Answer:
f(x) = x^2 - 3x - 28
Step-by-step explanation:
The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7). The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or
f(x) = x^2 - 3x - 28
Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
A. y=2x-2
B.y= -1/2x+8
C.y=-1/2x-8
D.y=2x=2
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the (6,5) points
in order to do so
recall that,
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]
since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute
[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]
add 5 to both sides:
[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]
hence,
our answer choice is B
You can complete
to keep. ALL TESTS ARE DUE ON MONDAY, MAY 3rd! This will count as
grade.
MATH
NATION
A square has sides of length s. A rectangle is 6 inches shorter than the square and 1 inch longer.
Which of the following expressions represents the perimeter of the rectangle?
Answer:
Step-by-step explanation:
Length of rectangle: s +1
Width of rectangle: S -6
Perimeter of rectangle:2(s+1+s-6)=2(2s-5)=4s-10
Estimate the number of fish eaten by the dolphins.
Answer:
so take 354 and add 210 simple u will get 564
Answer:
The correct answer is 564
but a Estimate would be 561.
Your welcome.
Step-by-step explanation:
On Tuesday the train journey took 7 hours and 20 minutes and began at 13 53. (i) At what time did the train journey end? [1] (ii) Tuesday's time of 7 hours 20 minutes was 10% more than Monday's journey time. How many minutes longer was Tuesday's journey?
i)It ended at 21:13
ii) 440*10/100
44 mins longer
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
110% = 440 minutes (Tuesday journey)
100% = 100/110 x 440
100% = 400 minutes (Monday journey)
Tuesday's journey took 40 minutes longer than Monday's journey.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
On Tuesday the train journey took 7 hours and 20 minutes and began at
13:53.
The time train journey ended.
= 13:53 + 7 hours + 20 minutes
= 13 hours + 53 minutes + 7 hours + 20 minutes
= 20 hours + 73 minutes
= 20 hours + 60 minutes + 13 minutes
= 20 hours + 1 hour + 13 minutes
= 21 hours + 13 minutes
This means,
= 21:13
The train ended the journey at 21:13
Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.
This means,
Converting into minutes.
7 hours 20 minutes
= 60 x 7 + 20 minutes
= 420 minutes + 20 minutes
= 440 minutes
Monday's journey time.
110% = 440 minutes:
100% = 100/110 x 440
100% = 400 minutes
Thus,
Tuesday's journey took 40 minutes longer than Monday's journey.
Learn more about percentages here:
https://brainly.com/question/11403063
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Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If the length of BF is twice the length of CF and the perimeter of Triangle ABC is 32 inches, then determine the length of side BC in inches.
Answer:
The answer is "12 inches".
Step-by-step explanation:
Please find the image file of the graph.
We know [tex]AE = CF \ and \ EB = FB[/tex] so because the triangle is isosceles.
[tex]EB = 2x, FB = 2x,\ and \ CF = x[/tex] when [tex]AE[/tex] is called by [tex]x[/tex].
We know that [tex]AE = AD = x[/tex] since E and D are tangent points to a circle.
They have [tex]CD = CF = x[/tex] since D and F are tangent points only to circle.
Thus, if the perimeter is 32, the following is the result:
[tex]\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4[/tex]
Therefore the length of [tex]BC = BF + FC = 2x + x = 3x = 12\ inches[/tex]
can you help me pleaseeeeeee
Answer:
It's called proportion.
Step-by-step explanation:
The equality of ratios are proportional because like for example 2:3 and 4:9 these two ratios are the same. If you break down 4:9 you will get 2:3. So That's how the term proportional is applied. If we apply these ratio on a triangle they would look the same but just one is small and one is large and we can get it bigger by increasing the ratios. But the difference bwtween the ratios would be same so they are all proportional
PLEASE ANSWER!
I need asap
Answer:
input sloperelation outputStep-by-step explanation:
very sorry if I'm wrong
I need this answer, please?
Answer:
4.23
Step-by-step explanation:
3.68 + 0.21 + 0.25 + 0.01 + 0.08 = 4.23
hii please help i’ll give brainliest:)
Answer:
They most of the time used the ability to row ships to get to places
Step-by-step explanation:
They were more reliable to row ships to trade with other people because the Mediterranean Sea was critical to how they were able to trade.
Marco has $1.31 in his coin bank. He spends 87c to buy a pen. After he buys the pen,How much does he has left?
Answer: $0.44
Step-by-step explanation:
Since Marco has $1.31 in his coin bank and he spends 87c to buy a pen, the amount taht will be left with him after he buys the pen will be gotten by subtracting 87cents from $1.31.
Note that 100 cents = $1
Therefore, $1.31 will be = 100 × 1.31 = 131 cents.
Therefore, 131 cents - 87 cents = 44 cents or $0.44
He has $0.44 left
How many triangles can be made with only 60 centimeters, 100 centimeters, and 40 centimeters?
which expression is equivalent to 2x+x^2+3x|+5x^2-10x?
(A) x
(B) x^2
(C) -5x+6x^2
(D) 15x+6x^2
A triangle has sides with lengths of 47 inches, 27 inches, and 36 inches. Is it a right triangle?
Answer:
No because one side would have to be 54 in order for it to work
Step-by-step explanation:
the area is 634 and the perimeter is 128 so that would mean that one side would need to be 54
PLEASE HELPPPP ITS A BIG TEST AND I DON’T KNOW WHAT TO DO
Answer:
choice 2
Step-by-step explanation:
a translation is just a copy from one location to another
What is the range of possible sizes for x?
Answer:
9.0 - 15.0
Step-by-step explanation:
Give Brainllest
GUYS SOMEONE SMARTER THAN ME, HELP!!! 100 POINTS TO YOU SMART PEOPLE!!
Answer:
6) yes
7) no
Step-by-step explanation:
The percentage of American men who say they would marry the same woman if theyhad it to do all over again is 80%. The percentage of American women who say they would marry the same man again is 50%.
A) What is the probability that in a group of 10 married men, at least 7 will claim that they
would marry the same woman again?
B) what is the probability that less than half will say this?
C) what is the probability that in a group of 10 married woman, at least seven would claim that they would marry the same man again?
D) what is the probability that less than half will say this?
What is 10 plus 9 plus 5047
Answer:
5066
Step-by-step explanation:
10 + 9 + 5047 = 5066
The answer is 5066
Answer:
5066
Step-by-step explanation:
(10 + 9) + 5047
what are the measures of three angles with ratios of 1:2:3 and sum is 180
Can someone help me
the answer is 9 because
3x9=27
and 27-18=9
mark brainliest plz
a quadratic function f(x) is graphed in the xy-coordinate plane in which wuadrant eould the vertex of f (x+3)+2
Answer:
The vertex is located on the x-axis between the second and third quadrants
Step-by-step explanation:
Whereby the function is f(x) = (x + 3)², we have;
f(x) = (x + 3)² = x² + 6·x + 9
The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;
h = -b/(2·a) and k = f(h)
Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;
a = 1, b = 6, c = 9
h = -6/(2 × 1) = -3
k = f(-3) = (-3)² + 6 × (-3) + 9 = 0
The vertex (h, k) = (-3, 0)
Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.
HELPPPP PLEASE !!! I will give brainliest!!! THANK YOU
The parabola y = x2 is reflected across the x-axis and then scaled vertically by a factor of 5.
What is the equation of the new parabola?
y =
THANK YOu!!!!!
Answer:
Step-by-step explanation:
something like this Gigi,
y = -5([tex]x^{2}[/tex])
1/3 divided by 6 with explanation!
Answer:
Step-by-step explanation:
In mathematics, every integer is a rational number, hence a whole number 6 can be written as 6/1. 1/3 ÷ 6 = 1/18 in fraction form. 1/3 ÷ 6 = 0.0556 in decimal form.
Answer:
1/18 or 18 is your answer.
Step-by-step explanation:
Since 1/3 is already in fraction form, we will now turn 6 into fraction form. Which is 1/6. Now we will put it into the equation 1/3 x 1/6 = 1/18. The fraction 1/18 can also be 18. Therefore, 18 or 1/18 is our answer.
answer this question for 30 points and brainilest
Answer:
Volume of left side cylinder will be less than the volume of right side cylinder.
Step-by-step explanation:
Volume of a cylinder is given by the formula,
Volume = πr²h
Here, r = radius of the circular base
h = Height of the cylinder
Volume of the left hand cylinder = π(b)²a
Volume of the right hand cylinder = π(a)²b
It's given in the question that a > b
Let the value of a = 3 and b = 2
Then the volume of left hand cylinder = π(2)²(3)
= 12π
Similarly, volume of right hand cylinder = π(3)²(2)
= 18π
Therefore, volume of left side cylinder will be less than the volume of right side cylinder.
Find the value of x need help fast
Answer:
x = 30
Step-by-step explanation:
2x + x + 90 = 180
3x + 90 = 180
3x = 90
x = 30
the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan
12cm
have an amazing day <3
hii please help asap ill give brainliest thanks
Answer:
robes were embroidered with strands of gold.
Step-by-step explanation:
based on archeological evidence
14 yd
Area Formula= base x height
Base = 7 yd X 2yd Height= 14 yd
Volume = Area of base x height
Answer:
The volume is 196 cubic yards
Step-by-step explanation:
Given
[tex]Base\ Area = 7yd * 2yd[/tex]
[tex]Height = 14yd[/tex]
Required
The volume
The volume is given as:
[tex]Volume = Base\ Area * Height[/tex]
Where:
[tex]Base\ Area = 7yd * 2yd[/tex]
[tex]Height = 14yd[/tex]
So, the equation becomes
[tex]Volume = 7yd * 2yd * 14yd[/tex]
[tex]Volume = 196yd^3[/tex]
Solve the equations with variable on both sides: 8x=10x + 20 A. X= -10 B. X= -35 C. X= -23 D. X= -40
The correct answer is A
A) [tex]8(-10)=10(-10)+20[/tex] becomes [tex]-80 = -80[/tex]
B) [tex]8(-35)=10(-35)+20[/tex] becomes [tex]-280 \neq -330[/tex]
C) [tex]8(-23)=10(-23)+20[/tex] becomes [tex]-184 \neq -210[/tex]
D) [tex]8(-40)=10(-40)+20[/tex] becomes [tex]-320\neq -380[/tex]
Help again please........
Answer:
D
Step-by-step explanation:
-7 cubed = -343
-3 squared = -9
-343 - (-9) = -334