Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."Solve each equation for x. Provide the Justifications for each step.
6-2x=10
Rectangle A has side lengths of 6 cm, and 3.5 cm. The side lengths of
rectangle B are proportional to the side lengths of rectangle A. What could
be the side lengths of rectangle B? *
5 cm and 2.5 cm
3 cm and 1.75 cm
12 cm and 5 cm
Answer:
3 cm and 1.75 cm
Step-by-step explanation:
the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50
Show all work to factor x^4 − 17x^2 + 16 completely.
Please explain how you got your answer and show the steps. I completely forgot how to do it over winter break.
Answer:
it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help
What is 700,000+9,000+60+7 in Standard form
Answer:
709,067
Step-by-step explanation:
add them together from greatest to least
Simplify the following by combining like terms:
1y - 8xy + 7x - 5y + 4xy + 9x
Answer:
-4y-4xy+16x
Step-by-step explanation:
Hope this helps!! If you need it step by step I'll comment it in the comments.
whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?
Answer:
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Step-by-step explanation:
Given points are:
(-5,3) and (3,7)
The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.
First of all we have to find the slope and mid-point of given line
Here
(x1,y1) = (-5,3)
(x2,y2) = (3,7)
The slope will be:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]
The mid-point will be:
[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]
Let m1 be the slope of the perpendicular bisector
Then using, "Product of slopes of perpendicular lines is -1"
[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]
We have to find the equation of a line with slope -2 and passing through (-1,5)
The slope-intercept form is given by:
[tex]y = mx+b\\y = -2x+b[/tex]
Putting the point (-1,5) in the equation
[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]
The final equation is:
[tex]y = -2x+3[/tex]
Hence,
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
For a school fund-raiser, 10 students sold a total of 90 boxes of cookies. Which of the following can be calculated from this information?
Answer: what of the following
Step-by-step explanation:
Answer:
is it multiple choice
Step-by-step explanation:
In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?
The required measure of the hypotenuse length is √544. Option D is correct.
In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)² = 544
hypotenuse = √544
Thus, the required measure of the hypotenuse length is √544. Option D is correct.
Learn more about Pythagorean triplets here:
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a bed of a pickup truck measures 4 ft by 8 ft to the nearest inch what is the length of the longest thin metal bar that will lie flat in the bed
Answer:
11 ft 3 in
Step-by-step explanation:
The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.
Answer:
Step-by-step explanation:
the diagonal is the longest so use Pythagoras
c^2 =a^2 + b^2
c^2=4^2+8^2
c^2=16+64
c =[tex]\sqrt{80}[/tex]
c = 8.944 ft
Please answer quick 20 points and if answer is right I will give Brainly
Answer:
216*64/8=1728....
Step-by-step explanation:
12³ is the appropriate answer
which of the following is a solution to the linear function y = 4/5x+7
The weight of a mandarin orange is about 6 ounces. A basket that weighs 4 ounces will hold m mandarin oranges, the total weight is 70 ounces. Which equation represents the basket of oranges?
4 + 6m = 70
6 + 4m = 70
70 + 4m = 6
70 + 6m = 4
.
Answer:
4 + 6m = 70
Step-by-step explanation:
4 is the basket
6m is the total weight of mandarins
70 is total weight
Answer
A is the answer
compare and contrast rates and ratios
Answer:
A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.
Step-by-step explanation:
For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.
Evaluate \dfrac p4 +pq
4
p+pqstart fraction, p, divided by, 4, end fraction, plus, p, q when p=8p=8p, equals, 8 and q=6q=6q, equals, 6.
Answer:
4
Step-by-step explanation:
Answer:
its 50
Step-by-step explanation:
could someone please help me with this
Answer:
E is the correct choice
Step-by-step explanation:
i hope this helps
I'm also struggling this problem too
Answer:
21 6
7 2
14 4
Step-by-step explanation:
not sure |•-•|
hereeee lol& thanks again<3!
Answer:
-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)
-1 is the y-intercept. This is where the line hits the y-axis
start by plotting the y-intercept (0,-1)
then move down one unit, and right two units, and plot another point.
this is the line y=-1/2x-1
Step-by-step explanation:
Step-by-step explanation:
hope it helps
............
Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?
at what rate, how long will it take to go 4.5 miles
Step-by-step explanation:
they need a car to drive duhhhhh
Answer:
0.36 hours
Step-by-step explanation:
Divide 4.5 with 12.5 mph.
Here is a base-ten diagram that represents 1.13.
Use the diagram to find 1.13\:-0.461.13−0.461.13 − 0.46.
Answer: 0.67
Step-by-step explanation:
pls help will give brainiest
Find the length of A.
Answer:
5
Step-by-step explanation:
13^2=169
12^2=144
169-144=25
Root 25 is 5
There are 21 boys and 7 girls in your gym class. Your teacher selects 2 students at random to be team leaders for a game. What is the probability that both students are girls?
A: 17/36 c: 1/2
b: 1/16 d:1 /18
Answer:
either b or d
Step-by-step explanation:
If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle
Answer:
192cm²
Step-by-step explanation:
The diagonal of the rectangle is expressed using the formula:
d = √l²+w²
l is the length
w is the width
Given d = 20
20 = √l²+w²
400 = l²+w² .... 1
Since the difference between the length and the width is 4cm, then;
l - w = 4 ... 2
l = 4 + w
Substitute equation 2 into 1;
400 = (4+w)²+w²
400 = 16 +8w + w² +w²
400 = 16 + 8w + 2w²
2w²+8w - 384 = 0
w²+4w - 192 = 0
w = -4±√4²-4(-192)/2
w = -4±√16+768/2
w = -4±28/2
w = -4+28/2
w = 24/2
w = 12
Since l = w+4
l = 12+4
l = 16
Area of the rectangle = 16 * 12
Area of the rectangle = 192cm²
Answer:
rytytyf
Step-by-step explanation:
yiyiuyiuy
Question 1
Review
Listen
Perry invested in property that cost him $1500. Five years later it was worth $3000, and 10
years from his original purchase, it was worth $6000. Assuming the growth rate remains the
same, which type of function could he create to find the value of his investment 30 years from
his original purchase?
1.
exponential function
2.
linear function
3.
quadratic function
4.
trigonometric function
Submit Answer
Answer:
Exponential
Step-by-step explanation:
What is a real solution and examples of real solutions
Answer:
A real solution in algebra is simply a solution to an equation that is a real number.
for example
If y>0, then x2 = y has two real solution or roots. x = ±√y
If y=0, then x2 = y has one real solution.
Solve the following quadratic equation by factorising first x^2 + 5x - 14 =0
Answer:
Step-by-step explanation:
Here you go mate
step 1
x^2+5x-14=0 equation/Question
step 2
x^2+5x-14=0 factor by setting them equal to zero
(x-2)(x+7)=0
answer
x=2 or x=-7
Indicate whether the measures 3.1, 4.8, and 10.2 can be the side lengths of a triangle. If they can, classify the triangle.
The measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
What is triangle inequality?"It states that the sum of any two sides must be greater than the third side."
For given question,
we have been given the measures 3.1, 4.8, and 10.2
We need to check whether given measures can be the side lengths of a triangle.
First we check whether the given measures obey triangle inequality or not.
3.1 + 4.8 = 7.9
7.9 < 10.2
This means, the measures 3.1, 4.8, and 10.2 do not obey triangle inequality
Therefore, the measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
Learn more about the triangle inequality here:
https://brainly.com/question/1163433
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Use the figure to solve for the missing angles
m<1:51, m<2:39, m<3:90
Anyone know ????? thank you
Answer:
2/3
Step-by-step explanation:
6 = m/8 Solve the equation.
[tex]6=\frac{m}{8}\\x=48[/tex]