Answer:
14
Step-by-step explanation:
The following expression is a perfect square. Find the third term.
49y2 + 42y+
Answer:
+ 9
Step-by-step explanation:
Given the expression is a perfect square of the form
(ay + b)² = a²y² + 2aby + b² = 49y² + 42y +
Comparing coefficients of like terms
a² = 49 ( take the square root of both sides )
a = [tex]\sqrt{49}[/tex] = 7
2ab = 42 ( divide both sides by 2 )
ab = 21 , then
7b = 21 ( divide both sides by 7 )
b = 3, thus
b² = 3² = 9
Hence
49y² + 42y + 9 = (7y + 3)²
Jamie ran a total distance of 6 and 1 over 2 miles during the months of March and April. If Jamie only ran 1 over 6 mile every day, how many days did she go running?
Given:
Total distance covered by Jamie = [tex]6\dfrac{1}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
To find:
The number of days in which she go for running.
Solution:
Total distance covered by Jamie [tex]=6\dfrac{1}{2}[/tex] miles
[tex]=\dfrac{6\times 2+1}{2}[/tex] miles
[tex]=\dfrac{12+1}{2}[/tex] miles
[tex]=\dfrac{13}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
Now,
[tex]\text{Required number of days}=\dfrac{\text{Total distance covered}}{\text{Distance covered each day}}[/tex]
[tex]\text{Required number of days}=\dfrac{\dfrac{13}{2}}{\dfrac{1}{6}}[/tex]
[tex]\text{Required number of days}=\dfrac{13}{2}\times \dfrac{6}{1}[/tex]
[tex]\text{Required number of days}=39[/tex]
Therefore, the required number of days is 39.
32a + 28 = 0
(Factor completely.)
Answer: 0.875
Step-by-step explanation:
In January, Mr. Cooper started a new exercise plan weighing 200 pounds. In March, he found his weight had increased by 5% because the exercise had increased his muscle mass. He added some work on the treadmill to his exercise routine found in May that he had dropped 6% from his March weight.
Answer:
In March he weighed 210 pounds
Step-by-step explanation:
In May he weighs 197.4 pounds
Factor the linear expression 15x – 10 using the greatest common factor of the terms.
A. 5(3x + 2)
B. 5(3x – 10)
C. 15(x – 2)
D. 5(3x – 2)
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
Solutions:
A. 5(3x + 2)
= 15x+10
B. 5(3x – 10)
= 15x-50
C. 15(x – 2)
= 15x-30
D. 5(3x – 2)
=15x-10
Answer:
D
Step-by-step explanation:
Clive and Erica both have part-time jobs where they get paid by the hour. Erica makes more than Clive. The number of dollars, dd, Clive makes in hh hours can be modeled by the equation d=9.5hd=9.5h.
Erica created a graph, with the number of hours she works along the xx-axis and the number of dollars she makes along the yy-axis. Her graph is a line with a slope of 99 and a yy-intercept is 00. Which is a true statement?
Missing Options:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5.
C. Erica's graph is correct, because the slope should be less than 9.5.
D. Erica's graph is correct, because the y–intercept should be less than 9.5.
Answer:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
Step-by-step explanation:
Given
Clive:
[tex]d = 9.5h[/tex]
Erica:
[tex]m = 9[/tex] --- slope
[tex]b =0[/tex] --- y intercept
First, we need to determine the equation of Erica's earnings using
[tex]d = mh + b[/tex]
Where
m = slope = 9
b = y intercept = 0
So, the equation becomes
[tex]d = 9 * h + 0[/tex]
[tex]d = 9h + 0[/tex]
[tex]d = 9h[/tex]
This implies that Erica earns 9 dollars per hour
For Clive:
[tex]d = 9.5h[/tex]
This means that Clive earns 9.5 dollars per hour
From the question, we understand that Erica earns more than Clive.
So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.
When the slope is greater than 9.5, then she earns more than Clive.
Caroline bakes cookies in batches of 24. If she bakes 3 batches of cookies per week, how many weeks would it take her to bake 2,088 cookies?
Answer: 29 weeks
Step-by-step explanation:
From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:
= 24 × 3
= 72 cookies
The number of weeks that would take her to bake 2,088 cookies will be:
= 2088 / 72
= 29 weeks
I will give brainliest!!!
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract a quantity to/from only one side
(Choice B) Add/subtract the same quantity to/from both sides
(Choice C) Rewrite one side (or both) using the distributive property
(Choice D) Rewrite one side (or both) by combining like terms
Answer:
ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE
And part 2: is No
Step-by-step explanation:
can someone please help with with this question
Answer:
Try asking your teacher for some help, so he/she can explain it more to you if you don't understand
Step-by-step explanation:
Felicity writes −2 2/5 as a fraction using the same method she knows for positive mixed numbers. Her work is shown: Multiply the whole number by the denominator: −2⋅5=−10. Add the numerator: −10+2=−8. Write this number over the original denominator: −2 2/5=−8/5. Does this method work to correctly write −2 2/5 as a fraction? Complete the statements below to answer the question.
Answer:
Step-by-step explanation:
2 2/5 = 12/5
-2 2/5= -12/5
To change a mixed number to an improper fraction, take the bottom number or denominator and times by the whole number and then add the top or numerator. So 5*2=10+2=12 put that on top of the denominator you already have or 5
What is the simplified version of -4(8r + 3)
Answer:
-8-3
Step-by-step explanation:
-4(8r+3)
-32r-12
divide both sides by 4
-8-3
Answer:
-8-3
Step-by-step explanation:
What type of number is "0.27820.27820," point, 2782?
Answer:
Decimal
Step-by-step explanation:
Im going to assume you double pasted, happens sometimes. so the answer would be decimal.
how do you determine the quadratic equation having roots that are real numbers and equal
Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
ANSWER:
when the value of (b^2-4ac) is positive, then the roots are real and distinct.
when it is 0 the roots are equal and if it is negative than its root is not real.
ratio pls help very easy
The graphs of functions f(x) and g(x) = f(x) + k are shown below:
What is the value of k?
Answer:
k = 4
Step-by-step explanation:
k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).
2 - (-2) = 4
Hope that helps! :D
Identifying Perfect Squares
Which are perfect squares? Check all that apply.
072
0 36
8
16
81
O 64
48
Answer:
72- no
36-yes
8- no
16- yes
81-yes
64-yes
48-no
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given points.
Answer: y= -3x + 2
Step-by-step explanation:
y=mx+b
m= y2-y1 / x2-x1 = -1 - 5 / 1 - (-1)= -6/2 = -3
y=-3x+b
pick a point and solve for b by plugging in the x and y values of that point.
y=-3x+2
Rebecca works as a dog walker and a tutor. She
earns $20 per hour as a dog walker and $25 per
hour as a tutor. Last week, Rebecca worked both
jobs for a total of 30 hours and earned a total of
$690.
How long did Rebecca work as a dog walker,
and how long did she work as a tutor?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol
If sin X = .342, then x=?
Answer:
Step-by-step explanation:
sinx=.342
then x is just so simple
[tex]x=sin^{-1} (.342)\\\\[/tex]
put that in a calculator or something
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to create a two-way table to analyze her results. Which describes the variables she can use in the first row and first column to create her table?
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
it is c i just got 100 percent
someone help what is the answer to all i will give brainliest to best answer
6th gradw math
Answer:
The first one
Step-by-step explanation:
1. 36/-3 = -12
2.-4-(-16) =12
3.(-3)(-4) = 12
4.21+ (-9) = 12
The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.
Let me know if you need further detail for them :)
Plz help is the statements true or false
========================================================
Explanations:
------------------------------
Part (a)
Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.
Put another way: (distance from X to Y) = (distance from X' to Y)
So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.
------------------------------
Part (b)
As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.
------------------------------
Part (c)
Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'
Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.
------------------------------
Part (d)
This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.
------------------------------
Part (e)
This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.
Greg ran 12 miles a day on 18 different days last month. How many miles did he run?
54 miles
196 miles
206 miles
216 miles
In triangle ABC, the measure of angle A is 90°. The length of AB is 1 unit. The length of AC is 8 units. Find the length of BC.
Given:
In triangle ABC, [tex]\angle A=90^\circ, AB=1\text{ units}, AC=8\text{ units}[/tex].
To find:
The length of BC.
Solution:
Pythagoras Theorem : In a right angled triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
In triangle ABC, angle A is right angle, so BC is hypotenuse.
Using Pythagoras theorem, we get
[tex]BC^2=AC^2+AB^2[/tex]
[tex]BC^2=(8)^2+(1)^2[/tex]
[tex]BC^2=64+1[/tex]
[tex]BC^2=65[/tex]
Taking square root on both sides.
[tex]BC=\pm\sqrt{65}[/tex]
But side cannot be negative, so [tex]BC=\sqrt{65}[/tex].
Therefore, the length of BC is [tex]\sqrt{65}\text{ units}.[/tex]
Using the Pythagorean Theorem, the length of BC is: 8.1 units.
Recall:
Pythagorean Theorem holds true when solving a right triangle that has side c as hypotenuse and side a and b as the other legs, thus: c² = a² + b².
Triangle ABC is shown in the diagram below, where:
m∠A = 90°AB = 1 unit = aAC = 8 units = bBC = ? = c (hypotenuse)Applying the Pythagorean Theorem, the length of BC is solved as follows:
BC = √(1² + 8²)
BC = 8.1 units
Learn more about the Pythagorean Theorem on:
https://brainly.com/question/16176867
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answer:
Width of rectangular piece = x = 8 inches
Step-by-step explanation:
Perimeter of rectangular piece = 62 inches
Let width of rectangular piece= x
and length of rectangular piece = x+15
We need to find width i.e value of x
The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Putting values in formula and finding Width:
[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]
After solving we get value of x = 8
So, Width of rectangular piece = x = 8 inches
Is 30.030 greater than, less than, or equal to 30.03
Answer:
equal
Step-by-step explanation:
Answer:
equal
Step-by-step explanation:
30.030 can be simplified to 30.03. the zero after the .03 is unnecessary. since 30.030 can be written as 30.03, 30.030 is equal to 30.03
If ABCD was a kite, and P was the intersection of its diagonals, what must be true? (3 points)
There are two pairs of opposite congruent angles.
The diagonals each bisect the other diagonal.
The adjacent sides are equal.
The opposite sides are equal.
Answer:
The opposite sides are equal
Rewrite in simplest terms :
9(-8d - 7 ) +6(d+7)
Answer: -66d-21 I think.
Step-by-step explanation:
9(-8d-7)+6(d+7)
-72d-63+6d+42 Distributive Property
-72d+6d+-63+42 Combine Like Terms
-66d-21 Answer
Use the information to answer the following question.
The angle measures of a triangle are shown.
Angle A: (5x – 5) degrees
Angle B: (3x + 3) degrees
Angle C: (5x) degrees
The sum of the measures of the three angles is equal to
180
°. What is the measure of Angle B? Explain
Answer:
Angle A
Step-by-step explanation:
subtract 3x and 5x
you get 2x
-5-3=
you get -8
divide -8/2x
x=-4
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Sum of the measures is equal to 180° .
So :
[tex]Angle \: \: A + Angle \: \: B + Angle \: \: C = 180 \\ [/tex]
Thus :
[tex](5x - 5) + (3 x + 3) + (5x) = 180 \\ [/tex]
Collect like terms
[tex]13x - 2 = 180[/tex]
Add sides 2
[tex]13x - 2 + 2 = 180 + 2[/tex]
[tex]13x = 182[/tex]
Divide sides by 13
[tex] \frac{13x}{13} = \frac{182}{13} \\ [/tex]
[tex]x = 14[/tex]
_________________________________
[tex]Angle \: \: B = 3x + 3[/tex]
[tex]Angle \: \: B = 3(14) + 3[/tex]
[tex]Angle \: \: B = 42 + 3[/tex]
[tex] Angle \: \: B = 45°[/tex]
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what is 1+1
jwjeb dhjajwej
Answer:
2
Step-by-step explanation:
Really doesnt need more explanation