Find an equation of the line having the given slope and containing the given point m= - 8, (2,5) The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)
Answer:
Equation of line is y = -8x + 21
Step-by-step explanation:
Slope, m = -8
General equation of line:
[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]
At point (2, 5), y = 5 and x = 2:
[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]
Therefore:
[tex]{ \sf{y = - 8x + 21}}[/tex]
[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]
Jeff reads 5/7 of a book in 4 hours. At this rate, how much did he read in 1 hour? Please answer this correctly. Don't put a link i will report you.
Answer:
Jeff read 5/28 of a book in 1 hour.
Step-by-step explanation:
The rate given is 5/7 of a book read in 4 hours.
If the questions asks how much he read in 1 hour, it means the answer needed is a unit rate.
A unit rate is a rate per unit. In this case, a rate per hour.
Let’s find how much Jeff read in 1 hour:
5/7 in 4 hours is the rate given so:
5/7 ÷ 4
= 5/7 x 1/4
= 5/28 (already simplified/final answer)
SO, Jeff read 5/28 of the book in 1 hour.
Brainliest? Hope this helped!
Help with number 11 anyone?
Answer:
y = 3/5×x + 1
Step-by-step explanation:
Slope intercept form y= mx + b
since slope = 3/5 => y= [tex]\frac{3}{5}[/tex]x + b
Plug point (-5,-2) to the equation -2 = [tex]\frac{3}{5}[/tex] x (-5) + b
=> b=1
look at image for question and answer
there are 3468 apples in a basket how many children can share them equally
Answer:
3468 children.
Step-by-step explanation:
One apple per person.
Determine algebraically whether the function is even, odd, or neither even nor odd.
A. Neither
B. Even
C. Odd
9514 1404 393
Answer:
B. even
Step-by-step explanation:
Functions are classed according to what happens when x is replaced by -x.
f(-x) = f(x) . . . even
f(-x) = -f(x) . . . odd
__
Here, we have ...
f(-x) = 2/(-x)^2 = 2/x^2 = f(x) . . . . an even function
The points A,B,C and D divide the line segment AD in the ratio 4:3:1 , respectively , and AD = 72cm . What is the length of BD?
Segment addition postulate states that given points X, and Z, on a line, a point Y, can be located between X, and Z, ony if we have;
XZ = XY + YZ
The length of the segment BD is 36 cm
The reason the above value is correct is as follows:
Known:
The ratio in which the points A, B, C, and D divide the line segment = 4:3:1
The length of segment AD = 72 cm
Required:
The length of BD
Method:
Calculate the length of BC and CD and add their values to get BD
Solution:
Let the ratios be given unit proportions of the segment AD such that we have;
AB = 4 units
BC = 3 units
CD = 1 unit
By segment addition postulate, we have;
AD = AB + BC + CD
∴ AD = 4 units + 3 units + 1 unit = 8 units = 72 cm
∴ 1 unit = 72 cm/8 = 9 cm
1 unit = 9 cm
BD = BC + CD by segment addition postulate
BC = 3 units = 3 × 1 unit
∴ BC = 3 × 9 cm = 27 cm
BC = 27 cm
CD = 1 unit
∴ CD = 9 cm
∴ BD = 27 cm + 9 cm = 36 cm
The length of segment BD = 36 cm
Learn more about segment addition postulate here:
https://brainly.com/question/17015321
A number is doubled and 7 is subtracted from the answer, if the result is -25.
-create an equation
-solve the equation to find the number
Please Respond
ASAP
Which of the following points is in the solution set of y > -x^2 + 5?
A.) (2, 4)
b.)(1, 3)
c.)(0, 5)
wrong = reported
ty
The answer is C.) (0, 5)
Explaintion is in the pictures
I believe this is the answer if it isn't I'm sorry for wasting your time by answering.
Hope this helps!
Write the following statement in equation form using variables x and y. "Sum of two numbers is 15 and difference is 11.
Answer:
see explanation
Step-by-step explanation:
Using x and y to represent the 2 numbers with x > y , then
x + y = 15 → (1)
x - y = 11 → (2)
Adding the 2 equations term by term to eliminate y
2x = 26 ( divide both sides by 2 )
x = 13
Substitute x = 13 into (1)
13 + y = 15 ( subtract 13 from both sides )
y = 2
The 2 numbers are 13 and 2
a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many does doe he school have
a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?
Solution :Let the number of boys be x
Data :
Total pupils = 2500
Absent no. of boys and girls = 52 and 1/9
Now,
First of all we need to get the number of girls then add it with the no. of boys absent and then subtract the whole from 2500 to get the required answer.Remaining no of pupils = 2500 - 52 ➝ 2448
Hence, the no. of girls absent = 1/9 of 2448 ➝ 272
Therefore,
Total no. of pupils absent = 52 + 272 ➝ 324
No. of pupils present = 2500 - 324 ➝ 2176
Henceforth, 2176 pupils are present
PLEASE HELP ASAP :))
Sophie tried to evaluate an expression. Here is her work:
92 : 32.2 + 7.6
= 81 - 9.2 + 7.6
Step 1
= 9.2 + 7.6
Step 2
= 18 + 7.6
Step 3
= 25.7
Step 4
= 175
Step 5
Is Sophie's work correct?
Yes, Sophie's work is correct
No, Sophie made a mistake going from Step 1 to Step 2
O No, Sophie made a mistake going from Step 3 to Step 4.
No, Sophie made a mistake going from Step 2 to Step 3
Un vendedor de celulaes tiene una meta diaria de venta si al momento lleva el Q.2,000.00 de la meta que equivale el 20%
Answer:
Sales goal, S = Q. 10,000
Step-by-step explanation:
Let the daily sales goal be S.Given the following data;
Amount sold = Q. 2,000.00Percentage of the sales goal = 20%To find his daily sales goal;
[tex] \frac {20}{100} * S = 2000 [/tex]
[tex] 0.2 * S = 2000 [/tex]
Dividing both sides by 0.2, we have;
[tex] S = \frac {2000}{0.2} [/tex]
Sales goal, S = Q. 10,000
One of the angles of a triangle is 110° and the other two angles are equal.What is the measure of each of these equal angles?
Answer:
x = 35
Step-by-step explanation:
Let x be the one of the other angles
X is also the third angle since we know they are equal
The sum of the angles of a triangle is 180
110+x+x = 180
110 +2x= 180
2x = 180-110
2x= 70
Divide by 2
2x/2 = 70/2
x = 35
Answer:
[tex]x = 35 \degree[/tex]
Step-by-step explanation:
Let the unknown angle be x
Unknown Angles are equal to each other so,
[tex]x + x + 110 = 180[/tex]
sum of the interior angles in a triangle is 180°
[tex]2x + 110 = 180 \\ 2x = 180 - 110 \\ 2x = 70 \\ \frac{2x}{2} = \frac{70}{2} \\ x = 35 \degree[/tex]
describe the Y intercept an end behavior of the following graph
PLEASE HELP
Giải pt: 1 + 2sinxcosx = sinx + 2cosx
Answer:
even i dont know can help
Need helppppp asappppp
it´s a polygon. letter c (decagon) should be right
hope it helps :)
Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,500 meters in 6 seconds 4. $36 for 4 rounds of shrimp
Given:
The ratio and rates:
1. 30 ft. To 60.Ft
2. 51 males to 21 females
3. 1,500 meters in 6 seconds
4. $36 for 4 rounds of shrimp
To find:
The fraction in simple terms for the given ratio and rates.
Solution:
1. 30 ft. To 60.Ft
[tex]\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}[/tex]
2. 51 males to 21 females
[tex]\dfrac{51}{21}=\dfrac{17}{7}[/tex]
3. 1,500 meters in 6 seconds
[tex]\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}[/tex]
4. $36 for 4 rounds of shrimp
[tex]\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}[/tex]
Please help me with this, I am stu pid. UnU
Help anyone can help me do this question,I will mark brainlest.
Answer:
8 cm
Step-by-step explanation:
AM = MC = BM = (1/2) BC => AM , MC , BM = 5, => BC = 10apply pytago => (AC ^ 2) + (AB ^ 2) = (BC ^2)AB = [tex]\sqrt{BC ^2 - AC ^2}[/tex] = [tex]\sqrt{10 ^2 - 6 ^ 2}[/tex] = 8 (cm)Answer:
4
Step-by-step explanation:
So first let's write the information we got
Angle BAC = 90 degrees
Midpoint of BC = M
AC = 6cm
Am= 5cm
Also I found MC = BM, since it has a line that represents both lines are same
so to find it we have to Pythagoras theorem (A^2 + B^2 = C^2), well it is question we have the 'A value and C Value', also we need to find the value of B to find the length of MC and BM
A = 5
C = 6
so therefore to find B^2, we have to do the reverse, we don't add but subtract
C^2 - A^2 = B^2
___________________________________________________________
Moving on to Calculation
6^2 - 5^2 = B^2
36 - 25 = B^2
B^2 = 9
B = √9
B = 3
MC and BM Length = 3 cm
____________________________
Now, we know the length we again need to use Pythagoras theorem to solve this.
Since we know
A = 5
B = 3
So..
A^2 + B^2 = C^2
5^2 + 3^2 = C^2
25 - 9 = C^2
C^2 = 16
C = √16
C = 4
A polynomial has one root that equals 2 + i. Name one other root of this
polynomial.
Answer:
sorry
Step-by-step explanation:
polynomial is not given
question is incomplete
simplify [tex]x^{2} +10x+9[/tex]
Answer:
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} x^2+10x+9=0 \\\\ x^2+\underbrace{x+9x}_{10x}+9=0 \\\\x^2+x+\underline9x+\underline9=0 \\\\x(x+1)+9(x+1)=(x+9)(x+1)[/tex]
arccos 2x + arccos x = TT/2
How to solve find x ?
arccos(2x) + arccos(x) = π/2
Apply cos to both sides, then expand the right side using the identity I mentioned in a comment:
cos(arccos(2x) + arccos(x)) = cos(π/2)
cos(arccos(2x)) cos(arccos(x)) - sin(arccos(2x)) sin(arccos(x)) = 0
Now think of arccos(2x) and arccos(x) as angles in two right triangles. Let θ = arccos(2x) and φ = arccos(x) (and let's also assume that both have measure between 0 and π/2). These are angles such that
cos(θ) = 2x
cos(φ) = x
In these triangles, you then have
sin(θ) = sin(arccos(2x)) = √(1 - 4x ²)
sin(φ) = sin(arccos(x)) = √(1 - x ²)
while
cos(θ) = cos(arccos(2x)) = 2x
cos(φ) = cos(arccos(x)) = x
So the original equation is transformed to
2x ² - √(1 - 4x ²) √(1 - x ²) = 0
Solve for x :
2x ² = √(1 - 4x ²) √(1 - x ²)
(2x ²)² = (√(1 - 4x ²) √(1 - x ²))²
4x ⁴ = (1 - 4x ²) (1 - x ²)
4x ⁴ = 1 - 5x ² + 4x ⁴
0 = 1 - 5x ²
x ² = 1/5
x = ± 1/√5
Now bearing in mind that we assume 0 < φ < π/2, we should have cos(φ) = x > 0, so we take the positive solution,
x = 1/√5
mountains poem in nepali for class 7
Step-by-step explanation:
म नजन्मिदै विधवा भएकी हिमाल
खै! किन हो मेरा यी हेर्ने नयनले उनलाइ
अझै पनि दिन र रातमा
सेतै लुगा पहिरिएकी देख्छ
अचम्म लाग्छ मलाइ पहिरिएकी सेतो लुगा माथि
मुनालले पाइला टेके पनि विष्ठा गरे पनि कहिल्यै
मैलो हुदैन सेतो लुगाको वास्तविक रङ
उत्तिकै सेतो देख्छु म
निर्जीव वस्तु भएनी हिमाललाइ
सजीव मनुस्यको जस्तै चोटको कल्पना गरेको छु मैले
किनकी चोटै चोटले ग्रसित भएकी उनी आजभोली
अपाङ्गको सिकार बनिसकेकी छिन
उनलाइ अन्धो भन्छु म किनकी उनी आँखा देख्दैनन
आँखा नदेखे पनि अरु कसैलाइ सुम्सुम्याउन समेत सक्दैनन
तर पनि कस्तुरी, डाफे,मुनाल,घोरल,चितुवा आदि जनावरहरुको
सहारा दिने आश्रय स्थल भएर उभिएकी छिन, के कम छिन र?
जमिन भित्र उनको खुट्टा गाडिएर होला
खुट्टाको दृश्य मैले अझै पनि देख्न पाएको छैन
कस्तो होला है! हिमालको खुट्टा ? सोचिरहन्छु म
सायद खुट्टा नै छैन र पो कहिल्यै पनि हिड्डुल गर्न सक्दैनन कि?
जब कुनै समयमा चुचुरोमा हावा बहन थाल्यो
एकदिन सेतो कपाल धरतीमा हाम फालेर
नदिहरु बढ्न थाले तर उहीँ बहेको हावाले
हिमालको श्रवण गर्ने कानको जाली
नै फुटाइदिएछ त्यही भएर म भन्छु
हिमाललाइ बहिरो पनि हुनुहुन्छ तपाईं
सधै टोलाएर बसेकी देख्छु म
रोजगारी भन्ने कुरा त उहीँ हो हिमाललाइ
बिहानीपख देखि सन्ध्या काल सम्म
प्रकृतिले बसिबसी ऐना टल्काउने
पदभार ग्रहण गराइदिएको छ जब घाम
झुल्किन्छ उनी अस्ताउन्जेल सम्म ऐना टल्काइरहन्छिन्
त्यसैले म भन्छु हिमाललाइ बिधवा भएर के भो त
खान लाउनको लागि रोजगारी मिलेकै छ क्यारे !
Make sure to round it to tge nearest 10th
Answer:
13.9
Step-by-step explanation:
For the 41° angle, x is the opposite leg, and 16 is the adjacent leg. The trig ratio that relates the opposite leg and the adjacent leg is the tangent.
tan A = opp/adj
tan 41° = x/16
x = 16 * tan 41°
x = 13.9085...
Answer: 13.9
Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.
The statistical question is; "What are the ages of the students in this class?
What is a statistical question?A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.
Among the two questions, the statistical question is; "What are the ages of the students in this class?
Learn more about statistics:https://brainly.com/question/8058700
#SPJ1
Is {3,…} a defined set
Answer:
I am odd number my digits add up to 7 i am bigger than 50 and smaller 100
Can anyone help me please
Answer:
x= 3 and x= -3
Step-by-step explanation:
x^2 -9 = 0
Factor x^2-9
(x+3)(x-3)
If x+3=0, then x= -3
If x-3=0, then x= 3
x-1/x > 1/2
(x>0;x>1)
Step-by-step explanation:
its on the picture.........
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 93.6 mi³
Step-by-step explanation:
Volume of the triangular prism,
base area × height
= (8×3.9/2)×6
= 93.6 mi³
