The equation of a line u parallel to given equation of a line is y=1/7 x + 5.
Given that, the equation of line t is y=1/7 x-2.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
We know that, standard form of equation of a line is y=mx+c
Now, compare y=1/7 x-2 with y=mx+c, we get m=1/7
The slope of a line parallel to given line is m1=m2
So, slope of a parallel line is m=1/7
Put m=1/7 and (x, y)=(7, 6) in y=mx+c, we get
6=1/7 (7)+c
⇒ c=5
Substitute m=1/7 and c=5 in y=mx+c, that is
y=1/7 x + 5
Therefore, the equation of a line u parallel to given equation of a line is y=1/7 x + 5.
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Answer: Y= -1/7 x + 7 is the correct answer.
What is the best first step to solve the inequality 5x – 3 ≥ 2?
Add 3 to both sides of the equation.
Subtract 3 from both sides of the equation.
Add 2 to both sides of the equation.
Subtract 2 from both sides of the equation.
Answer:
A. Add 3 to both side of the equation.
Step-by-step explanation:
If you add 3 to both sides, right after you will be able to simplify it.
Answer:
A. Add 3 to both sides of the equation.
Step-by-step explanation:
It was correct… You’re welcome
How do you write 3.32 × 10^–1 in standard form?
Answer:
0.332
Step-by-step explanation:
just move the point to the left by the number of of power on the ten(if its negative to the left if postive to right)
Hal received $250 as a gift for his middle school graduation. He decided to save it in the bank
until he decided what to do with the money. The interest rate on his savings account is 2.5%. How
much interest will he earn the first year?
Answer:
Hall will earn 2.5% of the total money in his bank account every month and after year his total interest earnings will be at $86.22
Rikki decided to collect data to determine if a runner's time and speed are correlated. She determined the data to have a correlation coefficient of −0. 5. What does this r value indicate? No correlation A strong, positive correlation A weak, positive correlation A negative correlation.
The value of r indicates the negative correlation.
GivenRikki decided to collect data to determine if a runner's time and speed are correlated.
She determined the data to have a correlation coefficient of -0. 5.
What is the correlation coefficient?The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of the two variables.
She determined the data to have a correlation coefficient of -0. 5.
Here, the coefficient is negative which is -0.5.
This correlation coefficient indicates that there exists a weak negative correlation between the runner’s time and the speed.
This relation is negative because the correlation coefficient is negative.
Hence, The value of r indicates the negative correlation.
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T = 42 – 0.77
How fast did the temperature drop?
Answer:
The temperature dropped by 0.77°C to 41.23°C
Step-by-step explanation:
T = 42 - 0.77
T = 41.23°C
what is the answer please help
Answer:
A
Step-by-step explanation:
thw answer is on the picture
someone please help, i’m stuck
Answer:
o is there
2x-2
0 is answer
Scienceeee pleaseeee helppp meee
What can cause pollution in ground water?
flooding
car and truck exhaust
temperature inversions
organic waste and toxic industrial waste
Answer: Organic waste and toxic industrial waste
Step-by-step explanation: look it up if u dont believe me
Answer:
Step-by-step explanation:
Fracking can cause groundwater contamination. When companies or individuals frack for oil in areas close to residential living, they can leak chemicals or even oil retrieved from the Earth into local water sources (water tanks or wells). Carbon (or any pollutant) emissions can also contaminate groundwater. CO2 in the air can be absorbed by living organisms rooted in dirt/soil, leeching chemicals/pollutants into the ground and eventually into water sources.
Susan is buying a ring that is regularly $54. 95 and is on sale for 1/2 off. Which expression can Susan use to estimate the amount of the discount on the ring?.
The expression can Susan use to estimate the amount of the discount on the ring is 27.48.
Given
Susan is buying a ring that is regularly $54. 95 and is on sale for 1/2 off.
What is the discount?A deduction from the usual cost of something:
The cost of the ring is $54. 95.
Therefore,
The expression can Susan use to estimate the amount of the discount on the ring is;
[tex]\rm =54.96\times \dfrac{1}{2}\\\\= 27.48[/tex]
Hence, the expression can Susan use to estimate the amount of the discount on the ring is 27.48.
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If we assume that the annual rate of inflation were to remain steady at 3.4%, and particular item costs $45 now, what would this suggest we would be paying for the same item in a year?
Answer:
$46.53 and $49.75
Step-by-step explanation:
please help quickly thank you
Answer:
d is the answer
Step-by-step explanation:
D is the answer.
1/3×6 1/2. Distributive Property
Answer:
Step-by-step explanation:
You could do it like this (if you insist the distributive property should be used).
1/3 * (6 + 1/2) Remove the brackets
1/3 * 6 + 1/2*1/3 Combine
2 + 1/6 Change fraction to a decimal
2 + 0.1667 Combine
2.1667
This figure is made up of two rectangular prisms.What is the volume of the figure?Enter your answer in the box.
Answer:
1,134
Step-by-step explanation:
Graph the solution of this inequality:
4
*-10 > 1 -12
-20 -18 -16 -14 -12 -10 -8
--6
-4
-2
0
Drag a point to the number line.
The graph of the solution of the inequality is given in below attachment.
Graph the solution of the inequality (4/9)x-10 > x/3 - 12
Move 10 to the right side:
(4/9)x> x/3 - 12+10
(4/9)x> x/3-2
4x/9 - x/3 > -2
4x-3x/9> -2
Take LCM of 3 and 9:
x/9>-2
Multiply both sides by 9:
x>-18
Hence, the solution of the inequality is x>-18.
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6 = x/8 what is the equation for x ??
Answer: 48
Step-by-step explanation:
you have to multily 8 to get x by it self so multiple it by six here let me show you
6 times 8=x
the symbol "="is used to indicate
Answer:
Equal to is what = represent
Answer:
the answer to an equation
Step-by-step explanation:
ex. 1+1002=1003
Paula puts an initial $600 into a savings account. The account has a 7% annual compound interest rate. Find the amount of money in her account after nine years.
$600*0.07*9 years= $10
What is the answer to this question
Complete the square
*please include the steps*
4x^2+8x+36=0
Answer:
Step-by-step explanation:
4x^2+8x+36=0
Factor out the GCF: 4
1/4(4x^2+8x+36=0)
x^2+2x+9=0
Solve using the Quadratic formula.
a= 1
b= 2
c= 9
[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{ -2 \pm \sqrt{2^2 - 4(1)(9)}}{2(1)}[/tex]
[tex]x = \frac{ -2 \pm \sqrt{4 - 36}}{2}[/tex]
[tex]x = \frac{ -2 \pm \sqrt{-32}}{2}[/tex]
There are no real solutions because you cannot square root a negative number.
[tex]x = \frac{ -2 \pm 4\sqrt{2}i}{2}[/tex]
[tex]x = -1+2\sqrt{2}i\\ x= -1-2\sqrt{2} i[/tex]
8) A car travels at a speed of 50 feet per
minute. What is this speed in miles per
hour?
Answer:
3,000 ft per hour
Step-by-step explanation:
We know that 1 minute of driving gets us 50 ft of distance. We also know that there are 60 minutes in an hour. You can multiply 50 (ft per minute) by 60 (number of minutes in an hour) to get the number of ft per hour.
A basketball player shoots when she is 16 ft from the backboard. Given the ball has an initial velocity v0 at an angle of 30° with the horizontal.
1. The value of V(o) when d is 24 ft is 40.000ft/s
2. The value of V(o) when d is 32ft is 50.596 ft/s.
What is Projectile motion?Projectile motion is the motion of an object thrown (projected) into the air when, after the initial force that launches the object, air resistance is negligible and the only other force that object experiences is the force of gravity.
The height of a projectile is given as;
H = u²sin²(θ)/2g
where u is the initial velocity and g is the gravity
Therefore when h /d = 24ft
24 = u² × 1/4 /20
u² = 1600
u = √1600
u = 40.000ft/s
When d = 32ft
u² = 32 × 20 × 4
u² = 2560
u = √2560
u = 50.596 ft/s.
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Question
A basketball player shoots when she is 16 ft from the backboard. Given the ball has an initial velocity v0 at an angle of 30° with the horizontal.
1)Determine the value of v0 when d is equal to 24.000. (Round the final answer to three decimal places.
2)Determine the value of v0 when d is equal to 32.000. (Round the final answer to three decimal places.)
Select and enter a rule for the sequence.
0.8, 2.2, 3.6,5, ...
Answer:
add 1.4
Step-by-step explanation
Write the quadratic equation whose roots are 3 and -5, and whose leading coefficient is 2.
[tex]\begin{cases} x=3\implies &x-3=0\\ x=-5\implies &x+5=0 \end{cases}\qquad \implies\qquad a(x-3)(x+5)=\stackrel{0}{y} \\\\\\ a(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \stackrel{\textit{leading coefficient of 2}}{2(x^2+2x-15)}=y\implies 2x^2+4x-30=y[/tex]
Check the picture below.
1,3 -3,0 write an equation in point-slope form of the line that passes through the given points
Answer:
y = 3/4x + 9/4
Step-by-step explanation:
(1,3) and (-3,0)
to find the slope of the line we use the formula of finding the difference of the y-values over the difference of the x-values
slope ('m') = [tex]\frac{(3-0)}{(1-(-3))}[/tex]
m = 3/4
now we can use the slope-intercept form of a line to find the y-intercept:
y = mx + b
'x' and 'y' are values from a given point, 'm' is the slope, and 'b' is the y-intercept
3 = 3/4(1) + b
3 - 3/4 = b
2 1/4 = b Always put slope in a/b form
9/4 = b
HELP QUICK choose the equation that represents the graph below
Answer:
y= -2/3x+6
Step-by-step explanation:
so answer is C
Please help will give brainleist
Answer:
the answer is 6
Step-by-step explanation:
but 6 is the answer
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply. The coordinates of C prime are (0. 75, 0. 5). The coordinates of C prime are (1. 5, 1). The scale factor is One-eighth. The scale factor is 8. The scale factor is One-fourth. The scale factor is 4. The coordinates of B prime are (–0. 25, 1). The coordinates of B prime are (–0. 5, 2).
The true statements about the dilation are as follows;
The scale factor is One-eighth
The coordinates of the C prime are (0.75, 0.5).
The coordinates of B prime are (–0.25, 1).
Given
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4).
If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin.
What is transformation?Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation, and translation.
Dilation is the enlargement or reduction in the size of an object. If a point X(x, y) is dilated about the origin by a factor k, its new location is X'(kx, ky).
Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)
kA = A'
(-2k, 4k) = (-0.25, 0.5)
-2k = -0.25, hence k = 1/8
Therefore the scale factor is 1/8 (one- eight)
The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)
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I need help with number 11
Beginning with the quadratic equation y=ax^2+bx+c, Fred calculated -b/2a and then plugged that number in for x to get a Y
What is one reason he might have done this
Answer:
-b/2a is the equation to find the x coordinate of the vertex point and it's y, when x is plugged into the quadratic equation.
Step-by-step explanation:
Solve for x. Show all your work
42°
Step-by-step explanation:
[tex]\angle BAE =180\degree -132\degree[/tex]
(Angles in linear pair)
[tex]\angle BAE =48\degree[/tex]
[tex]\angle AEB =90\degree..(\because \overrightarrow{EC}\perp\overrightarrow{ED})[/tex]
[tex]\angle ABE = 180\degree-(48\degree+90\degree)[/tex]
(Angle sum postulate of a triangle)
[tex]\implies\angle ABE = 180\degree-138\degree[/tex]
[tex]\implies\angle ABE = 42\degree[/tex]
[tex]\angle CDE =\angle ABE = 42\degree[/tex]
(corresponding angles)
[tex]\implies x\degree=\angle CDE[/tex]
(vertical angles)
[tex]\implies x\degree=42\degree[/tex]
[tex]\implies x=42[/tex]
How to determine number of possible real roots for polynomial.
Answer:
using delta
Step-by-step explanation:
delta=b^2-4ac
