Answer for first question: x-intercept(s): (92,0)(92,0) y-intercept(s): (0,−95) for second question : x-intercept(s): (23,0)(23,0) y-intercept(s): (0,−12)
Step-by-step explanation:
Is (-4, -1) a solution to this system of equations?
y = 5/2x + 9
y = 1/2x + 1
Yes or no
Answer:
yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)
Step-by-step explanation:
The radius of a circle is 2 feet. What is the
circle's circumference?
r=2 ft
Given -
the radius of a circle is 2 feet. ie. r = 2ftps - use 3.14 for π
To find -
the circle's circumferenceSolution -
We know to find the circumference of a circle we use the formula C=2πr.
Doing the same,
C = 2 × 3.14 × 2
C = 12.56 feet
[tex]\sf\large\underline{Given:-}[/tex]
[tex]\rightarrow[/tex] Radius(r) of the circle = 2 ft.
[tex]\rightarrow[/tex] Value of Pie(π) = 3.14
[tex]\sf\large\underline{To\: Find:-}[/tex]
[tex]\rightarrow[/tex] Circumference of the circle.
[tex]\sf\large\underline{Formula \: Used:-}[/tex]
[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex]
[tex]\sf\large\underline{Solution:-}[/tex]
[tex]\rightarrow[/tex] Circumference of circle = [tex]\sf{2πr}[/tex](putting the value of π and r from the above given)
[tex]\rightarrow[/tex] [tex]\sf{=2×3.14×2}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=12.56\: ft.}[/tex]
Therefore, circumference of the given circle = [tex]\sf{12.56\: ft.}[/tex]
_____________________________
Hope it helps you:)
Find the 72nd term of the arithmetic sequence -27, -11, 5, ...
Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
Let m and n be two positive integers greater than 1 . If
[tex] \displaystyle\sf \lim_{a\to 0 }\bigg\lgroup \dfrac{e^{\cos(a^n)}-e}{a^m}\bigg\rgroup =-\bigg\lgroup \dfrac{e}{2}\bigg\rgroup [/tex]
Then the value of [tex]\dfrac{m}{n}[/tex] is ?
Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50 What is the percentage change in her hourly rate?
Percentage Change = (new rate - old rate) / (old rate)
New Rate = 11.5
Old Rate = 10
(11.5 - 10) / 10
1.5 / 10 = 15 / 100 = 0.15 = 15%
The percentage change in her hourly rate is 15%.
Hope this helps!
In the spinner above, the section labeled *2* is twice as large as each of the sections labeled “3,” “4,”and “5”; the section labeled "1” Is three times as large as each of the sections labeled "3” “4” and “5”About how many times should Larry expect to land on "1"
A. 100
B. 75
C. 40
D. 25
Thank you!
Answer:
B.75
Step-by-step explanation:
14. in the figure at the right, ∠2 and ∠5 are_____ A. complementary angles B. linear pair C. supplementary angles D. vertical angles
Answer this please
Reason:
When two lines cross to form an X shape, the opposite pairs of angles are known as vertical angles. They are always congruent to one another.
They do not have to be vertically aligned (meaning the angles could be sitting side by side). Example: In problem 15, angle 1 and angle 3 are vertical angles that are congruent.
Omega House Family restaurant is midway between Forsyth Tech Community College
and the Dash baseball stadium. The coordinates of Forsyth Tech are (7, −5) and the
coordinates of the Dash baseball stadium are (−4, 3). What are the coordinates of the
Omega House?
The coordinates of Omega house is (3/2, 1)
Data;
Forsyth Tech = (7,-5)Stadium = (-4, 3)Midpoint of a LineTo find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium
[tex]x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})[/tex]
We can substitute the values and solve for both x and y coordinates.
[tex]x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}[/tex]
The value of the y-coordinate is
[tex]y = \frac{-5+ 3}{2} = 1[/tex]
The coordinates of Omega house is (3/2, 1)
Learn more on midpoint of a line here;
https://brainly.com/question/5901621
Which answers describe the shape below? Check all that apply.
Answer: C, D, and F
-> C. Quadrilateral
-> D. Parallelogram
-> F. Rectangle
Step-by-step explanation:
-> A. Square
[✗] A square needs 4 congruent sides, this only has "two sets of two"
-> B. Trapezoid
[✗] A trapezoid has one pair of parallel sides, but this shape has two
-> C. Quadrilateral
[✓] This shape has four sides
-> D. Parallelogram
[✓] This shape's opposite sides are congruent and parallel
-> E. Rhombus
[✗] This shape's opposite angles/sides are equal, but not all of it's sides are congruent
-> F. Rectangle
[✓] This shape has four sides, and it's opposite sides are congruent
hello evryone. please help if you know the answer. donr help if u dont know the answer. ill give brailest to the first person that answers
a WHOLE is always simplified to "1", namely 100/100 = 1, 57/57 = 1 and so on. Well, in this case we have a total of 21 students, so 21/21 is all of them, their "whole", but we also know that 6 of them read about animals and the rest about plants, so
[tex]\stackrel{whole}{\cfrac{21}{21}}\qquad \qquad \cfrac{\stackrel{animals}{6}~~ + ~~\stackrel{plants}{15}}{21}\implies \cfrac{6}{21}~~ + ~~\stackrel{plants}{\cfrac{15}{21}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{15}{21}\implies \cfrac{3\cdot 5}{3\cdot 7}\implies \cfrac{3}{3}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \boxed{\cfrac{5}{7}}[/tex]
Answer:
I think its 5 over 7
Step-by-step explanation:
because 6-21 equals 15 so 15 is how many read about plants out of the total students at the library which is 21.if you divide 15 over 21 by 3 you get 5 over 7
Solve for e:2e-13+8=135
Answer:
e = 70
Step-by-step explanation:
2e - 13 + 8 = 135
2e - 5 = 135
2e = 135 + 5
2e = 140
divide both sides by 2
e = 70
Please help correct answer wins crowns
Answer:
Given equation: x + 2y = 7
Rearrange the given equation to make y the subject:
[tex]\sf x + 2y = 7[/tex]
[tex]\sf \implies 2y=7-x[/tex]
[tex]\sf \implies y = \dfrac12(7-x)[/tex]
Now input the given x-values into the equation to determine the y-values:
[tex]\sf x=-2\implies y = \dfrac12(7-(-2))=4.5[/tex]
[tex]\sf x=-1\implies y = \dfrac12(7-(-1))=4[/tex]
[tex]\sf x=0\implies y = \dfrac12(7-0)=3.5[/tex]
[tex]\sf x=1\implies y = \dfrac12(7-1)=3[/tex]
[tex]\sf x=2\implies y = \dfrac12(7-2)=2.5[/tex]
[tex]\sf x=3\implies y = \dfrac12(7-3)=2[/tex]
As ordered pairs: (-2, 4.5) (-1, 4) (0, 3.5) (1, 3) (2, 2.5) (3, 2)
Plot the endpoints on the graph (-2, 4.5) and (3,2), then connect with a line segment.
Question: The lengths of the diagonals of a rhombus are 5 inches and 8 inches. What are the interior angle measures of the rhombus?
How you must answer:
- Sketch - draw the sketch:
- Known:
-Unknown:
-Rationale:
-Exquation and expression:
Steps:
- Include a sketch
-State the Known
-State the Unkown and represent with a variable
-Provide a rationale
-Include the equation, exact answer, and decimal approximation
Answer:
The interior angles are approximately 64.02 degrees and approximately 115.98 degrees
The drawing is below.
==========================================================
Explanation:
A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.
Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5
----------------------
Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine the value of x.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]
Angle x is roughly 32.01 degrees.
Make sure your calculator is in degree mode.
---------------------
Similar steps can be done to find the value of y.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]
Or you could use the value of x to compute y like this
x+y = 90
y = 90 - x
y = 90 - 32.005383
y = 57.994617
y = 57.99
---------------------
Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.
The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees
Notice how 2x+2y = 64.02+115.98 = 180
For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).
Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100
The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.
What is percentage increase?Percentage increase is the amount added to the initial value of a product in the percentage part.
The percentage increase over a year can be found out using the compound interest formula,
[tex]A=P(1+\dfrac{r}{100})^n[/tex]
Here, (A) is the final amount (P) is the principal amount, (r) is the rate and n is the time period.
Aria paid $75,000 for her house. its property value increased by 2.2% per year. The time period is 11 years. Put these values in the above formula as,
[tex]A=75000(1+\dfrac{2.2}{100})^{11}\\A=95284.3[/tex]
To the nearest, a hundred dollars,
[tex]A=95300[/tex]
The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.
Learn more about the percentage increase here;
https://brainly.com/question/22444616
Answer: incase you're still confused, the answer is $95,300. Hope this helps <3
What is X equal to in this?
x / 33 = 40 / 24
x = 40 / 24 * 33 = 55
What is the median: _____
enter the whole number and only 1 decimal value in this answer
Answer:
55.5
Step-by-step explanation:
First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111 111 divided by 2=55.5.
The variables y and x have a proportional relationship, and y = 5 when x = 4.
What is the value of x when y = 8?
Answer:
[tex]\boxed{a = 6.4}[/tex]
Step-by-step explanation:
Given:
[tex]x:y = (4):(5)[/tex]
Let the value of "x" be known as "a".
[tex]x:y = a:8[/tex]
Setting up the proportion:
[tex]\rightarrow 4:5 = a :8[/tex]
Multiplying the middles and the extremes:
[tex]\rightarrow 5a = 4 \times 8[/tex]
Simplifying the RHS:
[tex]\rightarrow a = \dfrac{4 \times 8}{5}[/tex]
[tex]\rightarrow \boxed{a = 6.4}[/tex]
Thus, the value of x is 6.4 when y is 8.
Answer:
[tex]\sf x=\dfrac{32}{5}[/tex]
(or x = 6.4 if you want it in decimal form)
Step-by-step explanation:
If y and x have a proportional relationship, then:
y = kx (for some constant k)Given:
x = 4y = 5Substitute the given values into the equation to find k:
⇒ 5 = k(4)
⇒ k = 5/4
Therefore, [tex]\sf y=\dfrac54x[/tex]
When y = 8, substitute y = 8 into the equation and solve for x:
[tex]\sf \implies \dfrac54x=8[/tex]
[tex]\sf \implies x=8 \cdot \dfrac45[/tex]
[tex]\sf \implies x=\dfrac{32}{5}[/tex]
What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81
Step-by-step explanation:
We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.
Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.
What is the solution to the equation?
Choose the student who solved the equation correctly.
12a = 6
Maria's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = 2.
Jessi's work. 12 a = 6. StartFraction 12 a Over 12 EndFraction = StartFraction 6 Over 12 EndFraction. A = one-half.
Marcus's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 1.
Trevor's work. 12 a = 6. StartFraction 12 a Over 6 EndFraction = StartFraction 6 Over 6 EndFraction. A = 2.
9.1k = 63.7
The solution is
.
Answer:
Jessi work is correct. Everyone did the work correctly as far as the method but only Jessi’s work was correct because 6/12 = 1/2
Step-by-step explanation:
so it's B or jessi work
What is the solution to the linear equation? –12 3b – 1 = –5 – b b = –2 b = –1.5 b = 1.5 b = 2
The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The linear equation is given below.
–12 + 3b – 1 = –5 – b
The value of b will be given as
Add b both sides, we have
–12 + b + 3b – 1 = –5 – b + b
–13 + 4b = –5
Add 13 on both sides, we have
13 – 13 + 4b = – 5 + 13
4b = 8
Divide both sides by 4, we have
b = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
Answer:
The fourth option, 2
The length of the base of a parallelogram is 18 centimeters. the parallelogram has an area of 450 square centimeters.
what is the height of the parallelogram?
enter your answer in the box
Answer:
h = 25 cm
Step-by-step explanation:
the area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
given A = 450 and b = 18 , then
18h = 450 ( divide both sides by 18 )
h = 25
Answer:
h = 25cm
Step-by-step explanation:
round 4184 to the nearest hundereth
Answer:
4200
Step-by-step explanation:
I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.
The length of the hypotenuse in a 45°-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the other
leg?
O 7sqrt5units
O 14sqrt5units
O 35 units
0 70 units
Answer:
7[tex]\sqrt{5}[/tex]
Step-by-step explanation:
the legs of a 45°- 45°- 90° triangle are congruent , then
one leg = 7[tex]\sqrt{5}[/tex]
the other leg = 7[tex]\sqrt{5}[/tex]
can someone help me with this please
Answer:
40 ft^2
Step-by-step explanation:
Composite shapes make a square and rectangle
4 x 4 = 16
6 x 4 = 24
24 + 16 = 40
Answer:
24 unless my mind died
Step-by-step explanation:
8+16 :D
Find the gradients of lines A and B.
Answer:
A=4
B=-2
Step-by-step explanation:
the gradient to B is a negative coz the line is sloping downwards
Answer:
m (A) = 4
m (B) = - 2
Step-by-step explanation:
choose any 2 coordinates on line A to use it in the formulae
no need to do so for line B because the y-int and x-int both are clear.
Find the area of the figure.
Answer:
55 sq meters
Step-by-step explanation:
Area of big triangle 7x5=35/2
but there's two big triangle so 35/2 x 2 =35
area of small triangle 5x4=20/2 10
10 x 2 =20. And then combine 20+35=55
So the area is 55 sq meters.
Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,850, an interest rate of 6.5% compounded monthly, and a duration of ten years. if claudius started paying off the loan when he graduated, what is his monthly payment? round all dollar values to the nearest cent. a. $71.37 b. $81.25 c. $55.07 d. $76.55
Answer:
b.
$81.25
Step-by-step explanation:
taking it rn
Answer:
b 81.25
seen it on quizlet
Step-by-step explanation:
PLEASE HELP ASAP 20 POINTS
Answer:
1. 200
2. 50
Step-by-step explanation:
1. you put 10 over 5 as a proportion with x over 100 on the other side
2. you put 5 over 10 as a proportion with x over 100 on the other side
Pls help i am extremly stressed with this question
Answer:-7/8>-0.60
C is not true
What is the velocity of the plane that travels 3000km in 5 hours?
Answer:
600km/h
546.807 fps
0.1666667 km/s
Step-by-step explanation:
Use which ever unit youd want to in this scenereo, I'd use 600km/h
3000 / 5 = 600