Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
choose 2 points to find slope
(1,1) (-3,-1)
[tex]m = \frac{ - 1 - 1}{ - 3 - 1} = \frac{1}{2} [/tex]
y-y1 = m(x-x1)
y-1 = 1/2( x-1)
y = 1/2x + 1/2
guessing
y= 1/2x + 1/2
did y2 - y1/ x2-x1
which gave
-3
-6
also it passed through the y axis at +1/2
Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20
Answer:
The length of the arc is 10 pi
Step-by-step explanation:
Mathematically, the length of an arc is calculated as;
theta/360 * 2 * pi * r
theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)
r is the circle radius which is 20 inches
so we have the length of the arc as;
90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi
Find the surface area or volume of each rectangular prism. (Show work pls)
Answer:
496 in.²
346 mm²
880 in.²
168 cm³
960 m³
420 yd³
Step-by-step explanation:
SA = 2(wl + hl + hw)
SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)
SA = 496
SA = 2(wl + hl + hw)
SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)
SA = 346
SA = 2(wl + hl + hw)
SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)
SA = 880
V = whl
V = 4 · 7 · 6
V = 168
V = whl
V = 10 · 8 · 12
V = 960
V = whl
V = 14 · 3 · 10
V = 420
Solve 3 - x/2 > 15..
Answer:
x ≥-24
Step-by-step explanation:
3 - x/2 ≥ 15
Subtract 3 from each side
3-3 - x/2 ≥ 15-3
-x/2 ≥12
Multiply by -2
-x/2 * -2 ≥12 *-2
x ≥-24
Answer:
A. x ≤ 24
Step-by-step explanation:
[tex] \small \sf \: 3 - \frac{x}{2} ≥ 15 \\ [/tex]multiply both side by 2 . Since 2 is the positive the inequality direction remains the same.
6 - x ≥ 30subtract 6 from both sides
6 - 6 - x ≥ 30 - 6 -x ≥ 24Divide both side by - 1. Since -1 is negative, the inequality direction remains the change.
x ≤ -24
[tex]factorise \: \\ \\ r {}^{2} - 10r + 21[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (r - 7)(r - 3) }}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] {r}^{2} - 10r + 21[/tex]
[tex] = {r}^{2} - 7r - 3r + 21[/tex]
Taking [tex]r[/tex] as common from first two terms and [tex]3[/tex] from last two terms, we have
[tex] = r(r - 7) - 3(r - 7)[/tex]
Taking the factor [tex](x-7)[/tex] as common,
[tex] = (r - 7)(r - 3)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Step-by-step explanation:
Your Answer with
Explanation is given in the attachment
Hope it is helpful to you
✌️✌️✌️✌️✌️✌️✌️
Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30
2. 7/16 and 42/66
3. 13/70 and 39/200
4. 16/34 and 80/170
5. 11/12 and 66/72
6. 14/17 and 112/134
7. 2/3 and 120/190
8. 23/99 and 115/495
-3x - 3y = 3, -5x + y =13
System of Equations
Answer:
([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Step-by-step explanation:
Hi there!
We are given the following system of equations:
-3x-3y=3
-5x+y=13
and we need to find the solution (the point at which the 2 lines intersect)
let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable
in the second equation, add 5x to both sides to isolate y by itself
y=5x+13
now substitute 5x+13 as y in -3x-3y=3
-3x-3(5x+13)=3
do the distributive property
-3x-15x-39=3
combine like terms
-18x-39=3
add 39 to both sides
-18x=42
divide both sides by -18
x=[tex]\frac{-7}{3}[/tex]
now we need to find y
remember: y=5x+13
substitute [tex]\frac{-7}{3}[/tex] as x in y=5x+13
y=5([tex]\frac{-7}{3}[/tex])+13
multiply
y=[tex]\frac{-35}{3}[/tex]+13
add
y=[tex]\frac{4}{3}[/tex]
So the answer is x=[tex]\frac{-7}{3}[/tex], y=[tex]\frac{4}{3}[/tex]. As a point, it's ([tex]\frac{-7}{3}[/tex], [tex]\frac{4}{3}[/tex])
Hope this helps! :)
The diameter of a quarter is approximately 2 millimeters. How many quarters would u need to make a two kilometer high pile?
Answer:
The number of quarters required to pile up to 2 km are 1000000.
Step-by-step explanation:
Diameter of each quarter = 2 mm
Total height = 2 km
Number of quarters required is given by
[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]
could someone help im really bad at polynomials
Answer:2x^2 + 7x - 30
Step-by-step explanation:
1. x(2x-3)(x+3)^2
2. x(2x-3)(x+10)
3. 2x^2+10x-3x-30
4. 2x^2+7x-30
please someone help me
Answer:
21.3 cm^2
Step-by-step explanation:
The altitude from vertex A to side BC has length
h = 8 sin 26.4°
h = 3.56
area = bh/2
area = 12 cm * 3.56 cm / 2
area = 21.3 cm^2
Answer:
21.312
Area= (a x b x sin c)/2
or you can use heron's formula (look that one up)
area = (8* 12* sin(26.4))/2 = 21.312
Step-by-step explanation:
(2.5, 1.3, 2.2, x), mean = 1.8
Answer:
please mark me a brainliest
[tex] \frac{2.5 + 1.3 + 2.2 + x}{4} = 1.8[/tex]
[tex] \frac{6 + x}{4} = 1.8[/tex]
6 + X = 1.8 * 4
6 + X = 7.2
X = 7.2 - 6
X = 1.2
So therefore the value of X is 1.2
Step-by-step explanation:
Have a good day
Have a good day And I hope this will help
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Select all that apply
Answer:
option 1
Step-by-step explanation:
I am not sure, what your are asking about.
in your text you define the length of DF (20), but the answer options (only 2 visible) also specify DF but differently.
so ... ?
when you said DF=20, did you actually mean DE ?
under that assumption
DE = 20 = Hypotenuse of the right-angled triangle (the opposite side of the 90 degree angle).
EF = 17
based on Pythagoras
c² = a² + b²
we have here now
20² = 17² + DF²
400 = 289 + DF²
DF² = 400 - 289 = 111
DF = sqrt(111)
Can someone please be generous and help me
Answer:
The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]
The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:
[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]
Using Point One, the point-slope form is determined as:
[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]
The y-intercept(b) can be calculated as:
[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]
Find the intercepts of the function f(x)=4x+8
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
2
,
0
)
y-intercept(s):
(
0
,
−
8
)
I you borrow 500 for 4 years at an annual interest rate of 6% HOW MUCH WILL YOU PAY altogether
Answer:
620
amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620
help me right now pls ?!
Answer:
B) =−7j−k−1
Step-by-step explanation:
10k+17-7j-18-11k what we have
=(−7j)+(10k+−11k)+(17+−18) combine like terms
=−7j−k−1
Answer:
-7j-k-1
Step-by-step explanation:
for this problem you have to subtract the like terms while following the order of the equation (start with the terms on the left and move terms)
Step 1:
-7j has no like terms
= -7j
Step 2:
10k and -11k are like terms
10k-11k
= -1k
Step 3:
17 and -18 are like terms
17-18
= -1
Step 4:
put all simplified terms together
=-7j-k-1
What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum
Answer:
[tex]Minimum = (5,7)[/tex]
No maximum
Step-by-step explanation:
Given
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
[tex]0.9|-(x - 5)| =0[/tex]
Divide both sides by 0.9
[tex]|-(x - 5)| =0[/tex]
Open bracket
[tex]|-x + 5| =0[/tex]
Remove absolute sign
[tex]-x + 5 =0[/tex]
Collect like terms
[tex]x = 5[/tex]
Then the y value is:
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Recall that: [tex]0.9|-(x - 5)| =0[/tex]
So, we have:
[tex]f(x) = 0 + 7[/tex]
[tex]f(x) = 7[/tex]
Hence, the minimum is at: [tex](5,7)[/tex]
Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.
Hence. the function has no maximum; i.e.
[tex]Maximum = (\infty,\infty)[/tex]
HELP I AM TIMED. Determine whether the equation is an identity or not an identity.
Answer:
It is not an identityStep-by-step explanation:
There are 10 common trig identities which I am aware of.
Some are in the image attached
The first image is known as b
Basic Identities
The second are known as Trigonometric / Pythagorean Identities .
The third : Co-function identities
and many more.
I'm only allowed to post five images so that's all I have.
someone help me please with this algebra problem
Answer:
D.
Step-by-step explanation:
She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.
Answer: D.
Find the value of "x" of given parallelogram
Answer:
The answer is 1.5
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 7 = 5x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 5x = - 4 + 7 \\ \: 2x = 3\\x = \frac{3}{2} \\ x = 1.5[/tex]
i hope so..
The length of a line is x centimetres.
Write down an expression, in terms of x, for the length of the line in millimetres.
Answer:
10x
Step-by-step explanation:
Since there are 10 mm in one cm, the expression would be 10x.
Hope this helps!
Answer:
10
Step-by-step explanation:
As we know that 1cm=10mm
so the expression would be 10x.
Evaluate the function. Please help! ASAPPP!!!!
Answer:
B
Step-by-step explanation:
p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25
p(5)=1/4(5)+2.5
=5/4+2.5
=1.25+2.5
=3.75
Guys please help me if you don’t mind
Step-by-step explanation:
Step 1: The factors of -60 that add up to -11 are -15 and 4.
Step 2:
[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]
Step 3:
[tex]3x(2x - 5) + 2(2x - 5)[/tex]
[tex](3x + 2)(2x - 5) [/tex]
Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?
Answer:
36 years
Step-by-step explanation:
Let
x = Elga's age
Alvin's age = x + 7
Sum of their ages = 79
Sum of their ages = Alvin's age + Elga's age
79 = (x + 7) + x
79 = x + 7 + x
79 = 2x + 7
79 - 7 = 2x
72 = 2x
x = 72/2
x = 36
Elga's age = x = 36 years
Alvin's age = x + 7
= 36 + 7
= 43 years
Solve the equation and enter the value of x below. 7(x + 8) = 84
Hello!
7(x + 8) = 84 <=>
<=> 7x + 56 = 84 <=>
<=> 7x = 84 - 56 <=>
<=> 7x = 28 <=>
<=> x = 28 : 7 <=>
<=> x = 4
Good luck! :)
If the battery costs $75 and has a life of 300 charge-discharge cycles, what is the cost of the energy in dollars per kilowatt hour
Answer:
I'm sorry but no idea
Step-by-step explanation:
No idea
Find the roots of the equation x^2 + 16 = 0.
Answer:
+4 and -4
Step-by-step explanation:
x² + 16=0
x=-√16
x=-4 or +4
someone help please!!!!!!!
Answer:
I dont know the answer for this question
What is 7/9 divided by 1/3
Answer:
[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]
CUALES SON LOS GRADOS PARA HACER UNA GRAFICA DE PASTEL, CON LOS SIGUIENTES PORCENTAJES( 20%,50%,10%)
Answer:
Lo primero que debemos saber, es que la gráfica de pastel nos permite dividir a una población, la cual sería el 100%, en porcentajes menores que representan algo.
En este caso tenemos los porcentajes 20%, 50%, 10% (notar que no suman 100%, entonces nos falta algún porcentaje)
Bueno, como sabemos el gráfico (el cual es un círculo) representa el 100%.
Y en un círculo, tenemos un ángulo de 360°
Entonces comenzamos con la equivalencia:
360° = 100%
Entonces, ¿a que grado corresponde el 50%? Planteamos la ecuación:
x = 50%
Si tomamos el cociente entre las ecuaciones:
x = 50% y 360° = 100%
obtenemos:
x/360° = 50%/100%
resolviendo para x, obtenemos:
x = (50%/100%)*360° = 0.5*360° = 180°
Para los otros porcentajes hacemos lo mismo.
Para el de 20% tenemos:
y = 20%
planteamos la ecuación:
y/360° = 20%/100%
y = 0.2*360° = 72°
Finalmente, para el de 10% tendremos:
z = 10%
planteando la ecuación como antes:
z/360° = 10%/100%
z = 0.1*360 = 36°
Asi, hemos encontrado los grados correspondientes para cada porcentaje.
Which action taken by a central bank would reflect expansionary monetary policy?
A. Lowering the discount rate to provide more loans to banks
B. Raising the interest that it pays to banks on the balance of their reserves
C. Raising reserve requirements for all banks
D. Selling treasury securities to banks to reduce the money supply
Answer:
b
Step-by-step explanation:
well when raising the intrest on other banks it will cause a effect the money supply. the expansionaty monetary policy revolves around intrest rates. B is the only answer that best explains what im trying to say
The action of lowering the reserve requirements for all banks and sales of treasury securities to banks to help reduce money supply reflect the expansionary monetary policy.
What is expansionary monetary policy?An expansionary monetary policy is an economy policy used to stimulate a declining economy and gross domestic policy.
The 3 expansionary monetary policy includes
lowering of interest rates
lowering of banks reserve requirements
buying of government securities.
Therefore, the action of lowering the reserve requirements for all banks and sales of treasury securities to banks to reduce the money supply reflect the expansionary monetary policy.
Hence, the Option C and D is correct
Read more about expansionary monetary policy;
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