If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?

(A) 162
(B) 130
(C) 81
(D) 34
(E) 17

Answers

Answer 1

Answer:

17

Step-by-step explanation:

t^2 + m^2 = 64

(t+m)^2 = 98

(t+m)^2 = t^2 +2tm+ m^2

==>

t^2 +2tm+ m^2 = 98

t^2+m^2+2tm=98

64+ 2tm=98

2tm = 98 -64

2tm=34

tm= 34/2

tm = 17


Related Questions

Select all of the true statements.

A.
1
3

foot
>
5

inches
B.
4

miles
>
7
,
000

yards
C.
2
1
4

miles
<
10
,
000

feet
D.
5
3
4

yards
=
196

inches
E.
8

yards
=
24

feet

Answers

Answer:

miles

<

10

,

000

feet

D.

5

3

4

yards

=

196

inches

E.

8

yards

=

24

feet

Hunter is 9 years older than 3 times the age of his nephew.
Hunter is 33 years old. How old is his nephew?

Answers

Answer:

Hunter's nephew is 8 years old.

Step-by-step explanation:

We could set up an expression to represent the situation, then solve for the nephew's age. The age of the nephew should be represented by X.

3x + 9 = 33

To get 3x by itself, subtract 9 from both sides.

3x + 9 - 9 = 33 - 9

3x = 24

To get X alone, divide by 3 on both sides.

24 divided by 3 is 8. Hunter's nephew is 8 years old.

Let △ABC be a right triangle with m∠C = 90°. Given tan ∠A = 0.25, find tan ∠B.

Answers

Answer:  4

==========================================================

Rule:

If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )

-------

Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.

So,

tan(B) = 1/( tan(A) )

tan(B) = 1/( 0.25 )

tan(B) = 4

-------

Here's another way to think about it.

If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25

When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,

tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.

For any of these cases, we don't involve the hypotenuse AB.

which function is graphed?

Answers

Step-by-step explanation:

hello it's B)

v ::::: ok

.

.

.

.

.v:

It’s B :) Good luck!

Please help me with this asap if you can.

Answers

Answer:

The first box plot is for group 2

The second box plot is for group 1

The third box plot is for group 3

is 2y=10 a function?

Answers

Answer:

2y = 10 is an equation

An equation is a statement that shows that the values of two mathematical expressions are equal (indicated by the sign =)

can someone help please !! giving brainlist to anyone who answers

Answers

Answer:

with?

Step-by-step explanation:

I can help you, but there’s nothing so ?

JESSIE CAN MAKE 300 PHOTOCOPIES OF A PAGE IN 3 MINUTES. ELSA XANDO THE SAME JOB IN 6 MINUTES. IF BOTH OF THEM WORK TOGETHER, HOW LONG IT WILL TAKE THEM TO DO THE JOB?​

Answers

Answer:

elsa can do 150 in 3 minutes.

so together they can do 450 in 3 minutes, or 150 in 1 minute

they would need two minutes

Answer:

4.5 minutes long to do their job.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours

Answers

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

[tex]0 \leqslant x \leqslant 3[/tex]

20x,

[tex]3 < x \leqslant 6[/tex]

10x,

[tex]x > 6[/tex]

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

please help step by step how do I solve this​

Answers

Answer:

my suggested answer (576)

Step-by-step explanation:

i chose the wrong answer :(

[tex]2x^2+8x-7=-2[/tex]


Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer

Answers

Answer:

x = -2 ±√(13/2)

Step-by-step explanation:

Annabelle cuts 2 feet from a 5​-foot length of rope. Then she cuts 17 inches from the rope. How many inches of rope are​ left?

Answers

Answer:

1.58feet

Step-by-step explanation:

Given data

Total lenght of rope= 5 feet

She cuts 2 feet

Remainder= 5-2= 3feet

Now let us convert 17inches to feet

from tables, 17inches is 1.41667feet

Hence the amount of rope now left is

=3-1.41667

=1.58feet

In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12

Answers

Answer:

there are 4 groups of 3

Step-by-step explanation:

12 ÷ 3 = 4

answer : 4

Step-by-step explanation:

12 = 3 + 3 + 3 + 3 there are 4 groups of 3

A member has a monthly membership for $480 per month. They also have a 25% discount on top of the monthly price and have paid for 1 month of service to date. In an attempt to retain the member, you offer a 40% discount instead. With the new discount and since the member already paid for a month of service, you will need to provide a refund for the difference. How much would you refund for the month already paid?

Answers

Answer:

$72

Step-by-step explanation:

For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.

480 x .4 = 192

40% of $480 is $192. The next step is to find the difference between $192 and $120.

192 - 120 = 72

Therefore, you need to give them of refund of $72.

Quadrilateral ABCD is inscribed in a circle. Angle B measures 19°. What is the measure of angle D?

Answers

Answer:

[tex]D = 161^o[/tex]

Step-by-step explanation:

Given

[tex]\angle B = 19^o[/tex]

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

[tex]B + D = 180^o[/tex] ---- opposite [tex]sides[/tex] of a [tex]cyclic \\[/tex] quadrilateral

Make D the subject

[tex]D = 180^o -B[/tex]

[tex]D = 180^o -19^o[/tex]

[tex]D = 161^o[/tex]

Escribe el nombre de algún tipo de ángulo que se forma "Entre Dos rectas Paralelas y una Secante"

Answers

Answer:

We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.

Step-by-step explanation:

Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.

Your throw your ball into a air from height of 4.2

Answers

Answer:

Done

Step-by-step explanation:


35 points!!! Which is the general form of the equation of the circle shown?
Options shown on image.

Answers

The answer is B/the second one.

f
is inversely proportional to

g
.
When
f
=
12
,
g
=
64

Work out
f
when
g
=
16

Answers

The value of 'f' when 'g' is 16 is 24.

How to calculate the value

If 'f' is inversely proportional to square root of 'g', it can be expressed thus;

f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]

Then

f * [tex]\sqrt{g}[/tex] = constant

f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂

If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,

f₂  = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4

Substitute into formula

12 * 8 = f₂ * 4

Make 'f₂' subject

f₂ = 96 ÷ 4

f₂ = 24

Therefore, the value of 'f' when 'g' is 16 is 24.

Learn more about indirect variations:

https://brainly.com/question/6499629

#SPJ1

Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
responses what percent is the increase 100 of the original number of responses 802

Answers

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%


What is the median of the data represented in the line plot?

Answers

Answer:

The answer is Choice D

Step-by-step explanation

The median is the middle value in the given set of data.

If the data is even, then there will be two middle numbers, then the median is the average of these two middle numbers.

Thus, from the data, it is obvious that the number of data in the given set is 13.

Hence, the middle number is 23.

Therefore, the median of the data is 23.

-42+(-17) simplified

Answers

Answer:

La respuesta es

Step-by-step explanation:

-42+(-17)=. - 59

Espero ayudarte suerte

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-59  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Which represents the table ?

Answers

Answer:

b

Step-by-step explanation:

dfghdfhjdfjdfj


[tex]given \: f(x) = \frac{4x - 10}{x - 2[/tex]
determine the x and y intercept of f​

Answers

Given :-

f(x) = 4x - 10/ x -2

To Find :-

x and y intercept .

Solution :

Let ,

→ y = f(x)

So that ,

→ y = 4x - 10/ x -2

For finding x intercept , substitute y = 0 .

→ 0 = 4x - 10/x - 2

→ 4x - 10 = 0

→ 4x = 10

→ x = 10/4

→ x = 5/2

x = 2.5

For finding y intercept , put x = 0 .

→ y = 4*0 - 10 / 0 -2

→ y = -10/-2

y = 5

x intercept = (2.5,0)y intercept = (0,5)

Help asap please 50 points

Answers

Answer:

The area of rectangle is 8 x ² y ².

Step-by-step explanation:

Given that :- Measure of side A of rectangle is 2 xySide B measure twice the length of side A = 2 × ( 2xy ) = 4 xy

To Find :-

➛ Area of rectangle

Formula Used :-

➛ Area of rectangle = Length × Breadth

Solution :-

Firstly we need to find Breadth of rectangle

Using Formula

Area of rectangle = Length × Breadth

Where

Length of rectangle = 2xy

Breadth of rectangle = 2 × 2xy = 4 xy

Substituting the values into the Formula

Area of rectangle = 2 xy × 4 xy

multiply, we get

Area of rectangle = 8 x² y²

Therefore, Area of rectangle is 8 x ² y ².

Christine owns 9 hair bands and additional hair bands are 2 for a dollar. How much money does she need to spend on hair bands in order to own a total of 49 hair bands?

Answers

Answer: $20

Step-by-step explanation:

If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?

Need help ASAP DUE AOLN AND PLEASE SHOW WORK ?!!!

Answers

Answer: 35.98in

Step-by-step explanation:

Use the formula: h=3 v/pi(r^2)

Answer:

V = 36.0 in

Step-by-step explanation:

V of cylinder = (1/3)πr^2(h)

V of cylinder = 3052 cubic inches

r = 9 in

3052 = (1/3)π(9)^2(h)

3052 = (1/3)π(81)h

3052 = 84.82300165h

divide both sides by coefficient of h

h = 36.0 in (rounded to nearest tenth)

Which type of angle is related to supplementary angles?

Reflex

Straight

Acute

Obtuse

Answers

straight angle because the supplementary angle and straight angle is same.

PLEASE HELP ME!

EXPLANATION = BRAINLIEST

the area is ___ square units

Answers

Answer:

50 units²

Step-by-step explanation:

Solve for both long sides:

6² + 8² = x²

36 + 64 = x²

100 = x²

x = 10

Solve for both short sides:

3² + 4² = x²

9 + 16 = x²

25 = x²

x = 5

Area:

5 x 10 = 50

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

PLEASE PLEASE HELP ME WITH THIS PLEASE!!! ITS IXL

ANSWER EXPLANATION = BRAINLIEST

You can transform ⨀N to ⨀N' by translating it and then performing a dilation centered at N'. Find the translation rule and the scale factor of the dilation

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Translation: (x,y)↦ (____, ____)

Scale factor: _____?

THANK YOU!

Answers

Answer:

ok who ever ur teacher is is kinda a mean teacher because they givin u like 98th grade questions bro i dont even know this and im in college

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

The point N is at (-7, -8)

The point N’ is at (4, -4)

On the x-axis, -7 to 4 is a shift of 11 units to the right.

On the y-axis, -8 to -4 is a shift of 4 units upward.

To find the scale factor, we need to find the change in radius size.

As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.

As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.

6 is 3 times the amount of 2, meaning the scale factor is 3.

Hope this helps!

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