The relationship between sides DY, PY and DP is that they form a right-angled triangle.
The value of side length DY is 8 units
Side length DY can be calculated using the following Pythagoras theorem.
So, we have:
[tex]DP^2 =DY^2 + PY^2[/tex]
Substitute values for DP, DY and PY
[tex]10^2 =DY^2 + 6^2[/tex]
Evaluate the squares
[tex]100 =DY^2 + 36[/tex]
Subtract 36 from both sides
[tex]64 =DY^2[/tex]
Take square roots of both sides
[tex]8 =DY[/tex]
Rewrite as:
[tex]DY = 8[/tex]
Hence, the value of side length DY is 8 units
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Which expression is equivalent to 7x + 5x?
a. 12x
b.12x^2
c. 35x
d. 35x^2
Answer:
12x
Step-by-step explanation:
pls help me
do maths
Find the perimeter of ABC with vertices A(0,-4), B(4,-4), and C(0,-1).
A. 7 units
B. 14 units
C. 12 units
D. 32 units
Answer:
C .12 units I think so if wrong I am sorry
On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?
The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}
Answer:
Step-by-step explanation:
Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.
The domain is all real numbers. The range is {y | y ≤ 16}
How to determine the domain and the range?The attached graph completes the question
Calculating the domain
The function is given as:
f(x) = -x² - 2x - 15
The above function is a parabola or a quadratic function.
Quadratic functions have their domain to be the set of all real numbers.
Hence, the domain is all real numbers.
Calculating the range
On the graph, we have the maximum value of y to be:
Maximum = 16
Because the parabola opens down, the range would be:
y ≤ 16
Hence, the range is {y | y ≤ 16}
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Sara is going to home depot to buy some plants for her back yard. The price of 4 rose bushes is $12 and the price of 5 tulips is $20. Sara ends up buying $80 worth of roses and tulip plants. Which equation represents the relationship between the number of rose bushes, x, and the number of tulip plants, y, that Sara bought at home depot?
Answer:
3r + 4t = 80
Step-by-step explanation:
Roses cost $3 each, tulips cost $4 each
PLEASE HELP. I NEEED THIS BY TOMORROW
Maddie baked 7 brownies. 4 of the brownies had nuts on top. What is the ratio of the number of brownies without nuts to the total number of brownies?
4% percent of a number is what fraction of that number?
Answer:
1/25
Step-by-step explanation:
Convert to a fraction by placing the expression over 100 .
Answer : 4/100 and / or 1/25
Step-by-step explanation:
when converting percentages to fractions its always out of 100
for example, if the percentage is 4% then its 4/100
pls answer don’t scam
Answer:
y=x
step by step:
graph equation is y=mx+c
y intercept (c) is 0
gradient (m) is 1
gradient is represented as (m), so the equation is just y=1x, simplified-> y=x
Answer:
money = 2×tickets
Step-by-step explanation:
For 1 ticket sold, $2 is collected. for 8 tickets sold, $16 is collected. The relationship appears to be proportional with a constant of proportionality of $2 per ticket.
The axes are labeled "money" and "tickets", so we can write the equation ...
money = 2×tickets . . . . . where money is in dollars
__
If you like, you can use y to represent dollars collected, and x to represent tickets sold. Then the equation is ...
y = 2x
What number is needed to complete the square?
x^2 + 3x + ?
The number needed to complete the square is 9/4
Given the expression x^2 + 3x + ?
Using the completing the square;
Step 2: Get the coefficient of x
The coefficient of x is 3
Step 3: Get the half of coefficient of x
Hale of the coefficient = 3/2
Step 4: Take the square of the result
Square of the result = ()3/2)^2 = 9/4
Hence the number needed to complete the square is 9/4
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Write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4)
Answer:
y= 0x+4
Step-by-step explanation:
This is a horizontal line, since both coordinate pairs end in 4, so the slope is 0. The y-intercept is 4 because each point is 4.
can some pls help me ☹?
Answer:
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Step-by-step explanation:
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PLEASE HELP I NEED ANSWERS!!
Step-by-step explanation:
2. Commutative Property of Multiplication
3. Associative Property of Multiplication
4/5/6 Distrubtitive Property.
What is the area of the following circle? Use 3.14 for pi and enter your
answer as a decimal.
p=7
units2
What percent of the model is shaded green?
(answer quick please)
Answer:
30%
Step-by-step explanation:
3 rows out of 10 are shaded green. 3/10 is 30%
Explanation:
Ignore the horizontal lines. Think of this figure as 10 skinny rectangles line up side by side. Three of them are shaded, so we have 3/10 = 0.30 = 30% of it shaded.
If you wanted to include the horizontal lines, then we have 10*3 = 30 green little squares out of 10*10 = 100 total squares. This leads to the same answer 30/100 = 0.30 = 30%
What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form
Step-by-step explanation:
Slope-intercept form: y = mx + b
Step 1: Find the slope.Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]
[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]
To solve for the fractions you need a common denominator.
[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]
[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]
To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).
[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]
Step 2: Plug slope and a point into y=mx+b to solve for b.[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b
[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b
[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b
[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]
b = .75
y = [tex]\frac{1}{2}+.75[/tex]
A football is kicked into the air. Its height above the ground is approximated by the equation h=20t-5[tex]t^{2}[/tex], where h is the height in meters and t is the time in seconds since the football was kicked.
a)what are the zeros of the relation? when does the football hit the ground?
Answer:
Zeroes - x=0 and x=4
Football hits the ground at x=4 (4 seconds)
Step-by-step explanation:
1) Plug equation in graphing calculator and graph function.
2) Find zeroes
3) The second zero is when the football hits the ground
6. You have inherited a piece of land in the shape of a quadrilateral. It has the given measurements as shown. Find the length needed for a fence to be constructed from point A to point D. Find the angle mearurements of ÐA and ÐL. Also, find the area of the quadrilateral.
Answer:
Add up all the sides of the quadrilateral and the answer is the perimeter
Step-by-step explanation:
Solve for x
-1/5x -25 = -9
Answer:
-80
Step-by-step explanation:
you pass the 25 to the right side adding and the the 1/5 multiplying by -5 to the right side
i don't understand how to do this someone help me math!!
Answer:
-8
Step-by-step explanation:
ky^2 = -5y + 7y^2 +9y - 15y^2 -4y
ky^2 = -8 y^2
k = -8
Answer:
8
Step-by-step explanation:
We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.
We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.
[tex]-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0[/tex]
In order for this to be zero for all values of y, we must have (-a+8) = 0.
a = 8
The missing coefficient is 8.
_____
Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.
-a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0
-a -[-5-(-16)] -[-19] = 0
-a -11 +19 = 0
-a +8 = 0
a = 8 . . . . . . same as above
_____
Additional comment
The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.
We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.
Mattie Evans drove 160 miles in the same amount of time that it took a turbo propeller plane to travel 920 miles. The speed of the plane was 190 mph faster than the speed of the car. Find the speed of the plane.
Answer:
Step-by-step explanation:
The speed of the plane was 291.13mph.
What is speed?Speed is distance travelled per unit time. It is scalar quantity
Given
The difference in distances was 600 miles; the difference in speeds was 190mph. That means the time was 600/190 = 3.16 hours.
Since the plane flew 920 miles in that time, its speed was 920/3.16 = 291.13mph.
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0 6. What is the constant of proportionality for the set of data in the table? 10 8 2 Hours 70 56 42 14 Miles 48
Answer:
k = 7
Step-by-step explanation:
The constant of proportionality k is calculated as
k = [tex]\frac{miles}{hours}[/tex]
Using the values from the table , then
k = [tex]\frac{14}{2}[/tex] = [tex]\frac{42}{6}[/tex] = [tex]\frac{56}{8}[/tex] = [tex]\frac{70}{10}[/tex] = 7
50 POINTS PLEASE HELP FILL IN BLANKS!!!!
An ______ is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. ______ are groups of points that are all graphed close together. A ____ occurs when there are points clustered at two different spots on a scatter plot.
Answer:
Outlier, clusters, and gap in your value.
Step-by-step explanation:
An OUTLIER is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. DATA CLUSTERS are groups of points that are all graphed close together. A GAP IN VALUE occurs when there are points clustered at two different spots on a scatter plot.
217.8 as mixed number
Answer:
27 1/8
Step-by-step explanation:
217/8= 27.125 = 27
217 - (8 x 27) = 1
We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
27 1/8
Simplifying our fraction
In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.
1/1 = 1
8/1 = 8
When we put that together, we can see that our complete answer is:
27 1/8
Answer:
217 4/5
Step-by-step explanation:
Rewrite 1/6 book over 2/3 hour as a unit rate
HELPPP please make it quickk D:
Answer:
0.25 book/hour
Step-by-step explanation:
(1/6)/(2/3)=x/1
*Simplify the equation
1/4=x
*Rearrange the equation
x=1/4
x=0.25 book/hour
f(x) = -3x +4 when x = -5 show every step
Answer:
f(-5) = 19
Step-by-step explanation:
f(x) = -3x + 4
f(-5) = -3(-5) + 4
f(-5) = 15 + 4
f(-5) = 19
Answer: The answer is 19
Step-by-step explanation: We know that the X value is -5 so we substitute that in for -3x to get (-3 x -5) We end up geting 15, next we add 4 and get 19. Basically the answer is 19. Have a great day.
Forgot to add the F(-5) sorry.
plss help me with this:(((
Answer:
11) 7 ( Answer A)
12) (-2) ( Answer D)
Step-by-step explanation:
You can use y = m x + c to answer these questions.
In the equation y = m x + c,
m = slope
c = y - intercept
According to the question,
they have given the equation,
y = 7 x - 2
So, you can replace it with y = m x + c like this.
y = 7 x - 2
↑ ↑
m c
There fore,
slope = 7
y - intercept = ( - 2)
And now let's write the answers for the question.
11) 7 ( Answer A)
12) (-2) ( Answer D)
Hope this helps you :-)
Find an ordered pair (x, y) that is a solution to the equation 3x-y=4
Answer:
(0,-4)
Step-by-step explanation:
3(0) - (-4) = 4
0 + 4 = 4
A. A cylindrical barrel has diameter 14 m and height 9 m. Find the cost of painting the inner side of the barrel at 132 per m? (Take = 3.14.)
Answer:
Here is your Answer
Step-by-step explanation:
DIAMETER = 14 M
RADIUS = DIAMETER ×0.5
RADIUS = 14÷0.5 = 7
HEIGHT = 9M
AREA OF CYLINDER = 2pi*R* H
AREA = (2× 3.14×7×9) M^2
AREA =395.64 M^2
COST FOR AREA M^2 = ₹ 32
COST FOR AREA 395.64 =₹(395.64×32)
SO, ANSWERS= ₹ 12660.48
Plz Mark Me As Brainiest
Answer:
$ 12660.5
Step-by-step explanation:
We know that
Radius = Diameter/2
Radius = 14/2 = 7 m
Now,
CSA of cylinder = 2πrh
=> 2 × 3.14 × 7 × 9
=> 395.6 m²
Now,
Cost = 395.6 × 132
=> $ 12660.5
Can someone help me. I’ve tried doing this on paper. I don’t know what I’m doing wrong
[tex]{ \huge \mathfrak \color {pink}{ \tt{answer}}}[/tex]
[tex] \large \color{cyan}{ \tt{x = 12}}[/tex]
Step-by-step explanation:
[tex] \color {cyan}{ \tt{9 + \frac{x}{6 = 11}}} [/tex]
multiply both sides of the equation by 6[tex]{ \tt{54 + x = 66}}[/tex]
move the constant to the right hand side and change its sign[tex]{ \tt{x = 66 - 54}}[/tex]
substract the numbers[tex] \huge \color{magenta}{ \tt{ = \: \: x = 12}}[/tex]
[tex] \large \color{brown}{ \tt{hope \: \: it \: \: helps}}[/tex]