
A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?
Answer: 31.38
Step-by-step explanation:
you can always remember a*2+b*2=c*2
add/ multiply a and b to find c
"How much does it cost for a ticket to ride the subway from Station A to Station B?"
Is this an statistical question or its not an statistical question?
Find the value of x. Help fast me need help
Answer:
(5x + 16) + 102 + 92 + 100 = 360
(5x + 16) + 294 = 360
-294 -294
5x + 16 = 66
-16 -16
5x = 50
Divide by 5 on both sides.
x = 10 degrees
A quadrilateral will always equal 360 degrees
A triangle will always equal 180 degrees.
Find the slope of the line that crosses through the points (-2, 5) and (-5, -4)
Answer:
umm i believe it is positive 5
Step-by-step explanation:
i hope i helped
Which of the following is a non linear equation?
i) x/3 = 12
ii) x + 1 = 6
iii) x + y + z = 17
iv) x y + x/y = 3
Answer:
Option (iv) is correct.
Step-by-step explanation:
The linear equation is the equation in which the degree of the equation is 1.
(i) x/3 = 12
As the degree of equation is 1, so, it is a linear equation.
(ii) x + 1 = 6
As the degree of equation is 1, so, it is a linear equation.
(iii) x + y + z = 17
As the degree of equation is 1, so, it is a linear equation.
(iv) x y + x / y = 3
x y^2 + x = 3 y
The degree of equation is 3, so the equation is non linear.
♡BRAINLIEST TO RIGHT ANSWER♡
------Find the surface area of the figure, round your answer to the nearest hundredth if necessary <3
5.1 in
1 in
Answer:
19.47
Step-by-step explanation:
if the radius Is 1 and height is 5.1
1 In triangle MNP the measure of angle NPM is 80° and the measure of angle MNP is 22.5°.
What is the measure of angle PMN in degrees?
Answer:
77.5°
Step-by-step explanation:
Recall that the sum of angles in a triangle is 180 degrees.
Given the triangle MNP with the measure of angle NPM is 80° and the measure of angle MNP is 22.5°
Then
angles NPM + MNP + PMN = 180 degrees
This means that
80 + 22.5 + PMN = 180
102.5 + PMN = 180
Collect like terms
PMN = 180 - 102.5
= 77.5°.
please help i give all my points
where is the drip at?
A full bag of cat food weighs 2 ⅙ pounds. How much cat food do you have if there are 4 ½ bags in the cupboard? *
there would be 2 bags in there
math is hard
I'll mark someone the brainlyest
Answer:
1/w^6 or w^-6
Step-by-step explanation:
You add the two exponents
I recommend putting 1/w^6
Please mark brainliest
If $36.25 in tax is added to the price of an item, what was the original price in dollars of the item?
$400
$500
$483.33
$600
D
Which point is the
orthocenter of AABC?
A. Point D
B. Point E
C. Point F
PLZ HELP ASAPPP I just need with 1 and 2 this is my very last assignment! Thank you guys for all your help this yr!
Answer:
1. a = 32.96 m∠B = 21° b = 12.74
2. x = 24.99
Step-by-step explanation:
1. Use the law of sines:
a/sin 112 = 26/sin 47
a = 26 sin 112/sin 47
a = 32.96
m∠B = 180 - 47 - 112 = 21°
b/sin 21 = 26/sin 47
b = 26 sin 21/sin 47
b = 12.74
2. Use the law of cosines
[tex]x^{2} = 17^{2} + 11^{2} - 2(17)(11) cos 125[/tex]
= 289 + 121 - 374 cos 125
= 624.5175....
x = [tex]\sqrt{624.5175...}[/tex]
= 24.99
If 9x x 3x+1 = 2187, what is the value of x?
Answer:
x = 80.96
Step-by-step explanation:
9x * 3x +1 = 2187
27x +1 = 2187
27x = 2187-1
27x = 2186
x = 2186/27 = 80.96(2dp)
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=-1/2x-1
Step-by-step explanation:
On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?
Answer:
The expected value of the student's score on the test is 3.4.
Step-by-step explanation:
Multiple choice questions:
worth 3 points.
Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:
[tex]m = 3\frac{1}{5} = 0.6[/tex]
True/false questions:
worth 1 point.
2 options, one of which is correct, so the expected value for each is:
[tex]t = 1\frac{1}{2} = 0.5[/tex]
What is the expected value of the student's score on the test ?
4 multiple choice, two true-false. So
[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]
The expected value of the student's score on the test is 3.4.
What is 5/9 +1/3 = I appreciate all answers!!
1.) Multiply Denominator:
9x3= 27
27 will be your new denominator for your answer.
then take 5 and multiply by 3.
5x3=15
then take 1 and multiply by 9.
1x9=9
Afterwards, you plus 15 and 9 to get 24.
so your fraction for the end will be 24/27.
Hi, what is 1/7 + 3/4 first right answer gets brainliest
Answer:
25/28 (Decimal: 0.892857 )
Branliest?
Answer:
[tex]\frac{25}{28}[/tex]
Step-by-step explanation:
Combine the fractions by finding a common denominator.
please help me on this thing
Answer:
85 cm
Step-by-step explanation:
Answer:
68 cm
Step-by-step explanation:
Use the following formula (Pythagorean Theorem) to solve for c:
[tex]c^{2}= \sqrt{(a^{2}) - (b^{2})[/tex]
Substitute values:
[tex]c^{2}= \sqrt{(77^{2}) - (36^{2})[/tex]
Simplify:
[tex]c^{2}= \sqrt{(5,929) - (1,296)}[/tex]
[tex]c^{2}= \sqrt{4633}[/tex]
c ≈ 68 (rounded from 68.07)