Answer:
Line 2 ║ Line 3
Step-by-step explanation:
y = mx + b
~~~~~~~~~~
Line 1: y = - 7x + 6
Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18
Line 3: y = - 3x - 8
Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]
[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex] ⇒ Line 2 ║ Line 3
A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Answer: ab =6
have:
[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]
=> a + b + 1 = ab
⇔ a + b + 1 - ab = 0
⇔ b - 1 - a(b - 1) + 2 = 0
⇔ (b - 1)(1 - a) = -2
because a and b are postive integers => (b - 1) and (1 - a) also are integers
=> (b - 1) ∈ {-1; 1; 2; -2;}
(1 -a) ∈ {-1; 1; 2; -2;}
because (b -1).(1-a) = -2 => we have the table:
b - 1 -1 1 2 -2
1 - a 2 -2 -1 1
a -1 3 2 0
b 0 2 3 -1
a.b 0 6 6 0
because a and b are postive integers
=> (a;b) = (3;2) or (a;b) = (2;3)
=> ab = 6
Step-by-step explanation:
Solve for n, 4 x n = 7 x 16
Answer:
n=28
Step-by-step explanation:
Do I have to explain how i got the answer?
Answer:
4n=112
n=112/4
n=28
Step-by-step explanation:
Please give me brainliest, if I helped you
What is 3x-4y=10 on a graph
Answer:
Step-by-step explanation:
After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?
Answer:
125 m
Step-by-step explanation:
The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.
By Pythagoras theorem
[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]
Christina had to travel 125 m from the three-way junction to the church.
The distance Kristina travelled from the three-way junction to the church is; x = 125 meters
We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.
This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.
Now, we are told that the displacement between the church and McDonalds is 191.442 meters.
The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.
Using Pythagoras theorem, we have;
x² + 145² = 191.442²
x² = 191.442² - 145²
x² = 15625.039364
x = √15625.039364
x = 125 meters
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find the length of side BD round your answer to the nearest hundred
Answer:
The length of side BD is 4.62 units to the nearest hundredth
Step-by-step explanation:
In Δ ABC
∵ m∠ABC = 90°
∵ BD ⊥ AC
∴ AB × BC = BD × AC
∵ AB = 12 units
∵ BC = 5 units
∵ AC = 13 units
→ Substitute them in the equation above
∴ 12 × 5 = BD × 13
∴ 60 = 13 BD
→ Divide both sides by 13 to find BD
∴ 4.615384615 = BD
→ Round it to the nearest hundredth
∴ BD = 4.62 units
∴ The length of side BD is 4.62 units to the nearest hundredth
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed, while only 12% of the 525 boys were left handed. Which is closest to the number of left-hander girls at mason Junior high school?
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:
= 32% × 475
= 32/100 × 475
= 0.32 × 475
= 152 left handed girls
Estimate the difference.
6.11 - 1.2
Answer:
5.9
Step-by-step explanation:
Answer:
it is 5.9
Step-by-step explanation:
PLEASEEEEEE HELPPPPP ASAPPPP
Tara has already run 7 miles on her own, and she expects to run 1 mile during each track
practice. How many track practices would it take for Tara to run 23 miles?
Explain please
Answer:
15 track practices
Step-by-step explanation:
because 23 minus the 7 she already ran is 15 which she runs 1 each practice
Answer:
16
Step-by-step explanation:
because if you minus 7 from 23 you get 16 so she would have to have 16 practices
Which values represent solutions to the equation?
Tan(3Pi/4-2x)=-1, where x = [0,pi]
The value of the variable x will be {0, pi/2, pi}. Then the correct option is B.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric equation is given below.
tan (3π/4 - 2x) = - 1
We know that the value of tan 3π / 3 is negative one. Then the equation will be
tan (3π/4 - 2x) = tan 3π/4
Apply inverse of tangent on both sides, then the equation will be
(3π/4 - 2x) = 3π/4, -π / 4
- 2x = 0, -π
2x = 0, π
x = 0, π/2
Then the value of the variable x will be {0, pi/2, pi}.
Then the correct option is B.
The question was incomplete, but the complete question is given below.
Which values represent solutions to the equation? tan(3pi/4 - 2x) = -1, where x ∈ [0,pi]
A) {0, pi}
B) {0, pi/2, pi}
C) {0, pi, 2pi}
D) {0, pi/2, pi ⋅ 3pi/2}
More about the trigonometry link is given below.
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The temperature at midnight was −11°C. By midday, the temperature was 5°C.
What was the temperature during the morning?
Explain what method you used to find the temperature change.
Answer:
-3 celcius
Step-by-step explanation:
Answer:
6 ℃
Step-by-step explanation:
by substacring u will see it
It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
Write numerical answer only (no sentences, no units) i need help ASAPPP!! I'll give brainliest
work it out
Step-by-step explanation:
Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:
Answer:
slope of 10/1 or simplified to 10
Step-by-step explanation:
Answer:
slope is 10/7
Step-by-step explanation:
use the formula or plot the points on a graph to get the slope is 10/7
what's the slope intercept form
y = 4x + 2 :) help please
Answer:
This equation is already complete to its maximum stage.
Step-by-step explanation:
If you want other possibilities of this equation here:
y - 2 = 4x
4x = y - 2
x = [tex]\frac{y - 2}{4}[/tex]
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer: Not enough info
Step-by-step explanation:
please I need help I will mark brainiest
Answer:
sorry i looked and i tried, but i dont know the answer.
Step-by-step explanation:
2. If mZ1 = 71 degrees, find the measure of the other 7 angles.
The measure of the other 7 angles are;
m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8 = 71°; m∠6 = m∠7 = 109°
We are given;
m∠1 = 71°
Thus;
m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°
Thus; m∠1 + m∠2 = 180°
71 + m∠2 = 180°
m∠2 = 180 - 71
m∠2 = 109°
Now, m∠2 and m∠3 are alternate angles and as such;
m∠2 = m∠3
Thus; m∠3 = 109°
Similarly,
m∠1 and m∠4 are alternate angles and as such;
m∠1 = m∠4
Thus;
m∠4 = 71°
m∠1 and m∠5 are corresponding angles and as such;
m∠1 = m∠5
Thus;
m∠5 = 71°
m∠2 and m∠6 are corresponding angles and as such;
m∠2 = m∠6
Thus;
m∠6 = 109°
Similar to how angles were gotten earlier, we can say that;
m∠5 = m∠8 = 71°
and m∠6 = m∠7 = 109°
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1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.
Answer:
y=2x
Step-by-step explanation:
Explain how can you use place value to compare 1.679 and 1.697.
Thanks!
Answer:
Well, you look at each individual place value.
1.679 and 1.697
Compare 1 to 1. They are the same. Move on.
Compare 0.6 to 0.6. They are the same. Move on
Compare 0.07 and 0.09. They are not the same. 0.07 is less than 0.09
Therefore 1.679 < 1.697
Hope this helps :)
Please consider Brainliest :)
Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.
Answer:
Step-by-step explanation:
x^2= -25
x=5i and -5i
Answer:
The answer is 5
Step-by-step explanation:
x^2= -25
x=√-25
x=5
Determine o valor do termo representado pela incógnita nas proporções a seguir.
a) x6= 32
b) 15= 4y
c) 2x+39= 57
Me ajudem pelo amor de deus
Answer:
a. x6= 32
x = 32/6
x = 5.33
b. 15 = 4y
4y = 15
y = 15/4
y = 3.75
c. 2x+39= 57
2x = 57 - 39
x = (57 - 39)/2
x = 9
9. What is the domain of the relation {(−2, 4), (1, 3), (0, −4), (3, 2)}?
Answer:
{-2, 0, 1, 3}.
Step-by-step explanation:
First of all domain is the x- coordinates. The domain of the relation is
{-2, 0, 1, 3}.
Hope this helped! If so, plz mark brainliest.
The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).
What is the domain in relation?It is the set of all x values and the range represent the set of all y values with respect to the set of ordered pairs. It should be written as the (x,y) at the time when the set of ordered pairs, so first we have to find the domain for x values from the relation.
hence, The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).
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loren wants to buy a golf club that is $98 today it is on sale for 25% off how much is the discount and what is the sale price
The discount is $24.5 and Sale Price is $122.5.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
loren wants to buy a golf club that is $98.
Sale= 25% off
So, the discount is
= 98 x 25/100
= 98 x 1/4
= $ 24.5
and, the Sale Price is
= 98 + 24.5
= $122.5.
Learn more about Percentage here:
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Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
106°
Step-by-step explanation:
they are parallel to each other
Answer: 106
Step-by-step explanation:
There were 5 boys for every 8 girls at Foster High School last year. If there were 390 students at the school, how many were girls and how many were boys?
Answer:
it would be 150 boys and 240 girls
Step-by-step explanation:
HELP
1.75^-0.5
(3/2)^2.4
Answer:
first off i just want to say i hate aleks but ill still give the answer
Step-by-step explanation:
1.75^-0.5 = 0.75592894
3/2^2.4 = 2.6461778
The shadow of an object varies directly with its height.The shadow of a 25 ft trees is 6 ft.How long is the shadow of an 18 ft tree
Answer:
Well i got 4.32 but im not completely sure
Step-by-step explanation:
A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-
bedroom condo. The total rent she receives is $1240. She needs to make repairs on the
condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-
bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total
repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.
How much is the rent for all three condos? Define your variables then write and solve a
system of equations.
Answer:
1 bedroom = $280
2 bedroom = $400
3 bedroom = $560
Step-by-step explanation:
Given that :
Total rent received = 1240
Rent amount of 3 bedroom = 2 times rent of 1 bedroom
Let 1 bedroom = x
2 bedroom = y
3 bedroom = 2x
x + y + 2x = 1240
3x + y = 1240 ---(1)
Repair cost :
10% of x = 0.1x
20% of y = 0.2y
30% of 2x = 0.6x
0.1x + 0.2y + 0.6x = 276
0.7x + 0.2y = 276 - - - (2)
From (1)
y = 1240 - 3x
0.7x + 0.2(1240 - 3x) = 276
0.7x + 248 - 0.6x = 276
0.1x + 248 = 276
0.1x = 28
x = $280
1 bedroom = $280
3 bedroom = $280 * 2 = $560
2 bedroom = $1240 - $840 = $400
will give BRAINLIEST
Find the area of each circle
. Round to the nearest tenth.
Answer:
13: 312yd squared
14: 907.5 rounded up but not rounded is 907.46
Step-by-step explanation:
this is because the formula is pi*r^2 so you'd
Step by step:
1. 20yd/2= 10 to get the radius for 13
2. substitute r in the formula pi*r^2 for 10 making it pi*10^2
3. multiply 10 by itself, 10*10=100
4. multiply pi by 100, 3.14*100= 314
314yd^2 is the answer for 13
14:
1. 34ft/2=17 to get the radius for 14
2. substitute r on the formula pi*r^2 for 17 making it pi*17^2
3. multiply 17 by itself, 17*17=289
4. multiply pi by 289, 3.14*289=907.46
5. round 907.46 to the nearest tenth, 907.5
907.5ft^2 is your answer
hope this helps :)
a number b divided by -3 is greater than or equal to 6
b ≤ −18 or (−∞, −18)