Answer:
A) (-1,3) and (4,3)
B) (-1,-7) and (4,-7)
C) (1.5, .5) and (1.5, -4.5)
Step-by-step explanation:
For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.
4-(-1)=4+1=5
The length of the side of the square is 5.
1. For the first set of points, the square is above the two given points so just add 5 to the y-values
-2+5=3
This gives you the points:
(-1,3) and (4,3)
2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.
-2-5=-7
This give you the points:
(-1,-7) and (4,-7)
3. The third answer is when the two given points are on opposite corners
of the square.
Here the diagonal is equal to 5 since they are on opposite corners of the square.
The diagonal of a square can be found with the pythagorean theorem
Since we have the diagonal we can find the side lengths we need.
[tex]2s^2=25[/tex]
s=[tex]\sqrt{\frac{25}{2} }[/tex]
s=3.5355
We want the new vertices to be in the middle of the other vertices x-coordinates
[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]
The new vertices will be 2.5 units away from the other vertices
-1+2.5=1.5
The new vertices will be at x=1.5
Now we need the pythagorean theorem again to find the y-values
[tex](2.5)^2+h^2=(3.5355)^2[/tex]
[tex]6.25+h^2=\frac{25}{2}[/tex]
[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]
h=2.5
The new vertices will be:
(1.5, -2+2.5)=(1., .5)
(1.5, -2-2.5)=(1.5, -4.5)
Draw a line PQ. Take any point outside it and construct a line parallel to the given line through this point
Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.
The volume of one serving of fruit punch
is 3.5 fluid Ounces. How many servings
are there in 29.75 fluid Ounces of
fruit punch?
A. 8.25 Servings
B. 8.5 Servings
C. 9.25 Servings
D. 9.5 Servings
Make x the subject of the formula x + t = q
Answer:
x = t - q
Step-by-step explanation:
because to make q, you need to add x and t
so to make x the subject, you should subtract q
Example
x + t = q
t = 7
q = 36
x = t - q
36 -7 = 29
x = 29
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answer:
34
Step-by-step explanation:
634 - 600 = 34
Who knows what is 2 x 5 ?
V^2=u^2 + 2as rearrange to s subject
[tex]v^2 = u^2 + 2as \\\\\implies 2as = v^2 -u^2 \\\\\implies s = \dfrac{v^2 - u^2}{2a}[/tex]
PLEASE HELPP!! What is the slope and Y intercept of this equation?
Answer:
The slope is 10
The y - intercept is 20
Step-by-step explanation:
The equations are written as:
y = ?x + ?
The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10
The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept
Will give brainliest
Proof (7 points)
2. Given BC Il DE. Prove triangle ADE - Triangle ABC.
STATEMENTS
REASONS
Ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. At this rate, how many miles can he drive on 1 gallon of gas?
Any help is appreciated!
Answer:
22
Step-by-step explanation:
HELP ME PLEASE AAAAAAAAAAA
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.
Write the slope-intercept form of the equation
Answer:
y= [tex]\frac{1}{3}[/tex]x-1
Step-by-step explanation:
Slope intercept form= y=mx+b
m=slope
b=y-intercept
b=-1
m= [tex]\frac{1}{3}[/tex]
y= [tex]\frac{1}{3}[/tex]x-1
Someone plz help me I’m begging
Answer:
answer is D
pls I don't confirm sorry
what would 2 x (x-3) sum be
Answer:
2x-6 I think
Step-by-step explanation:
Urgent…. I need help
You don’t gotta explain
I will mark brainiest asp
Which one is a function?
A.
Step-by-step explanation:
To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.
Use the Distributive Property to solve the equation.
3(x−6)+8=5x−2
Answer:
x = -4
Step-by-step explanation:
2x=-2+10
-2=8
x=-4
Answer:
3x-18+8=5x-2
3x-10=5x-2
3x-5x=-2+10
-2x=8
X=-4
Step-by-step explanation:
Have a great day
what is (−
2
1
)
5
Step-by-step explanation:
i don't understand your question
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
Answer:
-146
Step-by-step explanation:
so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows
9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146
the 32nd term would be -146
In a population of 128 people, 45 have curly hair, 66 have straight hair, and 17 have no hair. What is the probability of randomly choosing someone with curly hair or no hair?
Since it was 7 years ago, Mr. Ly's age was 28 years old.
Can someone please tell me what is his age at present (In now)?
Answer:
28+7=35. 35 is your answer.
Answer:
35
Step-by-step explanation:
35 because 7+28 is 35 7
28
How to write in Simplified slope intercept form
Answer:
y = -5/3x + 8
Step-by-step explanation:
So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.
How do you solve for x?
2(x - 3)^2 - 32 = 0
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]x = - 1 \\ x = \: 7[/tex]
Step-by-step explanation:
[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]
divide both sides[tex](x - 3 {)}^{2} - 16 = 0[/tex]
use a²- b² =(a - b ) (a + b) to factor the expression[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]
calculate the difference and the sum[tex](x - 7) \times (x + 1) = 0[/tex]
when the product of factors equals 0 ,at least one factor is 0[tex]x - 7 = 0 \\ x + 1 = 0[/tex]
solve the equation for x[tex]x = 7 \\ x + 1 = 0[/tex]
the equation has 2 solutions[tex]x = - 1 \\ x = 7[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.
Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
The equation that is used to represent (s) the total sales is s = (w - rh)/c
An equations is used to show the relationship between two or more variables.
Given the equation:
cs + rh = w
To solve for s, we have to make s the subject of the equation:
cs + rh = w
subtract rh from both sides:
cs + rh - rh = w - rh
cs = w - rh
Divide both sides by c:
cs/c = (w - rh)/c
s = (w - rh)/c
The equation that is used to represent (s) the total sales is s = (w - rh)/c
Find out more at: https://brainly.com/question/24169758
JoJo Seaweed walks at a constant rate of 8 ft in 2 s. The table shows the relationship of feet to seconds. What is the constant of proportionality for the relationship of feet to minutes? Record your answer on the grid. Then fill in the bubbles
Answer:
240 ft/min
Step-by-step explanation:
the answer is abffj uynjy uymn mhk um
Find the area of the polygon below. ( and please show work)
Answer:
89.6875
Step-by-step explanation:
you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)
answer this questtion
Answer:
69 degrees
Step-by-step explanation:
Answer:
21gb
Step-by-step explanation:
did the test
When a child is more than two standard deviations underweight for his or her age, the child is suffering from a condition called _____.
Write a rule to describe each transformation.
- A
- B
- C
- D
Answer:
A, a dilation of 2
Step-by-step explanation:
The answer is, A dilation of 2 because the image is getting dilated to a bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.
(Pre-image is a shape before a transformation, image is after a ransformation.)
Have a great day friend! :D
Somebody, please help me with this MATH question.