Answer:
y = 1/2x + 2.
Step-by-step explanation:
It passes through the points (-4, 0) and (2,3) so
the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.
Using the point slope form of a straight line:
y - y1 = m(x - x1):
y - 3 = 1/2(x - 2)
y = 1/2x - 1 + 3
y = 1/2x + 2 is the required equation.
Question 7 (Essay Worth 10 points)
(03.08A MC)
The number line shows the distance, in meters, of two divers, A and B, from a shipwreck located at point X:
1.5
B
Х
-2.5
A
Hot
-3 -2
+
-1
0
1 2 3
Distance (m)
Part A: Write an expression using subtraction to find the distance between the two divers. (5 points)
Part B: Show your work and solve for the distance using additive inverses. (5 points)
Answer:
45
Step-by-step explanation:
what is the measure of ∠x?
From figure we have , ∠GFH = 80° and ∠HGF = 60° , ∠GFH = 40° and ∠GFE = x°
Now,
In ∆HGF
Since Sum of the angles of a triangle is 180° :
∠GFH + ∠HGF + ∠GFH = 180°
80° + 60° + 40° = 180°
14° + 40° = 180°
54° = 180° ………..(1)
∠GFH + ∠GFE = 180° [Linear pair]
80° + x° = 180°
x° = 180°-80°
x° = 100°
Hence the value of ∠x is 100°
Among the given options option (D) 100° is correct.
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(-14,-3) (6,10) find the slope and explain
please
Answer:
The slope would be 13/20
Step-by-step explanation:
10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)
hope this helps!!
Why is it helpful to use the rational zero theorem in finding the zeros of polynomial function? Explain your answer.
Answer:
The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.
Hope that helps.
Answer:
Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.
Step-by-step explanation:
i hope it helpful:)
(03.02) If g(x) = x2 + 2, find g(3). (2 points) Group of answer choices 9 8 11 6
this answers is 8 am I right
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
Answer:
13/15
Step-by-step explanation:
15 is the least common denominator,
so 1/5 = 3/15
2/3 = 10/15
3/15 + 10/15 = 13/15
It can't be reduced.
Answer:
Step-by-step explanation:
The lowest common multiple of these 2 denominators is 3 * 5 since 3 and 5 are prime to each other. (They share no common factor.)
1/5 * 3/3 = 3/15
2/3 * 5/5 = 10/15
3/15 + 10/15 = 13 / 15
simplify as much as possible please u get 50 points thank you
Answer:
y = 7
Step-1: Subtract 8 both sides
⇒ [tex]36 = 4y + 8[/tex]
⇒ [tex]36 - 8 = 4y + 8 - 8[/tex]
⇒ [tex]28 = 4y[/tex]
Step-2: Divide 4 both sides
⇒ [tex]28 = 4y[/tex]
⇒ [tex]\frac{28}{4} = \frac{4y}{4}[/tex]
⇒ [tex]7 = y[/tex]
Solve the following equation algebraically: 3 x squared = 12 a. Plus-or-minus 3 b. Plus-or-minus 2 c. Plus-or-minus 3.5 d. Plus-or-minus 1.5
Answer:
b) ±2
Step-by-step explanation:
3x² = 12
divide each side by 3 to get:
x² = 4
x = ±2
The value of the equation 3x² = 12 is x = ±2.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 6 is an equation.
We have,
3x² = 12
Divide 3 on both sides.
x² = 4
x = ±√4
x = ±2
Thus,
The value of x is ±2.
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#SPJ2
Find the area of the shape.
Answer:
27 π
Step-by-step explanation:
Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].
3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]
if x + y = 180 and y = 45, then x + 45 = 180 an example of substitution?
This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
I NEED ANSWER NOW PLEASE TELL ME HOW YOU GOT THE ANSWER PLEASE NO LINKS ITS DUE IN 12 MINS!
Answer:
65.214
Step-by-step explanation:
0x100=0
6x10=60
5x1=5
2x(1/10)=0.2
1x(1/100)=0.01
4x(1/1000)=0.004
add all of these values up. hope this helps!
A student earned 80% on a math test if she got 20 questions correct how many problems were on the test
Answer:
16
Step-by-step explanation:
80% of 20 is 16
Answer:
25
Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.
can someone help me
Answer:
The answer is 6 cause khan acadamy
Step-by-step explanation:
How to find zeros of a quadratic function
example
f(x)=x^3+2x^2-25x-50
Answer:
Step-by-step explanation:
x=2,−5,5
if any doubt leave a comment
Give BRAINLIEST
Find the gradient of the line segment between the points (10,-4) and (6,-16).
10 0breros construyen un complejo 336 días, ¿cuantos días les tomaría hacer el mismo complejo a 15 obreros?
Usando proporciones, se encuentra que 15 obreros hacerían el mismo complejo en 24 días.
Esta pregunta se resuelve por proporciones, usando una regla de tres. Cuanto mayor lo número de obreros, menor el tiempo, o sea, las medidas son inversamente proporcionales, lo que implica que la multiplicación es en línea.10 obreros toman 336 dias. ¿Cual el tiempo necessário para 15 obreros?La regla de três es:
10 obreros - 336 días
15 obreros - x días
Aplicando multiplicación en línea:
[tex]15x = 336(10)[/tex]
[tex]x = \frac{336(10)}{15}[/tex]
[tex]x = 24[/tex]
15 obreros hacerían el mismo complejo en 24 días.
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8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?
The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.
The correct responses are;
(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 NReasons:
The velocity of the brick as it reaches the ground is given by the formula;
v² = 2·g·h
v = √(2·g·h)
Where;
h = The height of the brick, h = 1.6 m
g = The acceleration due to gravity ≈ 9.81 m/s²
Therefore;
v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s
(a) Momentum = Mass × Velocity
The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s
(b) Impulse = Force × Δt = Mass × Δv
Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s
Therefore, the impulse = 44.8 N·s
(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m
Initial energy in the brick, E = m·g·h
Which gives;
E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J
Energy = Force × Distance
[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]
The average force the carpet exerts, F = 6,278.4 N
(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;
Distance = 6.0 cm = 0.06 m
Therefore;
[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]
The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N
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Problem 1: Solution to the system of equations
A line is parallel to the line for the equation: -9y = 2x + 35.
What is the slope of the parallel line?
Answer:
-2/9
Step-by-step explanation:
if the line is parallel it has the same slope.
The equation can be written as y = -2/9x - 35/9
so the slope is -2/9
A line passes through (-3, -2) and is perpendicular to 3x - 2y = 7.
What is theFind the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1.
(-4, -4)
(-4, 0)
(6, 2)
(-4, 6)
help ASAP please again
she got a 110 score
explanation: sorry ignore just had to do 20 characters
if a customer spent $60, how many people did they buy food and beverages for?
Hello please answer everything carefully :)
Answer:
Line 3
Step-by-step explanation:
Line three should be
2*3*sqrt(5)-3sqrt(5)
1/4 of 90. …………………????
Answer:
22.5
Step-by-step explanation:
-0.5 (bar over 5) as a fraction simplified
Answer:
5/9
step by step follow up
Find the area of shaded region
Answer:
Hope it will help you...
What is the answer to X=7-3y And 2x-4y=-6
I need it
Answer:
x = − 3 y + 7
Step-by-step explanation:
Reorder 7 and − 3
Write the formula for the volume of a cone V=1/3 π r^2 h in terms of h. Find the height h of a cone with volume V= 32π cm^3 and a radius r= 4cm
Answer:
Step-by-step explanation:
h≈1.91cm
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
1. 5/3 is not equal to 3/5.
2. 7-(4+3) is equal to (4+3)-7
3. (x + y) + 1 is equal to x + (y + 1)
Step-by-step explanation:
1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5
2. If you solve both of them, they are equal because 7-7 = 7-7
3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.
Plz mark brainliest thx
#1
[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]
Here 5[tex]\neq 3[/tex]
Hence inequality holds
#2
[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]
[tex]\\ \sf\longmapsto 7-7=7-7[/tex]
[tex]\\ \sf\longmapsto 0=0[/tex]
Equality holds
#3
[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]
Equality holds
Done
50 POINTS!!! MUST BE CORRECT OR I WILL DELETE IT AND REPORT IT!
What is the solution to the equation –3 + 5x = 42?
Answer:
x=9
Step-by-step explanation:
-3 + 5x = 42
add 3 to both sides
5x=45
divide both sides by 5
x=9
Answer:
x=9
Step-by-step explanation:
Solve: x²+5x-6 = 0
Answer please
Given that:
x² + 5x - 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 1 × 6 = 6
→Difference of the constant term and the coefficient of x² = 6 - 1 = 5
Now the given equation can be written as,
⇛x² + 6x - 1x - 6 = 0
(Here we simply applied the correc sign and splitted the middle term in two terms)
Now let's take the common terms
⇛x(x + 6) - 1(x + 6) = 0
On grouping we get,
⇛(x - 1)(x + 6) = 0
Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.
⇛(x - 1) = 0 or (x + 6) = 0
⇛x - 1 = 0 or x + 6 = 0
⇛x = 1 or x = -6
Here we got two solutions of the equations. This means thet are in correct form.
Answer: The value of X is 1 or -6.
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