Answer:
(12, 48 )
Step-by-step explanation:
Given the 2 equations
y = 5x - 12 → (1)
y = 3x + 12 → (2)
Substitute y = 5x - 12 into (2)
5x - 12 = 3x + 12 ( subtract 3x from both sides )
2x - 12 = 12 ( add 12 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Substitute x = 12 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 3(12) + 12 = 36 + 12 = 48
solution is (12, 48 )
-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! :)
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:
someone help please!!!!!!!
Answer:
I dont know the answer for this question
y = 2 3 x − 5 y = −2x + 3 On a coordinate plane, 2 lines intersect at (negative 3, negative 3). She determined that the solution is (–3, –3). Is she correct? If not, explain why.
Given:
The two equations are:
[tex]y=\dfrac{2}{3}x-5[/tex]
[tex]y=-2x+3[/tex]
To find:
Whether (-3,-3) is a solution of the given equation or not.
Solution:
Table of values for [tex]y=\dfrac{2}{3}x-5[/tex],
x y
0 -5
7.5 0
Plot the points (0,-5) and (7.5,0) on a coordinate plane and connect them by a straight line.
Table of values for [tex]y=-2x+3[/tex],
x y
0 3
1.5 0
Plot the points (0,3) and (1.5,0) on a coordinate plane and connect them by a straight line.
From the below graph, it is clear that the graphs of both lines intersect each other at (3,-3). So, the solution of given equations is (3,-3) instead of (-3,-3).
Therefore, she is incorrect because the correct solution is (3,-3).
modrater give answer
if 27x = 45263514282 than find the value of 200x
═══════ღ❦ღ══╮
[tex]\boxed{ \sf{Answer}} [/tex]
↦ First find the value of x
[tex]27x = 45263514282 \\ x = \frac{45263514282}{27} \\ x = 1676426454.89[/tex]
↦ Now, find the value of 200x
[tex]x = 1676426454.89 \\ 200x = 200 \times 1676426454.89 \\ 200x = 335285290978[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Given that,
→ 27x = 45263514282
Then we have,
To find the required value of 200x.
Before that,
find the required value of x.
→ 27x = 45263514282
→ x = 45263514282/27
→ [x = 1676426454.89]
Now we can,
Solve for the value of 200x.
→ 200x
→ 200 × (x)
→ 200 × (1676426454.89)
→ 335285290978
Hence, 200x is 335285290978.
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)
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.
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
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
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
Review your answers to Question 4. What happens to the coordinates of a shape when the shape reflects about the line y = x? Explain.
Answer:
The x and y coordinates swap position
Step-by-step explanation:
Given
Reflection across: [tex]y = x[/tex]
Required
What happens to the coordinate
When a point is reflected about [tex]y = x[/tex], the x and y coordinates swap position
i.e.
[tex](x,y) \to (y,x)[/tex]
Answer:
When the shape reflects about the line y = x, the x-coordinate and the y-coordinate of each point are swapped.
Step-by-step explanation:
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
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
)
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..
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
Graph each equation by using the y-intercept and slope
y=-x-4
Y-int=______
Slope=_____
whats the y-intercept and slope for this equation?
Answers:
y intercept = -4
slope = -1
==========================================
Explanation:
The given equation is the same as y = -1x + (-4)
Compare this to y = mx+b form, and we see that
m = -1 is the slope
b = -4 is the y intercept
To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.
Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 = -1/1.
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 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
You buy a 1:10000 scale model of the One World Trade Center during a trip to New York City. The height of the model is 5.41 centimeters. Find the actual height x (in meters) of the One World Trade Center.
Answer:
541m
Step-by-step explanation:
The scale given 1 represents the height of the model and 10000 represents the actual height,place the 5.41 in line with the one and an unknown letter in line with the 10000 inorder to calculate the actual height
1:10000
5.41:x
cross multiply and solve for x,which will be 54100cm
but since the answer has to be in meters convert the 54100cm to a meter by dividing it by 100..
I nI need help on 110 times 550
Answer:
60500
Step-by-step explanation:
110 x 550
= 60500
Answer:
60500
Step-by-step explanation:
caculator lol 110×550
Look at pic for question and answer choices.
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! :)
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.
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
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
why is the sum of two negative numbers not a positive number
please dont make the whole answer a example:)
Answer:
because when two negatives are together they can't add
Step-by-step explanation:
because when two negatives are together they can't add no matter if there's an addition sign
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?????
Answer:
A. y = | x - 6 | - 3
Step-by-step explanation:
Hope this is helpful
Answer:
D
Step-by-step explanation:
when you look at the graph you can notice a kind of a curve at that point x is -6 and Y is -3 so what u have to do is replace -6 in position of x in the 4 answers and the one who's Y = -3 is your answer
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(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