Answers
Answer:
x=4 and y=−2
Step-by-step explanation:
Let's solve your system by substitution.
3x+8y=−4;2x−4y=16
Step: Solve 3x+8y=−4 for x:
3x+8y=−4
3x+8y+−8y=−4+−8y(Add -8y to both sides)
3x=−8y−4
3x/3=−8y−4/3 (Divide both sides by 3)
x=−8/3y+−4/3
Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:
2x−4y=16
2(−8/3y+−4/3)−4y=16
−28/3y+−8/3=16 (Simplify both sides of the equation)
−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)
−28/3y=56/3
−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)
y=−2
Step: Substitute−2 for y in x=−8/3y+−4/3:
x=−8/3y+−4/3
x=−8/3(−2)+−4/3
x=4 (Simplify both sides of the equation)
So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4
Related Questions
answer plz plz plz plz plz
Answers
C. 270
Hope this helps! :)
Answer:
A.)90 degrees
Step-by-step explanation:
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answers
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
NEED HELP ASAP !!!! SOMEONE HELP ME
Answers
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
5 people are going to a dinner party. Each person at the party will eat 23 pounds of turkey. If you can only buy whole pounds of turkey, how many pounds should you buy?
Answers
Help me to do this question
Answers
Answer:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]
Two angles are said to be Complementary if their sum is equal to 90°
[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]
[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]
[tex]\sf{\implies 5C = 270}[/tex]
[tex]\sf{\implies C = 54}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]
Answer: The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]
Two angles are said to be Supplementary if their sum is equal to 180°
[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]
[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]
[tex]\sf{\implies 6S = 900}[/tex]
[tex]\sf{\implies S = 150}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]
Answer: The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
Which number is between
Answers
Answer:
D
Step-by-step explanation:
7.17 x 10(4) = 71,700
8.17 x 10(5) = 817,000
Any numbers between 71,700 and 817,000 is obv the answer
I did the math
A 69,200
B 7,200,000,000
C 7,570
D 80,530
Pretty obv that D be the only one that is inbetween 71,700-817,000
(excuse my spelling pls)
if the angle of elevation of the sun is 40 degrees, and is decreasing 1/3 radians/hour how fast is the shadow of a 35m tall pole lengthening?
Answers
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr}[/tex]
Step-by-step explanation:
Let y = height of the pole = 35 m (constant)
x = length of the shadow
They are related as
[tex] \tan \theta = \frac{y}{x} [/tex]
or
[tex]x = \frac{y}{ \tan\theta } = y \cot \theta[/tex]
Taking the time derivative of the above expression and keeping in mind that y is constant, we get
[tex] \frac{dx}{dt} = y( - \csc^{2} \theta) \frac{d \theta}{dt} [/tex]
Before we plug in the numbers, let's convert the degree unit into radians:
[tex]40° \times ( \frac{\pi \: rad}{180°}) = \frac{2\pi}{9} \: radians[/tex]
Since the angle is decreasing, then d(theta)/dt is negative. Therefore, the rate at which the shadow is lengthening is
[tex] \frac{dx}{dt} = (35 \: m)( - \csc^{2} \frac{2\pi}{9} )( - \frac{1}{3} \frac{rad}{hr} )[/tex]
or
[tex] \frac{dx}{dt} = 28.2 \: \frac{m}{hr} [/tex]
the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length
Answers
V = l × b × h
480cm³ = L × 8 × 6
Make L the subject.
480 = L × 8 × 6
⁴⁸⁰/₈×₆ = L
10cm = L
Therefore length = 10cm
Help!’!!!!!!!!! And thanksss
Answers
A regular polygon of (2A+ 1) sides has 140°
as the size of each
interior angle. Find A
Answers
Answer:
Ext angles = 40 degs 360/40 = 9 sides
Step-by-step explanation:
its urgent please help ASAP ty!!
Answers
Answer:
the answer choices oh uhm I think i
Find the missing measurement in this parallelogram.
Can someone please help?????
I must show the work
Answers
Answer:
35º
Step-by-step explanation:
u = 180 - 145
u = 35
Explanation: Since we know that its a parallelogram, you would take 180(the degrees of a straight line) and subtract it by 145. 180-145= 35
Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,
HELP!!! please
Answers
Answer:
38
Step-by-step explanation:
triangle
A school has 833 students. Of those students, 463 play a sport (A), 52 are in the band (B), and 21 do both(AB). (C) represents neither.
Answers
Answer:
Im sorry but it is kind of confusing
Step-by-step explanation:
Which one of the following represents exponential growth?
A: y = (48000)(.05)^x
B: y = (48000)(.95)^x
C: y = 2400(.05)^x
D: y = (48000)(1.05)^x
Answers
Simplify each of the following by rationalizing the denominator.
please do answer my doubt
Answers
Answer:
(47+21√5)/2
Step-by-step explanation:
Given the expression
7+3√5/7-3√5
= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)
= 49+21√5+21√5+9(5)/[7(7)-9(5)]
= 49+42√5+45/49-45
= 94+42√5/4
= 2(47+21√5)/4
=(47+21√5)/2
Hence the required expression is (47+21√5)/2
between which 2 square roots does 7 lie
6,7
23,30
32,43
45,60
Answers
Answer:
32, 43
Step-by-step explanation:
Your welcome! :)
Answer:
The answer is 45,60.
Step-by-step explanation:
We can use a square chart to answer this question.
I will zoom in to the particular ones we need.
[tex] {6}^{2} = 36[/tex]
[tex]{7}^{2} = 49[/tex]
[tex] {8}^{2} = 64[/tex]
7 is the square root of 49.
45 lies in between 36 and 49 so its square root is more than 6 but less than 7. It is around 6.708 to the nearest thousandth.
Meanwhile, 60 lies in between 49 and 64 so its square root is more than 7 but less than 8. It is around 7.746 to the nearest thousandth.
Hence, we can say that 7 lies in between the square root of 45 and the square root of 60.
The number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day. The number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day. In how many days will these two warehouses contain the same number of boxes
Answers
Answer:
These two warehouses will contain the same number of boxes in 51 days.
Step-by-step explanation:
Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:
Warehouse A = 476 + 4X
Warehouse B = 986 - 6X
476 + 4 x 50 = 476 + 200 = 676
986 - 6 x 50 = 986 - 300 = 686
476 + 4 x 51 = 476 + 204 = 680
986 - 6 x 51 = 986 - 306 = 680
Therefore, these two warehouses will contain the same number of boxes in 51 days.
work out 2/7 divided 7/8
Answers
Answer:
16/49
Step-by-step explanation:
2/ 7÷ 7/8
Copy dot flip
2/7 * 8/7
Multiply the numerators
2*8 =16
Multiply the denominators
7*7 = 49
numerator over denominator
16/49
Answer:
[tex]\frac{16}{49}[/tex]
Step-by-step explanation:
QUESTION 2
Simplify the following
a5×a7
Answers
Answer:
[tex]a^{12}[/tex]
Step-by-step explanation:
Identity Used : [tex]a^x \times a^y = a^{x+ y}[/tex]
[tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]
The following expressions are factorizations of 60. Which is the prime factorization?
Answers
Answer:
d
Step-by-step explanation:
press 60 on your casio calculator then the equal sign then shift and then 3rd row this button ".,,," which means factorise
Question
Patrick has 4 green hats, 3 blue hats, and 1 orange hat. If he selects a hat at random, what is the
probability of selecting a green hat?
.
0.4
O 0.5
O 0.8
Answers
Answer:
0.5
Step-by-step explanation:
First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total
= 4 / 8
= 1/2
HELP! Which of the following statements would prove line l is parallel to line m?
Answers
Answer:
Non of these.
Step-by-step explanation:
Because each of the options before have ≈ instead of =, however, to prove 2 lines are parallel, some angles must be equal. Corresponding angles and alternate angles should be equal. exactly equal.Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answers
Answer:
yes
Step-by-step explanation:
When factored completely, which is a factor of 6x^3-12x^2-48x?
Answers
Answer: C
Step-by-step explanation:
The solution is Option A.
The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 6x³ - 12x² - 48x be equation (1)
On simplifying the equation , we get
Taking 6x as the common factor , we get
A = 6x ( x² - 2x - 8 )
On simplifying the equation , we get
A = 6x ( x + 2 ) ( x - 4 )
Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )
Hence , the equation is 6x ( x + 2 ) ( x - 4 )
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
What is the missing side length in the triangle?
Answers
Factor the common factor out of each expression: 30+6k+18k^5
Answers
When 9 is added to five times a number, we get 19. The number is
Answers
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
I will give BRAINLIEST to the correct answer
Find the measure of angle 5
Answers
Answer:
84
Step-by-step explanation:
1 is = 84 since its a vertical angle.
5= 84 since its the corresponding angle in this tranversal.
Hoped this helped,
JoeLouis2
help help me please!!!
Answers
Answer:
it is 32
Step-by-step explanation:
the answer is 32 it is the answer
Answer:
32
Step-by-step explanation:
20% of 40 is 8
so 40-8=32
