Answer:
x = 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Pytago:
[tex]7^2 + 7^2 = x^2\\x = \sqrt{7^2 + 7^2} \\x = 7\sqrt{2}[/tex]
Step-by-step explanation:
In a right triangle, you can find the leg of the triangle by using the Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
In this case, we have [tex]7^2+7^2=c^2[/tex], or
[tex]c^2=98[/tex]
[tex]\sqrt{98}[/tex]≅[tex]9.9[/tex]
Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]
so then line K has a slope of -5 and pass through (-1, -3)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]
Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.
Answer:
Step-by-step explanation:
So the final answer is $2274.
NO LINKS!!
Which type of comic does not have vertices or foci?
Answer:
b) Circle
Step-by-step explanation:
All of the conic sections have vertices and foci. These features are not usually talked about for a circle, so perhaps "circle" is the expected answer.
__
A circle is a special case of ellipse with eccentricity 0. Its foci are coincident at its center, and its vertices are the ends of any pair of perpendicular diameters.
Which of the following is most likely the next step in the series?
Answer:
The answer is C
Step-by-step explanation:
(I'm not completely sure)
i just really dont get it
Answer: 22.02
Step-by-step explanation:
Just add them all together.
determine the right and left hand behavior of the graph of the following functions.
[tex]f(x)=6-2x+4x^{2} -5x^{3}[/tex]
Answer:
x → -∞, y → ∞
x → ∞, y → -∞
Step-by-step explanation:
The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...
x → -∞, y → ∞
x → ∞, y → -∞
NEED HELP RELATIONSHIP IN TRIANGLES
We have: PT = NT <=> 4x - 17 = x + 10 <=> 3x = 27 <=> x = 9
=> NT = 4x - 17 = 4.9 - 17 = 19
Δ RNT have:
[tex]RT^2 = NT^2 -RN^2 =19^2 -14^2=165\\=>RT=\sqrt{165} [= 12.84523258][/tex]
Ok done. Thank to me :>
4. Write an equation of the vertical line that passes through the point (-2,-8)
I need help!! 6-10!!!!!!!!!!!!!!!!
What is the value of x?
Answer:
x = 10.
Step-by-step explanation:
(5x-1) + (8x+5) + (4x+6) = 180 (the 3 angles in a triangle sum to 180 degrees).
5x + 8x+ 4x - 1 + 5 +6 = 180
17x + 10 = 180
17x = 170
x = 10.
plot (-7,0) on a graph
Answer:
To go to (-7,0) on a graph on the x axis go to the left 7 times and plot your point
Step-by-step explanation:
[tex] \: \: \: \: [/tex]
To plot (−7,0) , start at the origin (0,0) and move left 7 units and up 0 units. To plot (7,0) , start at the origin (0,0) and move right 7 units and up 0 units.hope it helpsplease help i have a few minutes left!!
A. {a, c, g, j, k, r}
B. {C, g)
C. {a}
D. {a, c, g, j, q, k, r}
Answer:
Short
"Option A is the answer"A. The graph shows how much money Farrah has in her savings account after weeks of saving on a regular basis. How much money does Farrah have in her savings account after 10 weeks of saving?
Answer:
Step-by-step explanation:
wheres the graph
Answer:
How much money does priya have after 10 weeks? 320
How long did it take her to save 200? 5
How much did priya have in her savings account when she started to save regularly? 80
Step-by-step explanation:
Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...
Answer:
177146
Step-by-step explanation:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098
Green Valley High School recently completed an expansion. Of the new classrooms, 11 are math
classrooms, 8 are science classrooms, and 6 are history classrooms. If a single classroom is picked at
random, what is the probability that the classroom is for math or history?
Answer: 68%
Step-by-step explanation:
The best way to do this is add up the number of math and history rooms, and divide that by the total number of rooms.
There are 17 total math and history rooms, and 25 rooms total.
17/25 = .68
Multiply that by 100 to get the percent and the answer is 68%
A car is traveling at 25 miles per hour during rush hour. How far does the car travel in
2 minute and 45 seconds?
Answer: 1.14583333333 miles
Step-by-step explanation: divide 25/21.81818181818182
The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
LEarn more on speed here: https://brainly.com/question/10113134
What is the monthly payment for a 5 years 3,200 loan with a 9% APR?
Answer:
288 per month i guess 17280
Step-by-step explanation:
What is 196.7 16 in simplest form?
Ms.Thomas ordered 5 pencil packs, n notebooks, and 5 sets of makers. Write an algebraic expression that represents the cost of Ms.Thomas’s order
Determine if these functions are even, odd, or neither
Answer:
First Graph: the function is symmetrical around y axis -> Even
Second Graph: the function is neither
answer this pleaseEeeeeeee
Answer:
no solution ?
Step-by-step explanation:
Answer:
Infinitely many solutions because the system of equations are the exact same.
m^(2)n+2m^(3) if m=-0.2 and n=-9.6
Hey there!
m^(2)n + 2m^3
= -0.2^(2)(-9.6) + 2(-0.2)^3
= (-0.04)(-9.6) + 2(-0.3)^3
= 0.384 + 2(-0.008)
= 0.384 - 0.016
= 0.368
Therefore, your answer is: 0.368
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
[tex]\implies\tt{ {m}^{2n} + {2m}^{3} } \\ \\ \implies\tt{ { - 0.02}^{ 2 \times - 9.6} + 2 {( - 0.02)}^{3} } \\ \\ \implies\tt{ - 0.04 \times - 9.6 + 2( - 0.0008)} \\ \\ \implies\tt{0.384 - 0.016} \\ \\ \implies\tt{0.368}[/tex]
f(x)=√x
g(x) = √ 2 - x, find (fºg)x.
Answer:
∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)
Jessica made $156 for 12 hours of work.
At the same rate, how much would she make for hours of work?
Answer:
156/12=13
so makes 13 dollars a hour
Hope This Helps!!!
What is the value of 1/6 with an exponent of 0
Will mark as brainliest if answer is correct
Which describes the graph of y=(x-4)^2-1?
A. Opens down with a vertex at (-4,-1)
B. Opens up with a vertex at (-4,-1)
C. Opens up with a vertex at (4,-1)
D. Opens down with a vertex at (4,-1)
Answer:
B
Step-by-step explanation:
The term in the () is usually the x coordinate, and the last term (-1) is usually the y coordinate.
someoneplease help me
GIVING BRAINLIST TO FIRST RIGHT ANSWER
A. (4,-2)
B. (0,1)
C. (1,0)
D. (-1,0)
Answer:
C (1,0)
Step-by-step explanation:
Answer:
C. (1,0)
Step-by-step explanation:
When you go 3 to the left, you end up at (0, -2). When you go up 2, you get (1,0).
Please help
Find the mean
of the data.
Data: 46 22 46 49 45 39 40 42 41 39 40 36
Answer:
40.083
Step-by-step explanation:
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Given logv5 3 ≈ 0.6826 and logv5 8 ≈ 1.2920, evaluate the expressions.
A) logv5 2
B) logv5 (75/8)
Tesses ging for a maik. She waiks 125 miles in 5 hours. What is her speed?
Answer:
25 miles/hour
Step-by-step explanation:
If you were to divide 125 by 5, you would get 25 miles per each hour as your answer. Brainless if I am correct.