hi
if the twi lines are parallel , they have the same slope.
So slope is 1/2.
equation of a line is : mx +p
The line goes throught (-2 ; 4)
We have 1/2 ( -2) + p = 4
- 2/2 +p = 4
-1 +p = 4
p = 4+1
p = 5
equation of the line is y = 1/2x +5
When translating the point (5,0) 6 units up and 4 units to the right, we should get:
Answer:
(9,6)
Step-by-step explanation:
"Up" indicates y-axis. "Right" is horizontal motion, so x-axis. We add positive 6 to the y-value and positive 4 (since it's going to the right) to the x-value.
Hope this helps!
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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Estimate the difference.
6.11 - 1.2
Answer:
5.9
Step-by-step explanation:
Answer:
it is 5.9
Step-by-step explanation:
35/27 as a mixed number
Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
106°
Step-by-step explanation:
they are parallel to each other
Answer: 106
Step-by-step explanation:
PLEASEEEEEE HELPPPPP ASAPPPP
find the gif of the terms of the polynomial. 52x^8 + 12x^3
Answer:
The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.
Step-by-step explanation:
what's the slope intercept form
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
si en una caja hay 5 pelotas una verde una amarilla.una azul.una negra y una roja ya a salido la rija y la verde cual es la posibilidad de sacar la azul en una cuarta vez
Answer:
uno a tres
Step-by-step explanation:
Creo que es correcto
Avísame si estoy equivocado
Y que tengas un feliz día de acción de gracias
help with math hw please
Answer:
x = 4
Step-by-step explanation:
All of the sides are the same so every angle is 17x-8.
Every triangle adds up to 180 degrees.
3(17x-8)=180
51x-24=180
+24 +24
51x=204
x= 4
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
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 cab company charges $3.10 flat rate in addition to $0.85 per mile. Rex has no more than $15 to spend on a ride. Write an inequality that represents Rex's situation. How many miles can Rex travel without exceeding his limit? Round off your answer to nearest tenth.
Answer:
Step-by-step explanation:
Let the total number of miles Rex can travel be x;
If a cab company charges $0.85 per mile, then x miles will cost $0.85x
If the flat rate rate charge is $3.10, the total price for x miles will be;
0.85x + 3.10
Since Rex has no more than $15 to spend on a ride, the inequality to represent the equation will be;
0.85x + 3.10 ≤ 15 (less than or equal to means that the total value cannot exceed $15)
Next is to solve for x
Given
0.85x + 3.10 ≤ 15
subtract 3.10 from both sides
0.85x + 3.10-3.10 ≤ 15-3.10
0.85x ≤ 15-3.10
0.85x ≤ 11.90
x ≤ 11.90/0.85
x ≤ 14
This means that Rex can travel 14 miles without exceeding his limit
Answer:
[tex]3.10 + 0.85m \leq 15[/tex]
[tex]m \leq 14.0[/tex]
Step-by-step explanation:
Given
[tex]Flat\ Rate = \$3.10[/tex]
[tex]Addition = \$0.85[/tex] (per mile)
[tex]Maximum\ Amount = \$15[/tex]
Required
Determine the inequality that represents the scenario and solve
Let the number of miles be represented by m.
The company's charges can be calculated using:
[tex]Flat\ Rate + Additional\ Charges * m[/tex]
Substitute values
[tex]\$3.10 + \$0.85 * m[/tex]
Rex can't exceed $15 implies that the company's charges can't exceed Rex's budget.
This is expressed as:
[tex]\$3.10 + \$0.85 * m \leq \$15[/tex]
[tex]\$3.10 + \$0.85m \leq \$15[/tex]
[tex]3.10 + 0.85m \leq 15[/tex] ---- The inequality
Solving for m: Collect Like Terms
[tex]0.85m \leq 15 - 3.10[/tex]
[tex]0.85m \leq 11.9[/tex]
Divide through by 0.85
[tex]m \leq 11.9/0.85[/tex]
[tex]m \leq 14.0[/tex] ---- The solution
1. The circle C has centre (5,k), where k is a constant. The line y = 2x + 1 is tangent to C at point
A (3,7). Find the equation of C.
Answer:
[tex](x-5)^2+(y-6)^2=5[/tex]
Step-by-step explanation:
Equation of the Circle
A circle centered at (h,k) and radius r can be written with the equation:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We are given the center (5,k), thus:
[tex](x-5)^2+(y-k)^2=r^2[/tex]
We know the point (3,7) belongs to the circle. This means the distance between the center and this point is the radius.
Given two points (x1,y1) and (x2,y2), the distance between them satisfies:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Calculating the radius, we have:
[tex]r^2=(7-k)^2+(3-5)^2[/tex]
[tex]r^2=(7-k)^2+4\qquad\qquad [1][/tex]
Now we use the fact that the line y=2x+1 and the circle are tangent at (3,7). The radius and the line are perpendicular at that point. Two perpendicular lines with slopes m1 and m2 satisfy the condition:
[tex]m_1\cdot m_2=-1[/tex]
The line y=2x+1 has a slope of m1=2, thus the slope of the segment from (5,k) to (3,7) has a slope of -1/2:
The slope is calculated as:
[tex]\displaystyle \frac{7-k}{3-5}=-\frac{1}{2}[/tex]
Operating:
[tex]\displaystyle \frac{7-k}{-2}=-\frac{1}{2}[/tex]
Multiplying by -2
[tex]\displaystyle 7-k=1[/tex]
Solving:
k=6
From [1] the radius is:
[tex]r^2=(7-6)^2+4[/tex]
[tex]r^2=1+4[/tex]
[tex]r^2=5[/tex]
Finally, substituting into the equation of the circle:
[tex]\mathbf{(x-5)^2+(y-6)^2=5}[/tex]
The graph can be seen in the figure below.
Answer:
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 1,035 divided by 38
Answer:
27.2368421053
Step-by-step explanation:
a number b divided by -3 is greater than or equal to 6
b ≤ −18 or (−∞, −18)
Need a step by step explanation please,very confused!
First, you would subtract the x from both sides to get -4y=8-x. Then you divide by -4 to get y=-2+1/4x. You rearrange your answer to get y=1/4x-2. Then you would graph starting at negative two on the y-axis, or the vertical line, and then go up 1 and over 4 to draw the next dot. Hope this helps!
Answer:
this is it
Step-by-step explanation:
i hope it doesn't crop out and that it helps
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 is the measurement of each base angle?
Step-by-step explanation:
isosceles triangle6 X+8 = 9 X_25 9 X _6X =25 +83×= 33X=11base angle = 74A 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:
Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions what is the maximum number of portions she stored
Given :
Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions.
To Find :
The maximum number of portions she stored.
Solution :
Let, number of portions she stored is n.
Amount of rice left, A = 30 - 7.5 = 22.5 pounds.
Now, number of portions of 4.5 pounds she stored :
[tex]n = \dfrac{22.5}{4.5}\\\\n = 5[/tex]
Therefore, maximum number of portions she stored is 5.
Hence, this is the required solution.
A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)
Answer:
27/2
Step-by-step explanation:
Hope this helps! Also dont add comments to get gems like bruh ;-;
Answer: 27/2
Step-by-step explanation:
[tex]9\cdot \:1=x\frac{2}{3}[/tex]
[tex]x\frac{2}{3}=9\cdot \:1[/tex]
[tex]x\frac{2}{3}=9[/tex]
[tex]3x\frac{2}{3}=9\cdot \:3[/tex]
2x= 27
x= 27/2
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Help ASAP plz
Jacob bought 5 boxes of pencils for his drawing class. Each box contains 12 pencils. Which point on the graph shows the number of pencils he bought?
Answer:
it would be (5,60)
Step-by-step explanation:
he bought 5 boxes
each box has 12 pencils
5*12=60
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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1. 165.45 ÷ 1000 =
2. 762.78 ÷ 100 =
3. 76.94 ÷ 10 =
4. 14352.89 ÷ 1000=
5. 12.30 ÷ 10 =
Answer:
1. 0.16545
2. 7.6278
3. 7.694
4. 14.35289
5. 1.23
Step-by-step explanation:
Just divide.
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.
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Given: F=(0,1),(2,4),(4,6),(6,8) and g=(2,5),(4,7),(5,8),(6,9),(7,5) (fxg)(2)
Answer:
(F-G)(x) = -1
Step-by-step explanation:
The notation (F - G)(x) means to subtract each function when x = 6. According to the sets when x = 6 then F is (6,8) and G is (6,9). To subtract the functions, subtract their output values. (F-G)(x) = 8 - 9 = -1.
Step-by-step explanation:
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[tex]f \times g = (2 \: , \:4 \times 5) \: , \: (4 \: , \: 6 \times 7) \: , \: (6 \: , \: 8 \times 9) \\ [/tex]
[tex]f \times g = (2 \: , \: 20) \: , \: (4 \: , \: 42) \: , \: (6 \: , \: 72) \\ [/tex]
_________________________________
Thus ;
[tex](f \times g)(2) = 20[/tex]
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What is 3x-4y=10 on a graph
Answer:
Step-by-step explanation: