Answer:
Step-by-step explanation:
Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:
and
Now for the slope of AB:
and
So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):
and filling in:
y - 3 = -3(x - 0) and
y - 3 = -3x + 0 and
y - 3 = -3x so
y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):
0 = -3x + 3 and
-3 = -3x so
x = 1
The coordinate on the x-axis such that AC = BC is (1, 0)
Please help me I need this doing for my maths hwk and I really don’t know
In triangle XYZ. the measurements of angle X and angle Y are 45° Which is the longest side of the triangle
Answer:
the side XY
Step-by-step explanation:
we know 2 angles in a triangle. but are 45 degrees.
that means the third angle Z is 180-45-45 = 90 degrees.
the side opposite of the largest angle is the longest side.
opposite of Z is the side XY.
The equation below has one solution. 9 x minus 10 = 3 x + 2 What is the solution to the equation? –2 –1 1 2
Answer:
x=2
Step-by-step explanation:
use r = 27 and x = 3
- r 9 _ + 5x
Answer:
-228
Step-by-step explanation:
area of trapezoid? i keep getting it wrong lol the shape is confusing to me please help
Answer:
Area= [tex]154m^{2}[/tex]
Step-by-step explanation:
A= [tex]\frac{a+b}{2} h=\frac{12+16}{2} (11)=154[/tex]
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
14
x
х
12
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, isosceles, equilateral, scalene and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90°. In a right angled triangle, the longest side is known as the hypotenuse and the side is opposite to the right angle.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given the question attached, using Pythagoras theorem:
18² = x² + 12²
324 = x² + 144
x² = 180
x = 13.42
Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55
Answer:
20 foot.....................
What is the value of the expression below
(-64)^2/3
Answer:
16
Step-by-step explanation:
[tex](-64)^2/3[/tex]
64 = [tex]2^{6}[/tex]
[tex]2^{6} ^{\frac{1}{3} } ^{2}[/tex]
[tex]2^{ 2^{2} }[/tex]
[tex]2^{4}[/tex]
16
1. What measure of variability is the simplest?
A. Mean Deviation
B. Range
C. Standard Deviation
D. Variance
Answer:
range
Step-by-step explanation:
1. make r the subject of the relation. 2. Find the value of r when s=117, m = 2 and n=-3. m=r-s ÷2nr
Answer:
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
Step-by-step explanation:
solution: m= r-s/2nr
i) m= r-s/2nr 2) m(2nr) = r-s (i) s=117 ,m=2, n=-3
2) 2xnxmxr= r-s 2) r= -s/(2nm-1)
3) move the "r" on the right to the 2) r= -117/(2x(-3)x2)-16
-2nrm-r= -s
- r(r-2nm-1)= -s 2) r= (-117/-13)=)r=g
- r= -s/(2nm-1)
Hence, the required answers are (i) r= -s/(2nm-1) and r=g.
A high school held an election for class president. Exactly 1,000 votes were cast and they were all for either Gillian or Clive. Gillian received 100 more votes than Clive. What percent of the 1,000 votes were for Gillian?
Answer: 60%
1000÷2=500
Clive: 500-100= 400
Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)
[tex] \frac{600}{1000} \times 100\% = 60\%[/tex]
If Gillian received 100 more votes than Clive, Gillian received 55% of the 1,000 votes.
To determine the percentage of votes for Gillian out of the total 1,000 votes, we need to calculate the proportion of votes that Gillian received.
Given that Gillian received 100 more votes than Clive, we can set up the equation:
Votes for Gillian = Votes for Clive + 100
Let's denote the number of votes for Clive as C. Therefore, the number of votes for Gillian is C + 100.
The total number of votes is 1,000, so we have the equation:
C + (C + 100) = 1,000
Simplifying, we find:
2C + 100 = 1,000
2C = 900
C = 450
Therefore, Clive received 450 votes and Gillian received 450 + 100 = 550 votes.
To calculate the percentage of votes for Gillian, we divide her votes by the total votes and multiply by 100:
(550 / 1,000) * 100 = 55%
To learn more about percentage click on,
https://brainly.com/question/13228217
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Find the length of x
Answer:
x = 3
Step-by-step explanation:
Hi there!
1) Prove similarity
The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.
2) Solve for x
Now, we can set up a proportion to solve for x:
[tex]\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3[/tex]
Therefore, x is 3 units long.
I hope this helps!
Which inequality defines the problem below?
Hosting a dinner party for 38 people, you plan to serve peach pie for dessert.
Each pie has 8 slices. How many pies must you buy to ensure each guest
gets 1 slice?
A. 38p> 8
B. 8p = 38
C. 8p 238
D. 38 > 8p
E. 8p< 38
SUBMIT
Answer: the answer is 8p>38
Step-by-step explanation:
just took test
If 1 pint is equal to 2 cups, then 5 pints would equal how many cups
If 1 pint is equal to 2 cups then 5 pints equals 10 cups
5 times 2 equals 10.
Write the expression as an exponent:
5^8 x 25
6^15 x 36
Answer:
a.) 5¹⁰
b.) 6¹⁷
Step-by-step explanation:
a.) 5⁸ × 25
Write 25 in the exponential form with the base of 5.
5⁸ × 5²To calculate product use exponent rule
5⁸+²5¹⁰b.) 6¹⁵ × 36
Similarly, 6¹⁵ × 36
Write 25 in the exponential form with the base of 6.
6¹⁵ × 6²To calculate product use exponent rule.
6¹⁵ + ²6¹⁷Answer:
[tex] \displaystyle {5}^{10} [/tex]
[tex] \displaystyle {6}^{17} [/tex]
Step-by-step explanation:
Question-1:we want to rewrite the following expression as an exponent
[tex] \displaystyle {5}^{8} \times {25}[/tex]
remember that 25 is the square of 5 therefore
[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]
recall that,
[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]
with that law we obtain:
[tex] \displaystyle {5}^{8 + 2} [/tex]
simplify addition:
[tex] \displaystyle {5}^{10} [/tex]
Question-2:likewise Question-1 36 is the square of 6 Thus,
[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]
similarly apply law of exponent:
[tex] \displaystyle {6}^{15 + 2} [/tex]
simplify addition:
[tex] \displaystyle {6}^{17} [/tex]
hence,
we have written the expression as an exponent
What is the solution
Answer:
x = -72
Step-by-step explanation:
-72 + 8 = -64
The third square root of -64 is -4
Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment.
Answer: random sampling
Step-by-step explanation:
Because psychologists generally use college students as research participants, the research does not involve random sampling.
Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.
can you please help me with number 4 please?
Solve for x. Round to the nearest tenth of a degree, if necessary
Step-by-step explanation:
here's the answer to your question
A baker's bread recipe calls for 3
cups of flour. She plans to make 2 loaves of
bread
If the baker's measuring scoop holds cup, how many scoops of
flour will she need in all?
If the radius of circle is 50cm then find its area?
Answer:
Area=7850 cm
Step-by-step explanation:
Since the formula for area is A=c(radius squared), we need to plug in the radius first. 50x50=2500. We can identify 'pi' as 3.14 and use that decimal instead of a longer one. The product of 2500 and 3.14 is 7850. Therefore, your answer is 7850 cm
will give brainliest, look at the picture. HURRY PLSS
Answer:
triangle s
that is my answer
Write an equation of the line in slope-intercept form
The slope intercept form of the line is ,
> y = mx + c
where ,
m is slope of the linec is y interceptExample :-
> y = 2x + 5
The line passes through (0,5) with a slope of 2 .Find the value of "x" of given parallelogram
Answer:
The answer is 1.5
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 7 = 5x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 5x = - 4 + 7 \\ \: 2x = 3\\x = \frac{3}{2} \\ x = 1.5[/tex]
i hope so..
URGENT HELP NOW PLEASE QUICKK!!!!
Answer:
(2,-2)
Step-by-step explanation:
Its just (-7+9 , 1-3)
Answer:
P' = (2,-2)
Step-by-step explanation:
P = (-7,1)
T(x,y) = (x + 9, y - 3)
(-7 + 9,1 - 3) = (2,-2)
A recipe for a soup calls for 2/4 cup of chopped onion and 1/5 cup of chopped
celery. What is the total amount of celery and onion needed for the soup?
Answer:
The total amount of celery and onion needed for the soup is 7/10 cup.
Step-by-step explanation:
2/4 + 1/5 = 7/10 cup.
hope it helped :)
mark me brainliest!
Change 18° into sexagesimal seconds.
Answer:
She's, "HOT"!
Step-by-step explanation:
if A={1,2,3} and B={a,b,c} find A×B and B×A. Also show both of them in arrow diagram. I need for exam
Answer:
the above answer help you guy.
which equation is represented by the table
Answer:
B. b = 3a + 2
Step-by-step explanation:
We can write the equation in slope-intercept form as b = ma + c, where,
m = slope/rate of change
c = y-intercept/initial value
✔️Find m using any two given pair of values, say (2, 8) and (4, 14):
Rate of change (m) = change in b/change in a
m = (14 - 8)/(4 - 2)
m = 6/2
m = 3
✔️Find c by substituting (a, b) = (2, 8) and m = 3 into b = ma + c. Thus:
8 = 3(2) + c
8 = 6 + c
8 - 6 = c
2 = c
c = 2
✔️Write the equation by substituting m = 3 and c = 2 into b = ma + c. Thus:
b = 3a + 2
To the nearest square metre, calculate the curved surface area of the half pipe if it is 9m long? (With a radius of 2.5m)
Answer:
70.686 [tex]m^{2}[/tex]
Step-by-step explanation:
A=2πrh (area of cylinder without top or bottom)
A = 2[tex]\pi[/tex](2.5)(9)
A = 141.372
divide by two for half of pipe.
A = 70.686