14, 21
Step-by-step explanation:
Let the two consecutive multiples be 7n and 7(n+1).
Now, it is given that:
(7n)² + [7(n+1)]² = 637
Simplifying,
49n² + (7n+7)² = 637
49n² + 49n² + 2(7n)(7) + 49 = 637
(as (x+y)² = x² + y² + 2xy)
98n² + 98n + 49 = 637
98n² + 98n - 588 = 0
Dividing by 98 to further simplify,
n² + n - 6 = 0
Factorising, we get
n² + 3n - 2n - 6 = 0
n(n+3) - 2(n+3) = 0
(n+3)(n-2) = 0
Therefore we get n = -3 or n = +2.
Hence, we get the consecutive multiples as 14 and 21.
Feel free to ask if you didn't understand any part.
Hope this helps! :D
Write 9 19/20
as a decimal.
Answer:
9.95
Step-by-step explanation:
Answer:
9 19/20 = 9.95
Step-by-step explanation:
Write a word equation for 24 = 3x
Please help I will give brainiest !!!!!?!!!!!!
The exact circumference of a circle is 30. What is the diameter?
60
15
30
45
Answer:
9.549296
Step-by-step explanation:
30/pi = 9.549296 for diameter
378x378x378x378x378x378x378x378x378
Answer:
378x³⁰²
Step-by-step explanation:
378x378x378x378x378x378x378x378x378
=378*x^378*x^378*x^378*x^378*x^378*x^378*x^378*x^378
=378*x3024
=378x³⁰²
Hope this helps
HELPP PLEASEEE
John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?
Name and locate points in all four quadrants of the coordinate plane.
If p(x)=2x,which of the following is the graph of h(x)=p(x)-6
Answer:
the graph is the one with h(x)=2x-6
Step-by-step explanation:
it will hit the y-axis at (0,-6) and it will hit the x-axis at (3,0)
The graph of h(x)=p(x)-6 is shown below.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
We are given that;
p(x)=2x
Now,
To find the graph of h(x) = p(x) - 6, we need to use the concept of transformations of functions. A transformation is a change in the position, shape, or size of a function’s graph.
To graph h(x), we can start by graphing p(x) = 2x and then shifting it down by 6 units. The graph of p(x) is a straight line that passes through the origin and has a slope of 2. To shift it down by 6 units, we can subtract 6 from the y-coordinate of every point on the line. For example, the point (1, 2) on p(x) becomes (1, -4) on h(x).
The graph of h(x) is also a straight line that has the same slope as p(x), but has a y-intercept of -6. The equation of h(x) is y = 2x - 6.
Therefore, the graph of the function will be shown below.
Learn more about points lying on graph of a function here:
brainly.com/question/1979522
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What equation is equivalent to 11 = (15 -6r) + 2r?
Answer:
11 = (15 -6r) + 2r
11= 15-6r+2r
11=15-4r
4=4r
r=1
7th grade math , not sure if I set this up correctly!
Answer:
What you did is correct!
Trudy bought 1 foot of fabric. If she cuts the fabric into 3-inch pieces, how many pieces will she have?
Answer:
Trudy will have 4 pieces of the fabric.
Step-by-step explanation:
Since, 1 foot of the fabric = 12 inches
If Trudy cuts the fabric into pieces of 3 inch.
Number of pieces she will have = [tex]\frac{\text{Total length of the fabric}}{\text{Length of one piece}}[/tex]
= [tex]\frac{12}{3}[/tex]
= 4 pieces
Therefore, she will have 4 pieces of the fabric.
What's the value of
[tex] = > 12 \times 5 + 45 - 36[/tex]
Answer:
12×5+45-36=60+9=69 is your answer
Answer:
12×5=60+45=105-36=69
3. Graph the function.
xy + 25 = 0
Answer:
look at the answer below
Step-by-step explanation:
this is xy + 25 = 0 if you wanted it. hope it helps
Answer:
(Rational Functions Practice)
3. Graph the function. (1 point)
xy+25=0
Step-by-step explanation:
Graph B. is the correct answer
Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,) and (3,0) and minimize it.]
Question:
Find the point (,) on the curve [tex]y = \sqrt x[/tex] that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:
[tex](x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})[/tex]
Step-by-step explanation:
[tex]y = \sqrt x[/tex] can be represented as: [tex](x,y)[/tex]
Substitute [tex]\sqrt x[/tex] for [tex]y[/tex]
[tex](x,y) = (x,\sqrt x)[/tex]
So, next:
Calculate the distance between [tex](x,\sqrt x)[/tex] and [tex](3,0)[/tex]
Distance is calculated as:
[tex]d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]
So:
[tex]d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}[/tex]
[tex]d = \sqrt{(x-3)^2 + (\sqrt x)^2}[/tex]
Evaluate all exponents
[tex]d = \sqrt{x^2 - 6x +9 + x}[/tex]
Rewrite as:
[tex]d = \sqrt{x^2 + x- 6x +9 }[/tex]
[tex]d = \sqrt{x^2 - 5x +9 }[/tex]
Differentiate using chain rule:
Let
[tex]u = x^2 - 5x +9[/tex]
[tex]\frac{du}{dx} = 2x - 5[/tex]
So:
[tex]d = \sqrt u[/tex]
[tex]d = u^\frac{1}{2}[/tex]
[tex]\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}[/tex]
Chain Rule:
[tex]d' = \frac{du}{dx} * \frac{dd}{du}[/tex]
[tex]d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}[/tex]
[tex]d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}[/tex]
[tex]d' = \frac{2x - 5}{2\sqrt u}[/tex]
Substitute: [tex]u = x^2 - 5x +9[/tex]
[tex]d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}[/tex]
Next, is to minimize (by equating d' to 0)
[tex]\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0[/tex]
Cross Multiply
[tex]2x - 5 = 0[/tex]
Solve for x
[tex]2x =5[/tex]
[tex]x = \frac{5}{2}[/tex]
Substitute [tex]x = \frac{5}{2}[/tex] in [tex]y = \sqrt x[/tex]
[tex]y = \sqrt{\frac{5}{2}}[/tex]
Split
[tex]y = \frac{\sqrt 5}{\sqrt 2}[/tex]
Rationalize
[tex]y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]y = \frac{\sqrt {10}}{\sqrt 4}[/tex]
[tex]y = \frac{\sqrt {10}}{2}[/tex]
Hence:
[tex](x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})[/tex]
Jane made a door frame for the house but does not have a tool to measure the angles. How can she check that the corner is 90 degrees?
Answer:
She can use any square object around her. Since squares are made up of right angles, any side she chooses can be used to compare the angle of the door. If the square corner fits perfectly, the angle is 90. If the square fits with space, obtuse. If the square doesn’t fit, acute
Step-by-step explanation:
The number 720 can be expressed as
24 x 36 x 5. Work out the values of a and b.
Answer:
24×36×5=4,320
4,320÷6=720
Answer:
I don't understand your question.
pls try itt brainliiestttt
Answer:
$25,377.11 or
$25,759.92
Step-by-step explanation:
hope that helps
help due really soon
Answer:
B.) y - 6 = -8/5(x + 2)
Step-by-step explanation:
Remember in order to find the slope intercept form on 2 points, you need these equations: [tex]\frac{x_2 -x_1}{y_2 -y_1}[/tex] and [tex]y-y_1=m(x-x_1)[/tex]
To find the slope, you will need to use the first equation. In this case the equation will look like this: [tex]\frac{(-2)-6}{3-(-2)}=-\frac{8}{5}[/tex]
Then use the second equation, plug in the numbers, and you will get B as your answer
5. Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2x + 6
O y = 3/2x + 5/2
O y = 3/2x + 4/3
O y = -2/3x + 5/2
O y = -2/3x + 4/3
Answer:
D. y = -2/3 x + 4/3
Step-by-step explanation:
When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.
To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b
y = -2/3x + b
2 = -2/3(-1) + b
2 = 2/3 + b
4/3 = b
So the equation is y = -2/3 x + 4/3.
Can someone help me with this question I will mark u brainlist.
Answer:
First one true, second false, third true
Step-by-step explanation:
A local city collects 8% sales tax. If the total purchase was $216.09,then how much was collected for sales tax?
Answer:
$17.29
Step-by-step explanation:
8% = 0.08
216.09(0.08) = 17.29
What are the zeros of the quadratic function shown in the graph?
a) –2 and –10
b) –2 and 10
c) 6
d) 2 and 10
Answer:
D
Step-by-step explanation:
Look at where the graph intercepts on the x-axis
If u can't see it's 2 and 10
Answer:
the answer is D
Step-by-step explanation:The answer is 2 and 10 because its directly on the line.
Hope I helped
Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman
Answer:
Step-by-step explanation:
Through is upholstering a rectangular ottoman that measures 21 cm x 18 cm x 15 cm. What will be the total square centimeters of fabric that Sue must use to cover all faces of the Ottoman
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1) b - correct statement: The interquartile range of the number of volunteers is 16
2) c - correct statement: About 50% of the students have between a 75 and a 90
Step-by-step explanation:
1B --> 66 - 50
2C --> About 50% of the students have between a 75 and a 90
What is the solution for the inequality –2x + 7 ≥ –11?
Answer: 2
2x-7=11 X=9 set up the up the negative portion of solutions Set up the negative portion of the 2x - 7= - 11 x= -2 and then x = 9,-2
Step-by-step explanation:
Answer:
Step-by-step explanation:
-2x+7≥-11
-2x≥-18
2x≤18
x≤9
Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left
Answer:
1 1/2 feet
Step-by-step explanation:
Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left
This is calculated as:
5 1/2 feet - ( 2 3/4 feet + 1 1/4 feet)
Lowest Common Denominator 4
5 1/2 feet - (2 + 1 ( 3 + 1/4)
5 1/2 feet - 3 + 1
5 1/2 feet - 4 feet
= 1 1/2 feet of wood left
A rhombus has an angle measure of 120, and it’s longer diagonal has a length of 10 inches. What is the area?
Answer:
1200INCHES²
Step-by-step explanation:
the formula for the area of rectangle and rhombus is same so l*b will work....120*10=1200
1. Find the equation of a line, in Slope Intercept Form, that has a slope of 2 and
passes through the point (-3, 1).
Answer: y = 4
Step-by-step explanation:
Point a has coordinated (-6,1). it is translated 2 units to the right and 5 units down. what are the new coordinates of A'?
Please solve!!! I will give brainliest!!! Area and equation!!
Answer:
75 square feet
Step-by-step explanation:
Break this apart and turn it into a rectangle
You can the use 15 times 5 to find your answer
HELP TIMED PLZZZ HELP ME PLZZZZ