1 What is the solution to the system of equations? (2 Points) x + y = 8 and - x + 3y = 4 O a. (-2, 10) O b. (10,-2) c. (3,5) O d. (53)
Answer:
(5 , 3)
Step-by-step explanation:
x + y = 8 ----------------(I)
-x + 3y = 4 ----------(II)
Add equation (I) and (II) and so x will be eliminated and we can find the value of y
(I) x + y = 8
(II) -x + 3y = 4
4y = 12 {Divide both sides by 4}
y = 12/4
y = 3
Plugin y = 3 inn equation (I)
x + 3 = 8 {Subtract 3 from both sides}
x = 8 -3
x = 5
Erica is using the storage container below. What is the volume if the storage container?
Answer:
7
Step-by-step explanation:
1x2=2x3/1/2= 7
Answer:
7
Step-by-step explanation:
I did the question
Hallar el valor del cateto a
a.
6.56
b.
2.48
c.
3.75
d.
5.07
Answer:
a = 5.07
Step-by-step explanation:
Here, we want to get the value of the side marked a
What we have is a right triangle
so, to find the value of a, we are to use the correct trigonometric ratio
The angle given faces a, which makes a the opposite
the side measure faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the two is the sine
The sine is the ratio of the opposite to the hypotenuse
mathematically;
sine 25 = a/12
a = 12 * sine 25
a = 5.07
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given:
In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G is 110 degrees.
To find:
The measure of angle FEG.
Solution:
Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.
Using extrior angle theorem in triangle EFG, we get
[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]
[tex]5x+6x=110^\circ[/tex]
[tex]11x=110^\circ[/tex]
[tex]x=\dfrac{110^\circ}{11}[/tex]
[tex]x=10^\circ[/tex]
Now,
[tex]m\angle FEG=5x[/tex]
[tex]m\angle EFG=5(10^\circ)[/tex]
[tex]m\angle EFG=50^\circ[/tex]
Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.
Triangle PRT - status, TS - its higher. Based on the data in the drawing, calculate the length of the altitude drawn from the vertex R to the extreme PT.
Answer:
16 cm
Step-by-step explanation:
We're to find the length of RT.
Apply the leg rule which is given as,
Hypotenuse/leg = leg/part
Hypotenuse = PR = 7.2 + 12.8 = 20 cm
Leg = RT
Part = 12.8 cm
Plug in the values
20/RT = RT/12.8
Cross multiply
RT*RT = 20*12.8
RT² = 256
RT = √256
RT = 16 cm
PLEASE HELP I WILL GIVE BRAINLIEST due today please helpp
Answer:
Step-by-step explanation:
(4-5x)+43=3-32(-82)
please answer!!
Answer:
x = -516
Step-by-step explanation:
(4 - 5x) + 43 = 3 - 32(-82) {Multiply 32 and (-82)}
4 - 5x + 43 = 3 - (-2624)
4 - 5x + 43 = 3 + 2624 {add 4 and 43 in LHS}
-5x + 47 = 2627 {Subtract 47 from both sides}
-5x = 2627 - 47
-5x = 2580 {Divide both sides by (-5)}
x = 2580/(-5)
x = -516
Select all the statements that describe the expression 5 + 2x. *
The expression represents 5 plus 2 plus x.
The expression represents 5 plus 2 times x
The expression represents 5 plus x plus x.
The expression represents 5 plus x times x.
The expression represents the sum of 5 and 2x
The expression represents the product of 5 and 2x.
Marcus has a summer job where he makes $45 a day. Yesterday, his boss told him that he was getting a raise to $63 a day because he was such a hard worker. What is the percent increase in Marcus’ salary?
Answer: 40%
Step-by-step explanation:
help asap plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
75 divided by 15 = 5 undershirts.
Please help!
(its the picture)
Answer:The answer is A
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
√
2
⋅
5
x=\frac{-({\color{#e8710a}{-7}}) \pm \sqrt{({\color{#e8710a}{-7}})^{2}-4 \cdot {\color{#c92786}{5}}({\color{#129eaf}{-18}})}}{2 \cdot {\color{#c92786}{5}}}
x=2⋅5−(−7)±(−7)2−4⋅5(−18)
2
Simplify
3
Separate the equations
4
Solve
Solution
=
7
±
4
0
9
√
1
0
Trever was 36 years old five years ago. How old is he now?
Help!
I really need this A!!
Answer:
2 * 2 * 2 * 2 * 2 * 2, 4 * 16, 8 * 8.
Step-by-step explanation:
To make this easier, let's find the values of all the answers.
2^6 = 64.
So now we compare the values.
6 * 6 * 6 * 6 * 6 * 6 = 46656.
2 * 2 * 2 * 2 * 2 * 2 = 64.
2 * 6 = 12.
4 * 16 = 64.
12 * 12 = 144.
8 * 8 = 64.
Answer:
22222241688
Step-by-step explanation:
I think I think I think
A stone is thrown horizantally with a velocity of 50 m/s from the top of a building. Find its velocity after 2 seconds.
Answer:
V = 53.7 m/s ∠-21.41°
Step-by-step explanation:
Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s
So, v = u - gt
v = 0 m/s - 9.8 m/s² × 2 s
v = 0 m/s - 19.6 m/s
v = - 19.6 m/s
Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)
So, V = √((50 m/s)² + (-19.6 m/s)²)
V = √(2500 m²/s² + 384.16 m²/s²)
V = √(2884.16 m²/s²)
V = 53.7 m/s
Its direction Ф = tan⁻¹(v/u')
Ф = tan⁻¹(-19.6 m/s/50 m/s)
Ф = tan⁻¹(-0.392)
Ф = -21.41°
So it velocity V = 53.7 m/s ∠ -21.41°
Brian is 6 feet tall and cast a 12 foot shadow. At the same time, Shirley casts a 9 foot shadow. How tall is shirley?
Select all that are equivalent to the expression x^-1/3
Answer:
1/∛x
Step-by-step explanation
Based on the therem of power of exponents;
a^-m = 1/a^m
Given the expression
x^-1/3
On comparison, you ca see that;
a = x
m = 1/3
Substitute into the general formula;
x^-1/3 = 1/a^1/3
Also, [tex]a^{\frac{1}{x} } = \sqrt[x]{a}[/tex]
Hence;
[tex]\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }[/tex]
This that the required expression is 1/∛x
the area is approximately __ square units,.
use 3.14 for pi
What is the measurement in the diagram?
9514 1404 393
Answer:
(a) 132
Step-by-step explanation:
Exterior angle DBA is the sum of the remote interior angles D and C.
∠DBA = 65° +67°
∠DBA = 132°
Shelley has a nickel and a penny and flips each coin. What is the probability that she will get tails on each coin?
Answer:
The probability of both coins landing on tails is 25%
Step-by-step explanation:
A coin toss is a 50% chance to get on either side, if you toss 2 coins that probability is cut in half and becomes a 25% chance to get both of the coins to land on the same side.
A cone has a volume of 100 cubic centimeters and a height of 12 centimeters. What is the
radius of the base of the cone in centimeters?
Hi there!
[tex]\large\boxed{r = 5 cm}[/tex]
The volume of a cone is as follows:
V = 1/3πr²h
We are given the volume and height, thus:
100π = 1/3πr²(12)
Begin by multiplying both sides by 3 (to cancel out the fraction):
300π = πr²(12)
Divide both sides by 12:
25π = πr²
Divide both sides by π:
25 = r²
Square root both sides:
5 = r
Answer:
the answer is 5 cm
hope this helps
What is the equation of the line that passes through the point (-6, -5) and has a
slope of 3/2 ?
Answer
y= 1.5x+4
Step-by-step explanation:
A former sells 9.4 kilograms of pears and apples at the farmers market. 4/5 of this weight is pears and the rest is apples. How many kilograms of apples did she sell at the farmers market
Answer:
1.88
Step-by-step explanation:
A farmer sells 9.4 kilograms of pears and apples
4/5 of the total weight is pears while the rest is apple
Let x represent the number of apples
9.4= 4/5 ×9.4 + x
9.4 = 0.8×9.4+x
9.4 = 7.52+ x
9.4-7.52= x
1.88= x
x= 1.88
A bag has 2 mint cookies, 1 donut, and 4 wafer cookies. Two items are drawn one at a time without replacement. What is the probability of first drawing 1 donut, and next drawing 1 mint cookie?
Answer: 1/21
Step-by-step explanation:
total = 2 + 1 +4 = 7
1/7 x 2/(7-1) = 2/42
2/42 simplifies to 1/21
1/7: 1 doughnut out of a total of 7 items
2/(7-1): 2 mint cookies are available in the pool out of 6 items -> since one item has already been chosen without replacement, so now the total is 6.
A local merchandized car wash can clean 51 vehicles in 1.5 hours. At this rate how many vehicles can the car wash clean in 12 hours
Answer:
408 Cars
Step-by-step explanation:
Dividing 12 Hours by 1.5 hour
= 12/1.5 = 8
Now Multiplying 8 by 51
=51 x 8
= 408 cars
Help me please 12x-30
Answer:
-360
Step-by-step explanation:
Answer:
-360
Step-by-step explanation:
yes is it correct.................
A rock is thrown from the top of a 763 feet tall
building. The distance, in feet, between the rock and
the ground t seconds after it is thrown is given by
d=-16t? – 2t + 763. How long after the throw
does it take for the rock to first reach 430 feet from
the ground?
Answer: 4.5 Seconds
Step-by-step explanation:
CHICKEN : EGG
(1 Point)
a. cow : milk
b. yesterday : today
c. boy : girl
d. toe : finger
e. hoof : mouth
Answer:
A: cow :milk bc it comes ot the cow like the egg comes out the chicken
Which equation describes a line that passes through the point (-6, 2) and is parallel to
the line represented by 2y - 4x = 10?
Anyone know??
Answer:
y = 2x +14
Step-by-step explanation:
2y - 4x = 10
=> 2y = 4x + 10
=> y = 2x + 5
↑ the slope of this equation
parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.
plug in point (-6, 2) & the slope "2" into the equation: y = ax + b to find "b."
=> 2 = -6(2) + b
=> b = 14
plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b
=> y = 2x +14
There are 20 donuts in 4 boxes.
How many donuts are in each box?
Answer:
5
Step-by-step explanation
20 divided by 4 equals 5
Which expression is equivalent to 2w?
Answer:
w + w
Step-by-step explanation:
w + w * 1 is the coefficent of w *
1w + 1w
(1+1) w
2w
Answer:
w+w
Step-by-step explanation: