Answer:
Equation of Parallel Line: y = -7x - 44
Equation of Perpendicular Line: y = x/7 - 8/7
Step-by-step explanation:
1) Parallel
Substitute (-6, -2) to find C
-2 = -7(-6) + c
-2 = 42 + c
-2 - 42 = c
c = -44
y = -7x -44
2) Perpendicular
Negative reciprocal
Substitute (-6, -2) to find C
-2 = 1/7(-6) + c
-2 = -6/7 + c
-2 + 6/7 = c
c = -8/7
y = 1/7x - 8/7 or
y = x/7 - 8/7
In ΔDEF, EF = 15, FD = 13, and DE = 4. Which list has the angles of ΔDEF in order from smallest to largest?
Answer:
< F , < E, < D
Step-by-step explanation:
ΔDEF
Arrange the sides from smallest to largest
DE = 4, FD = 13, and EF = 15.
Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes the smallest angle.
the angles of ΔDEF in order from smallest to largest
< F , < E, < D
The total height of three people is 14 ft. Person A is 1 ft taller than Person B. Person C is 2 feet shorter than Person B. How tall is person A?
A. 6ft
B. 3ft
C. 5ft
D. 4ft
Step-by-step explanation:
A+B+C = 14
B+1 +B + B-2 = 14
3B -1 = 14
3B = 14+1
3B =15
B = 5
Therefore, A = 5+1 = 6 ft (option A)
__________
[tex] \: [/tex]
14 = A + B + C
14 = (B + 1) + B + (B - 2)
14 = 3b - 1
14 + 1 = 3b
15 = 3b
b = 15 ÷ 3
b = 5
.
A = B + 1
A = 5 + 1
A = 6✔ (A.)
A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]
The density of the gold sample is 19.3g/cm³
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PLEASE HELP I WILL GIVE YOU BRAINLIEST ANSWR!!!!!!
Answer:
Domain: (- infinity, infinity) Range: (-infinity, infinity)
Step-by-step explanation:
ok. look at the x axis.. the graph goes on forever... now y axis, it continues so both are infinity.
Which equation in slope-intercept form has a graph with an x-intercept at 3 and a y-intercept at -2?
Answer:
a
Step-by-step explanation:
A is the answer, since when you graph it, you are able to visualize y crossing -2 and x crossing 3.
find x if m<2=6x-12
a)12
b)9
c)6
d)-7
Answer:
12 ,,............,.,...,,,.
The value of x is 12 (Option a) if m∠2 = 6x - 12.
The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.
From the given information, we have:
m∠2 = 6x - 12
Since all angles of an equilateral triangle are equal, we can set up the equation:
m∠2 = m∠1 = m∠3
Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).
We can equate the measures of the angles:
y = 6x - 12
Now, let's solve this equation to find the value of x:
6x - 12 = y
Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).
6x - 12 = 60
Adding 12 to both sides:
6x = 72
Dividing both sides by 6:
x = 12
Therefore, the value of x is 12.
So, the correct option is: (a) 12
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Which type of parent function is f(x) =^3cubed x
—
A. Square root
O B. Cube root
O C. Reciprocal
D. Quadratic
Help quick!!!
Answer:
Cube Root
Step-by-step explanation:
Because there is a 3 outside the symbol.
That means the equation is stating: y * y * y = x
Hope this helps :)
Find the value of K given x=4 and y=16?
Answer:
When y = 20 ,x is −5
Step-by-step explanation:
May I please receive help?
x-2y=-8 slope intercept form
need it asap plz
Answer:
y = 1/2x + 4
Step-by-step explanation:
hope this helps
Can someone tell me the answer to this please?
Answer:
B
Step-by-step explanation:
Insert 5 geometric means between -4 and -62 500
9514 1404 393
Answer:
Either of ...
{-20, -100, -500, -2500, -12500}{20, -100, 500, -2500, 12500}Step-by-step explanation:
For some common ratio r, the first of the "geometric means" will be -4r, the next will be -4r^2, and so on. The 5th will be -4r^5, and finally, -62500 will be -4r^6.
Solving this last relation for r gives ...
-4r^6 = -62500
r^6 = 15625
Then r can be either of ...
r = ±15625^(1/6) = ±5
For r = 5, the means are ...
-4·5 = -20, and -100, -500, -2500, -12500
For r = -5, the means are ...
-4(-5) = 20, and -100, 500, -2500, 12500
Activity Give the exponential model for the following situation
Answer:
Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?
( A ) First picture signifies the growth of money per year.
( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.
a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+
n
r
)
nt
a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+
1
0.044
)
(1)(18)
a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)
(1)(18)
a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)
(18)
50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.
a = 108.537.29a=108.537.29
Step-by-step explanation:
Hope This Help you!!
Hi- So this is a simple question that I keep forgetting how to answer! HELPPPP
Ok so, The scale factor from Triangle A to Triangle B is 2, so Triangle B is 2 times bigger than Triangle A.
How much bigger is the area of Triangle B than the area of Triangle A?
HELPPPP
Answer:
4 times bigger
Step-by-step explanation:
1. The area of an object dilated by a scale factor (SF) will be equal to (SF)^2.
2. For example, let's say the base and height of Triangle A is 4 and 8. The area would be 16 units squared. The base and height of Triangle B would be 8 and 16. The area would be 64 units squared.
3. As you can see from the aforementioned example, the SF (2) was squared and then multiplied by 16 to get 64.
Therefore, Triangle B's area is 4 times bigger than Triangle A's area.
PLS HELP ASAP ILL GIVE BRAINLIEST TYSM
Answer:
3x+2=16
Step-by-step explanation:
Answer:
the answer is most likely to be rather the first or second choice, but i choose B
Step-by-step explanation:
*Hope this helps*
based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have
3x - 2 = 16
3x +2 = 16
3x + 4 = 20
3x = 24
and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.
I might be wrong but i hope its right...
7) The sum of the angle measures of a
quadrilateral is 360°. Find the value of x.
24
2
Answer:
x=120°
Step-by-step explanation:
X+X+1/2X+1/2X=360
combine all like variables
X+X=2X
1/2X+1/2X=X
2X+X=3X
3X=360
isolate x by dividing both sides by 3
360÷3=120
X=120
16% of 95 is what number?
Please answer this fast I'll mark you as brainliest. Thank You.
Answer:
16% of 95 is 15.2
Step-by-step explanation:
0.16×95= 15.2
Please help me solve this
Answer:
9
Step-by-step explanation:
2(m+2) = 22
Using the distributive property, you can multiply the 2 to both the "m" term and the "2".
2m + 2*2 = 22
2m + 4 = 22
Then you isolate the variable and solve.
2m = 22 - 4
2m = 18
m = 9
2(m + 2) = 22
2(m) + 2(2) = 22
2m + 4 = 22
2m = 22 - 4
2m = 18
2m / 2 = 18 / 2
m = 9
To distribute the 2 to each term inside the parentheses means to multiply the 2 by both terms in the parentheses so
2(m + 2) means (2 × m) + (2 × 4)
can someone help me ??
Answer:
x=5
Step-by-step explanation:
Brainliest?PLEASE?Answer: x=-5
I hop that helped I would appreciate brainliest if possible :)
HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1
A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1
Answer:
D.) an = 4 * an-1
Step-by-step explanation:
a(n) = (1/3) * 4^(n-1)
a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)
Thus,
a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that
a(n) = 4 * a(n-1).
Quis
bentuk pangkat dari
2² + 3² - 2²=
note:. user Indonesia
Answer:
9 Should be your answer
Step-by-step explanation:
[tex]2^{2}[/tex] = 4
[tex]3^{2}[/tex] = 9
These will help us as we solve this problem.
Then: 2² + 3² - 2²
= 4 + 9 - 4
= 9
Kind requests:
Please give brainliest :D
[tex]\sf 7-5x=-43[/tex]
Answer:
[tex]\sf\longmapsto \: x = 10[/tex]
Step-by-step explanation:
Subtract 7 from both sides:
7−5x−7=−43−7
Simplify:
−5x=−50
Divide both sides by −5:
[tex]\sf\longmapsto \: \frac{ - 5x}{ - 5} = \frac{ - 50}{5} [/tex]
[tex]\sf\longmapsto \: x = 10[/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]
[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]
Answer:
x=10
Step-by-step explanation:
[tex]7-5x=-43[/tex]
[tex]7-5x-7=-43-7[/tex] Subtract
[tex]-5x=-50[/tex]
[tex]\cfrac{-5x}{-5}=\cfrac{-50}{-5}[/tex] Divide
[tex]x=10[/tex]
Brandon enters bike races 8 1/2 miles every 1/2 hour.
On a blueprint, the scale says that 2 cm represents 3 m. What is the actual length of a wall if it's measurement on the blueprint is 7 cm?
Answer:
7!!
Step-by-step explanation:
(b) It takes 37 pounds of seed to completely plant a 4-acre field. How many pounds of seed are needed per acre?
Answer:
9.25 lbs
Step-by-step explanation:
37 is the amount for 4 acres or 4a:
37 = 4a
Isolate and find a by dividing both sides by 4:
4a = 37
4a ÷ 4 = [tex]\frac{37}{4}[/tex]
a = [tex]\frac{37}{4}[/tex] or 9.25 lbs
Hope this helps!
The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation
B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.
PLS HELP I NEED THIS ASAP
Answer:
width = 25cm
Step-by-step explanation:
perimeter = 84
length =17
A) 84 = 17(2) + 2w
B) 84 = 34 + 2w
-34 -34
50=2w
/2 /2
25=w
If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
Given:
[tex] \rm \longmapsto x = a \sin \alpha \cos \beta [/tex]
[tex] \rm \longmapsto y = b \sin \alpha \sin \beta [/tex]
[tex] \rm \longmapsto z = c\cos \alpha[/tex]
Therefore:
[tex] \rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta [/tex]
[tex] \rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta [/tex]
[tex] \rm \longmapsto \dfrac{z}{c} = \cos \alpha[/tex]
Now:
[tex] \rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } [/tex]
[tex] \rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha [/tex]
[tex] \rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha [/tex]
[tex] \rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha [/tex]
[tex] \rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha [/tex]
[tex] \rm = 1[/tex]
Therefore:
[tex] \rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1[/tex]
George walked 6 miles in 2 hours
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
I don't know.
Answer:
b) 3 miles per hour
Step-by-step explanation:
If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.
6 ÷ 2 = 3.
what is the value of x for 10x+1=3(4x+2)-3?
Answer:
x= 7
Step-by-step explanation:
Answer:-1
Step-by-step explanation:
10x+1=3(4x+2)-3
10x+1=12x+6-3
10x+1=12x+3
1=2x+3
-2=2x
1=x
Question 1 (2 points)
What is the common difference d of the sequence?
-15, -4, 7, 18, 29, ...
• 11
•-11
•12
•-12