Answer:
x < - 4
Step-by-step explanation:
Given
2x - 2 > 4x + 6 ( subtract 2x from both sides )
- 2 > 2x + 6 ( subtract 6 from both sides )
- 8 > 2x ( divide both sides by 2 )
- 4 > x , thus
x < - 4
Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. (0,0), (16,4), (4,6) b. (3,4), (11,12), (8,15)
Answer:
The answer is below
Step-by-step explanation:
a) The equation of a line passing through the point (0,0) and (16,4) is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]
We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).
The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]
The slope of a line passing through the point (16,4) and (4,6) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1/6 and passing through the point (0,0).
The line perpendicular to a line with slope -1/6 has a slope of 6
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]
Solving y = 6x and y = -4x + 22, gives:
x = 2.2, y = 13.2
Hence the orthocenter is at (2.2, 13.2)
b)
The slope of a line passing through the point (3,4) and (11,12) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]
We have to find the equation of the line perpendicular to the line with slope of 1 and passing through the point (8,15).
The line perpendicular to a line with slope 1 has a slope of -1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]
The slope of a line passing through the point (11,12) and (8,15) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1 and passing through the point (3,4).
The line perpendicular to a line with slope -1 has a slope of 1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]
Solving y = -x + 23 and y = x + 1, gives:
x = 11, y = 12
Hence the orthocenter is at (11, 12)
Can you figure this out for me ? I’m having issues .
Answer:
71
you just had to add them
Step-by-step explanation:
what is the equation of a line that passes through the points (5,3) and (1,-5)? please put the answer on slope intercept form.
Answer: Answer and explanation in picture
Step-by-step explanation:
Help this confusing no matter how any times I do it
Answer:
The variable 8. Equation is 16 + 12x = 112.
Step-by-step explanation:
We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes the books the variable (X).
To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.
Sorry everything is so long, I tried to make it short as possible
Solve correctly and I’ll give brainliest
PLEASE PLEASE PLEASE HELP ME!!!!!! Determine whether the points (–2,3) and (0,–1) are in the solution set of the system of inequalities below. y > –x – 2 y < –5x + 2.
options
A)
Both points are in the solution set.
B)
Neither of the points is in the solution set.
C)
The point (–2,3) is not in the solution set, and the point (0,–1) is in the solution set.
D)
The point (–2,3) is in the solution set, and the point (0,–1) is not in the solution set.
Answer: the answer is A.
Step-by-step explanation:
I took the test
Solve- x/2 + 1=5
A)8
B)9
C) 11
D) 2
Answer:
A. 8
Step-by-step explanation:
Answer:
A/8
Step-by-step explanation:
Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That leaves you with x=8
What is the slope of the line that passes through the points (-9,10) and (21,15)
Answer:
1/6
Step-by-step explanation:
We can find the slope of the line using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 15 - 10)/( 21 - -9)
= ( 15-10) /( 21+9)
=5 / 30
= 1/6
Solve for side BA
(show your work)
Answer:
The length of AB is 25.6 mi.
Step-by-step explanation:
You have to apply Sine Rule :
[tex] \frac{AB}{ \sin(90) } = \frac{22.6}{ \sin(62) } [/tex]
[tex]AB = \frac{22.6}{ \sin(62) } \times \sin(90) [/tex]
[tex]AB = 25.6 \: mi \: \: (3s.f)[/tex]
12.2z + 19.4 = -2.7z + 93.9
Answer:
z=5
Step-by-step explanation:
12.2z+ 19.4 = -2.7z + 93.9
14.9z=74.5
z=5
What is the value of the function for x = 2? HELP!
Answer:
-2
Step-by-step explanation:
Follow you finger 2 marks on the x axis and then move your finger up or down to say the resulting y value
could someone help
if a number is tripled , it give same result as 28 is added to it find the number
Given :
If a number is tripled , it give same result as 28 is added to.
To Find :
We need to find that number.
Solution :
Let, the number is x.
Mathematical equation of the given scenario is :
3x = x + 28
3x - x - 28 = 0
2x - 28 = 0
x = 14
Therefore, the which give such result is 14.
Answer:
Answer :>
Step-by-step explanation:
Given :
If a number is tripled , it give same result as 28 is added to.
To Find :
We need to find that number.
Solution :
Let, the number is x.
Mathematical equation of the given scenario is :
3x = x + 28
3x - x - 28 = 0
2x - 28 = 0
x = 14
Therefore, the which give such result is 14.
T-T thank you
Find the unit rate.
350 papers for $140
Answer:
2.5
Step-by-step explanation:
take the number of papers and divide it by cost to determine the number of papers/dollar
350/140
(kinda like a fraction, ima just simplify to make it easy to see the answer)
35/14
5/2
2 1/2
Hope This Helps
Answer:
2.5 is the answer
Step-by-step explanation:
50 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?
Answer:
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
Step-by-step explanation:
23/50 of Xander's friends prefer to stay home on Friday nights.
What percent of Xander's friends prefer to stay home on Friday nights?
% of Xander's friends that prefer to stay home on Friday nights
= 23/50 × 100
= 0.46 × 100
= 46%
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
What is the y-intercept of the graph?
Answer:
2
Step-by-step explanation:
The y-intercept is when the line intersects the y-axis. In this image, you can see that the line intersects at 2 on the y-axis.
Hope this helps! :)
Simplify the following square root:
240
O 1615
O The square root cannot be simplified.
0 4/15
Simplify the following expression by showing any work
Answer:
4[tex]x^{4}[/tex][tex]y^{4}[/tex]z
pls, help me 16 points :)
Answer:
I went through and graphed them all, and the graph for A matched perfectly :)
Step-by-step explanation:
X-3=x+13 solution or not
what is 4/5 ÷ 1/3 =____
what is the answer to 9x=y+8
Answer:
1
Step-by-step explanation:
Answer:
For X:
Divide each term by 9
and simplify.
x= y/9 + 8/9
For Y:
y= 9x−8
Help I’m very confused and was wondering if anyone is willing to help.
Answer:
57°
Step-by-step explanation:
LHS angle=RHS angle=57° (vert. opp angles)
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
A.13 miles
3 hours
B.3 hours
13 miles
c.3 miles
13 hours
D.13/3 miles
1 hour
Answer:
Not sure what is asking,but if it is asking for the equation. Then it is 13/3.
Step-by-step explanation:
AHHH PLEASE HELP! theres a pic
Answer:
A is Phosphourous, B is Oxygen
Step-by-step explanation:
The highest boiling point on the chart is 280 which belongs to Phosphouors, meaning that it has the highest boiling point. If you count it out, -183 you'd have to add 183 to get to 0, with 184 you would have to minus 184 to get to 0. So therefore oxygen's boiling point is closer to iodine.
pls help I really need this
Answer:
Rocks
Explanation:
I'm quite sure scientists have looked at rock mass to determine Earth's crusts.
Mr. Simmons buys a car for a total cost of $9,899. He can pay $206 a month but no more. He determines that he will make 49 payments. Explain why he is correct.
Enter the correct answers in the boxes.
[tex]\frac{x-c}{2} =d, for ( x)[/tex]
SHow your work!
2) Solve the system of equations:
y=6x
4x+y=7
Answer: x= 7/10
Y= 21/5
Step-by-step explanation:
Graham paid $87.45 for a pair of jeans. This amount included a tax of 40%. What was the cost of the jeans before tax?
The final price is the cost plus the tax.
Since we know the tax and a percent, we can write this as
T = C(1+r)
T = what Graham paid = $87.45
C = cost before tax
r = tax rate expressed as a decimal = .40
Plugging in what we know
87.45 = C (1+.4)
87.45 = C(1.4)
Divide both sides by 1.4
C = $62.46