Answer:
x = 21 and both sides are 53 units long
Step-by-step explanation:
They are congruent, so they are equal, so
3x-10=x+32 then solve for x
2x=42
x=21
then plug x into each side to get its length
3x-10=3(21)-10=53
x+32=21+32=53
You would expect them to be the same since they are congruent
A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.
Step-by-step explanation:
So we are given 2 coordinates.
so in a linear equation, we have the given function:
y=mx+b
thus we should have an x value and a y value.
So let's set x to be the hours and y be the cost
With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2
so with that being said,
7.75-5.5/7-4=m
2.25/3=m
.75=m
This is our slope.
Our formula will look like this: y=0.75x
Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked
y=0.75(3)
y=2.25
The cost to park for 3 hours will be $2.25
Hope This Helps :D
If y=-2 then 2y-1 equals
Answer:
-5
Step-by-step explanation:
Plug the first equation into the expression
2y-1 = 2(-2) - 1 = -4 - 1 = -5
Answer:
-5
Step-by-step explanation:
2y - 1
2(-2) - 1
-4 - 5
-5
ANOTHER ONE LOL You exercise for ¾ of an hour. You jump rope ⅓ of that time. What portion of the hour do you spend jumping rope?
Answer: 15 minutes
Step-by-step explanation:
60 / 4 = 15
15 * 3 = 45
45 / 3 = 15
Answer:
Step-by-step explanation:
Time spent on jump rope = 1/3 of 3/4
[tex]= \dfrac{1}{3}*\dfrac{3}{4}=\dfrac{1}{4} \ hour[/tex] or 15 minutes
Zoom in so you can see it
I will give you 50 point and brain list
Answer:
so this is what it should be let me know if this Is wrong
[tex]\sqrt{x}(-5-(-8))x^{2} +(-5-(-7))x^{2}[/tex]
[tex]\sqrt{x} (-5-(-8))x^{2} +(-5-(-7))x^{2} = 3.x^{2} \sqrt{x} +2x^{2} = x^{2} (3\sqrt{x} +1)[/tex]
ok done. Thank to me :>
Write an ordered pair for the point in
Quadrant IV that is 4 units away from
point S(-1.5, -2.5) on the coordinate
plane.
If a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)
If we have a coordinate point (x, y) in quadrant 4, if the coordinate is 4 units away, the resulting coordinate will be expressed as (x+4, y - 4)
Given the point S(-1.5, -2.5) on the coordinate the plane, if a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)
Learn more here: https://brainly.com/question/2565050
Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch both circles?
3
1
2
there are only 3 tangent lines can be drawn that touch both circles
ok done. Thank to me :>
I’m so confused on how to do this -?
Answer:
256
Step-by-step explanation:
any number to the 0 power equals 1, so r^0 equals 1
then, you have (4(1))^4
4×1=4
4^4=256
Answer:
3328
Step-by-step explanation:
13(4r^0)^4=13*44= 13*(4
*
4
*
4
*
4
)
=
3328
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3
The height of a triangle is 8 times it’s base. The area of the triangle is 784 square centimeters. Find the base and height of the triangle
Answer:
b = 14 cm , h = 112 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Given height is 8 times base , then h = 8b and A = 784 , then
[tex]\frac{1}{2}[/tex] × b × 8b = 784
b × 4b = 784
4b² = 784 ( divide both sides by 4 )
b² = 196 ( take square root of both sides )
b = [tex]\sqrt{196}[/tex] = 14
Then base b = 14 cm and height h = 8 × 14 = 112 cm
Find the equation of the line L.
Answer:
y = ([tex]-\frac{1}{2}[/tex])x + 4
Step-by-step explanation:
(x1,y1) = (0,4) ; (x2,y2) = (8,0)
The equation will look like y=mx+b
Slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]
Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.
y=mx+b
0 = ([tex]-\frac{1}{2}[/tex])8 + b
0 = -4 +b
0+4 = -4 +4 +b
b=4
Then substitute b and m to the equation y=mx+b
y = mx + b
y = ([tex]-\frac{1}{2}[/tex])x + 4
factorise first then solve these equations
1.
x^2+5x+4=0
2.
a^2+7a+12=0
A pie was cut into 8 equal pieces. If Malena ate 18 of the pie, and Lupe ate 58 of the pie, how many whole pieces of the pie are left?
Answer:
2/8ths are left
Step-by-step explanation:
8 equal.pieces means 8/8
she ate 1/8 and he ate 5/8
thats 6/8
8/8 - 6/8 = 2/8
Answer:
1
Step-by-step explanation:
i dunno maybe not sure
PLEASE HELP IT’S DUE TMR!!
4856
1.07
12.9
7.00
0.00199 (199)
0.000660 (660)
:)
Find three rational numbers lying between -2/5 and -1/5
Answer:
0, 1/4, -1/4
Step-by-step explanation:
Can you figure out if the slopes are parallel, perpendicular or neither and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
1. C, 2. A, 3. C, 4. B
Step-by-step explanation:
Parallel: slopes are equal. In problem 2, the slopes appear to be 2 ("rise over run") One line passes through points (2, 1) and (3, 3) -- y increases by 2 if x increases by 1. The other line passes through points (0, 3) and (1, 5) -- y increases by 2 if x increases by 1. The lines have the same slope.
Perpendicular: slopes are opposite reciprocals (they have opposite signs). In problem 4, that happens: 2/3 and -3/2. That is not the relationship between slopes in problem 3. 1/3 and 3 are not opposite reciprocals.
Corrected! #4 is B (perpendicular)
how do i solve -3x--3+8x-24=6x+7-5x
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-3x--3+8x-24=6x+7-5x[/tex]
Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:
[tex]-3x+3+8x-24=6x+7-5x[/tex]
Add up similar terms:
[tex]5x-21=x+7[/tex]
Add 21 to both sides:
[tex]5x-21+21=x+7+21[/tex]
[tex]5x=x+28[/tex]
Subtract x from both sides:
[tex]5x-x=x+28-x[/tex]
[tex]4x=28[/tex]
Divide both sides by 4:
[tex]\frac{4x}{x} =\frac{28}{4}[/tex]
[tex]x=7[/tex]
La temperatura de un congelador bajó de 3 °C a −9 °C en 3 horas. Si la temperatura del congelador bajó en la misma cantidad de grados cada hora, ¿qué temperatura tenía el congelador al completarse la primera hora?
En este problema observamos que la temperatura del congelador desciende linealmente con el paso del tiempo, es decir, conforme al siguiente modelo:
[tex]T(t) = T_{o} + \frac{\Delta T}{\Delta t}\cdot t[/tex] (1)
Donde:
[tex]T_{o}[/tex] - Temperatura inicial, en grados Celsius.[tex]\Delta T[/tex] - Cambio total de la temperatura, en grados Celsius.[tex]\Delta t[/tex] - Cambio total en el tiempo, en horas.[tex]t[/tex] - Tiempo, en horas.Si sabemos que [tex]T_{o} = 3\,^{\circ}C[/tex], [tex]\Delta T = -12\,^{\circ}C[/tex]. [tex]\Delta t = 3\,h[/tex] y [tex]t = 1\,h[/tex], entonces la temperatura del congelador al completarse la primera hora es:
[tex]T(1\,h) = 3\,^{\circ}C + \left(\frac{-12\,^{\circ}C}{3\,h} \right)\cdot (1\,h)[/tex]
[tex]T(1\,h) = -1\,^{\circ}C[/tex]
El congelador tenía una temperatura de -1 °C a la primera hora.
Invitamos cordialmente a ver esta pregunta sobre temperaturas: https://brainly.com/question/21677542
Multiply as indicated. Write the product in standard form.
(2+i)^2
Answer:
3 + 4i
Step-by-step explanation:
Aaliyah has a points card for a movie theater,
• She receives 30 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 125 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Aaliyah can make to earn her first free movie ticket.
Answer:
30 +12.5v ≥ 125v ≥ 7.6Step-by-step explanation:
Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...
(reward points) + (visit points)×(number of visits)
30 +12.5v ≥ 125 . . . . . the inequality
__
12.5v ≥ 95 . . . . . . . subtract 30
v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality
Aaliyah will need to make 8 visits to earn her first free ticket.
What is the slope of the equation
Answer:
Undefined
Step-by-step explanation:
x=-4 is a vertical line (On a graph) so it would be undefined
103.8 is what percent of 64? Round to the nearest thousandth
Answer: 162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div
Step-by-step explanation:
Jill has a pail of water that holds 612 quarts. She needs to give her plants 18 quart each. How many of her plants can she water?
Enter the correct answer in the box.
Answer:
34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Because 612 quarts divided by 18 quarts for each plant is 34. So, it's 34 plants.
Use an equation to find the value of k so that the line passing through (−2,k) and (2,0) has a slope of −1.
Answer:
k = 4
Step-by-step explanation:
Calculate the slope m using the slope formula, then equate to - 1
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, k ) and (x₂, y₂ ) = (2, 0 )
m = [tex]\frac{0-k}{2-(-2)}[/tex] = [tex]\frac{-k}{2+2}[/tex] = [tex]\frac{-k}{4}[/tex] , then
[tex]\frac{-k}{4}[/tex] = - 1 ( multiply both sides by 4 )
- k = - 4 ( multiply both sides by - 1 )
k = 4
Which are perfect square trinomials? Select two options.
x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36
Step-by-step explanation:
An expression obtained from the square of a binomial equation is a perfect square trinomial. An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)
Answer:
x2 − 4x + 4
x2 + 10x + 25
Step-by-step explanation:
[plz help 20 points
i really need help.
Answer:
its A
Step-by-step explanation:
I need help solving this
Answer:
Step-by-step explanation:
(-16x+13)+(-20x+23)=180. I know that the sum of those two angles would equal 180, since they are supp.
x=-4
Then I would sub in -4 where I see a x
-16(-4)+13=77
-20(-4)+23=103
angle LMP = 77
angle NMP = 103
together = 180 so it's correct
please help me i will give brainliest if you get the answer correct!!
the answer is the third option f(2)<g(2)
if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175
7.
Adam purchased 52 litres of gas for $58.71. How much was one litre of gas? (Round to
three decimals)
Answer:
$1.129
Step-by-step explanation:
how do you solve this linear programming inequality equation?
1 > 3P + 10
Answer:
-3 > P
Step-by-step explanation:
1 > 3P + 10
Subtract 10 from each side
1-10 > 3P + 10-10
-9 > 3P
Divide each side by 3
-9/3 > 3P/3
-3 > P