The perpendicular bisector of a line divides the line into two equal segments and is perpendicular to the line
The perpendicular distance of point P from the line l is equal to the distance of the lost point s from the line l and points P and s are on opposite sides of the line l
The point s can be marked by constructing the perpendicular to line l passing through P
The steps to construct a perpendicular line from a point to a line and mark point s are given as follows;
Place the compass at the point P, and draw an arc intersecting line l at two points, A and BPlace the compass at point A and draw an arc with a radius, r, larger than half the length of segment AB above and below line lPlace the compass point at point B, and with the same radius r draw arcs intersecting the the arcs drawn from point A above and below the lineMark the point of intersection of the two arcs above and below the line l as the points D and EJoin points D and E with the a line to form the line DE drawn with a straightedge and extend DE line such that it passes through point PMark the point of intersection of the line DE and line l as the point F on the line lPlace the compass at the point F, and with a radius FP, draw an arc to intersect the line DE on the other side of the line lMark the point of intersection of the line DE by the arc of radius FP as the point sThe constructed point s above is the required point and points P and s are located on opposite sides of the line l
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Rewrite the quadratic function in standard form,
f(x)=3x^2-4x
Answer:
x(3x-4)
Step-by-step explanation:
What is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7
Answer:
y=-1/6x-2
Step-by-step explanation:
Lets find the slope of the given line
6x-7=y,m=6
The slope of the perpendicular line would be=-1/6
Using the point-slope form y-y1=m(x-x1)
y--1=-1/6(x--6)
y+1=-1/6(x+6)
6y+6=-x-6
6y=-x-6-6
6y=-x-12
y=-1/6x-2
Find the y-intercept of the line.
y=-1.4x + 6.9
Answer:
The y-intercept is 6.9
Step-by-step explanation:
The formula is y = mx + b, where m is slope and b is y-intercept.
Hope this helped :)
Which of the following are valid names for the given triangle? Check all that apply
Step-by-step explanation:
i think the answer is c MAX
Which statement corresponds to the values of x shown on the following number line? (Gray line is answer, dark black line is just number line)
a) -4 5x<2
b) -4
c) -45x>2
d) -42 x > 2
Answer:
a)-4 5×<2
Step-by-step explanation:
#CarryOnLearningSimplify the expression (3 − 4)(6 + 7) − (2 − 3). show your work
Answer:
-12
Step-by-step explanation:
[tex]=-1\cdot \left(6+7\right)-\left(2-3\right)\\=-1\cdot \:13-\left(2-3\right)\\=-13-\left(-1\right)\\=-12[/tex]
please help me on this question ASAP
i need it dont by midnight and its already 10:30.
Answer:
a) 3(17 )+ 4(9) = 81
b) 13.5m/s^2
Step-by-step explanation:
trust
A store is having a sale where all shoes are discounted by 25%. Diego has a coupon for 2% off of the regular price for one pair of shoes. The store first applies the reduced price. If Diego pays $24.38 for a pair of shoes, what was the original price before the sale and without the coupon?
Answer:
28.47 sorry if I am wrong
Step-by-step explanation:
Which point is an x-intercept of the quadratic function
f(x) = (x – 3)(x + 2)?
A(3, 0)
B(0, 2)
C(0, -2)
D(-3, 0)
Answer:
A
Step-by-step explanation:
The x-intercepts are the roots of a parabola. Specifically, when a parabola is in the form [tex]f(x)=(x-h)(x-k)[/tex], where h and k are real numbers, the roots are [tex](h, 0)[/tex] and [tex](k, 0)[/tex].
Our parabola has a plus, though. That's a problem, right?
No! [tex]x+2=x-(-2)[/tex], so there's no problem. So, our roots are [tex](3, 0)[/tex] and [tex](-2, 0)[/tex].
So, the answer is A and we're done!
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Answer:
-1/4
Step-by-step explanation:
Use the slope formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-8-(-5)}{0-(-12)}[/tex]
Which equals -1/4
There are 300 people attending a conference. If each table at the conference can seat 3 people, how many tables will the conference need?
Answer:
100
Step-by-step explanation:
300 divided by 3
the 300 people would by divided into groups of three which means there would by 100 tables
Kate's Pattern
Andy's Pattern
Kate and Andy made the following
patterns.
X
у
Х
у
1
2
1
4
Which statement is true?
2
4
2
8
3
6
3
12
4
8
4
16
) Kate's y-values increase at 3 times the rate of Andy's y-values.
® Kate's y-values increase at 2 times the rate of Andy's y-values.
© Andy's y-values increase at 2 times the rate of date's y-values.
D Andy's y-values increase at 3 times the rate of Kate's y-values.
Answer:
Answer is C
Andy's Y value increases 2 times more
Answer:
B)
Step-by-step explanation:
If you look at Kate's y column, you will see that her pattern goes by 2,4,6 and 8.
It increases by 2.
At the same rate, Andy's increases by 4.
Therefore, B would be the correct answer.
Is this correct?
If it’s not, help me :(
Could someone help answer this, please no spam, thank you, will give brainliest, homework help,!
Answer:
Inequality form: b > 8
What is an equation of the line that passes through th (3,-1) and has a slope of 2?
The given point to us is (3,-1) and the slope of the line is 2 . We can use the point slope form of the line as ,
[tex]\sf\longrightarrow m ( x - x_1) = y - y_1[/tex]
Substitute the values ,
[tex]\sf\longrightarrow 2( x - 3 ) = y - (-1) [/tex]
Simplify LHS and RHS ,
[tex]\sf\longrightarrow 2x - 6 = y +1 [/tex]
Put all terms on one side ,
[tex]\sf\longrightarrow \boxed{\bf 2x - y -7=0} [/tex]
solve for y
2x+3y=r
(Show solving steps please)
2x + 3y = r
---Subtract 2x from both sides
3y = r - 2x
---Divide both sides by 3
y = (1/3)(r) - (2/3)(x)
Hope this helps!! :)
Question is in the pic :)
Answer:
d+d=e
Step-by-step explanation:
Is 2750 a reasonable answer for 917 * 33 explained
Answer:
No
Step-by-step explanation:
To make this simpler, we will round each number. 917 rounds to 900 and 33 rounds to 30. 900 * 30 = 27,000. We can do this in our head because 9 * 3 = 27, and there are three zeros total between 900 and 30, so we add three zeros after 27. 2750 is not a reasonable answer because the true answer is about 10 times greater than 2750.
There are 454 grams in a line. There are 16 ounces in a pound.How many grams are in an ounce?
Answer:
28.375 (rounded to 29 grams)
Step-by-step explanation:
there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams
Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21
Answer:
X = 31.5
Step-by-step explanation:
X / 1.5 = 21
X = 21 * 1.5
B
A
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
A. 90
B. 180
C. 270
D. 360
Answer:
A 90 degrees because the triangle is at a right angle and to rotate it counter clockwise
The answer is letter B. 180
what are all the possible ratios that can be made out of 32:56
Karen wanted to cut three lengths of wood from a 10 foot long board. The length of three pieces she wanted to were 1 2/3 feet 2 3/4 feet and 3 5/6 feet
[tex]\\ \sf\longmapsto 1\dfrac{2}{3}+2\dfrac{3}{4}+3\dfrac{5}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{3}+\dfrac{11}{4}+\dfrac{23}{6}[/tex]
[tex]\\ \sf\longmapsto \dfrac{20+33+46}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{99}{12}[/tex]
[tex]\\ \sf\longmapsto 8.2ft[/tex]
Rope left
[tex]\\ \sf\longmapsto 10-8.2=1.8ft[/tex]
1¾ ft ≈ 1,75 ft
Step-by-step explanation:[tex] \sf 1\frac{2}{3} + 2 \frac{3}{4} + 3\frac{5}{6} [/tex]
[tex] \sf = \frac{3 + 2}{3} + \frac{4 \times 2 + 3}{4} + \frac{6 \times 3 + 5}{6} [/tex]
[tex] = \sf \frac{5}{3} + \frac{11}{4} + \frac{23}{6} [/tex]
[tex] \sf = \frac{5 \times 4 + 11 \times 3}{3 \times 4} + \frac{23}{6} [/tex]
[tex] = \sf \frac{20 +33 }{12} + \frac{23}{6} [/tex]
[tex] \sf = \frac{53}{12} + \frac{23}{6} [/tex]
[tex] = \sf \frac{53}{12} + \frac{23 \times 2}{6 \times 2} [/tex]
[tex] \sf = \frac{53}{12} + \frac{46}{12} [/tex]
[tex] \sf = \frac{99}{12} [/tex]
[tex] \sf = \frac{10}{1} - \frac{99}{12} [/tex]
[tex] \sf = \frac{10 \times 12 - 99}{12} [/tex]
[tex] = \sf \frac{120 - 99}{12} [/tex]
[tex] \sf = \frac{21}{12} [/tex]
= 1¾ ft ≈ 1,75 ft
Write an equation of a line in point-slope form with the
information given.
1. passes through: (6, 0); slope: - 1/6
Answer: (y − 0) = -(1/6)(x − 6) or y=-(1/6)(x-6)
Step-by-step explanation:
An equation in Point Slope form: y − y1 = m(x − x1), where m is the slope and x1 and y1 are provided as a single point, (x1,y1). We have slope(m) = -(1/6) and are given (6,0). Therefore:
(y − 0) = -(1/6)(x − 6) (Point slope form)
y = -(1/6)(x-6)
Rewriting this into standard form, y = mx + b
y = -(1/6)x + 1
2 For each figure, are 21 and 22 adjacent angles or vertical angles? Explain.
b.
a.
2
Answer:
a is vertical and b is adjacent angles
I need help w/ this please help me!!
Answer:B
Step-by-step explanation:
B
Answer:
y = -4/3x - 4
Step-by-step explanation:
Pls answer ASAP timed assignment
Answer:
A and C
Step-by-step explanation:
Answer:
a and c are right
Step-by-step explanation:
the base must be the number and the exponent is how many times it is multiplied
please help me
3x≤21
x≤__?
Answer:
divide both sides by 3
givea you
x<= 7
1. Refer to the equation 2x − 4y = 12.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line.
Somebody explain!!!!!!!!!!!
Answer:
$190
Step-by-step explanation:
Let's call the original price of the jacket "x".
If the new cost of the jacket is $87, we can represent this as x/2-8=87. By solving for x, we see that the original price of the jacket is $190
Answer:
I think the answer would be 182
Step-by-step explanation:
87x2= 174
174+8= 182