The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form

Answers

Answer 1

Answer:

11 and -4

Step-by-step explanation:

Let the required two numbers be x and y

If the sum of two numbers is 7, then

x + y = 7 .. 1

If the difference of their squares is 105, then;

x² - y² = 105 ...2

From 1;

x = 7 -  y... 3

Substitute 3 into 2;

(7-y)² - y² = 105

Expand

49-14y+y² -y² = 105

49-14y = 105

-14y = 105 - 49

-14y = 56

y = -56/14

y = -4

Substitute y = -4 into 3

x = 7 -  y... 3

x = 7 - (-4)

x = 7+4

x = 11

Hence the numbers are 11 and -4


Related Questions

the real zeros of √(x-1)+x+1​

Answers

X=0 I’m not sure though but I’m pretty sure

PLEASE HELP! CHOOSE ONE OF THE ANSWER CHOICES AND SHOW YOUR WORK. Don’t put a link as the answer.

Answers

Answer:B 4

Step-by-step explanation:

its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped

Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute
. Also 35 play Piano and Guitar, 40 play Guitar and Flute and 25 play Piano and Flute. 15
play all, Piano, Guitar and flute.
Draw a Venn diagram to represent this information.

Answers

Answer:

Step-by-step explanation:

A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.

From the given information:

Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.

From the image below, we represent:

P =students that played Paino

G = students that played guitar

F = students that played flute

P = 50

G = 68

F = 59

(PUG) -35

(PUF) = 59

(GUF) = 40

since the value of (PUGUF) is not given, we represent it with x.

See the attached image below for diagrammatic representation of the Venn diagram.

PLS HELP I NEED THIS IN 3 HOURS PLS DO NOT GIVE ME A LINK FOR AN ANSWER

A triangle scarf has an area of ​​70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the triangle.

A parallelogram-shaped window has an area of ​​18 1/3 square feet. The height of the window is 3 feet. What is the length of the base of the window?

Answers

Answer:

Step-by-step explanation:

as Area of triangle is=1/2 base*height

Given

area=70

height=h=8

base lenght=?

put values in above formula for unkown

70=1/2 (8*b)

70=4*b

b=70/4

b=17.5 units

Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 132 mg/dL and σ = 11.3 mg/dL. what is the level L such that there is probability only 0.01 that the mean glucose level of 5 test results falls above L?

Answers

Answer:

134.6

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula. This is X when Z has a p-value of 1-0.01 = 0.99. So it is X when Z = 2.325.

The level is L = 134.6

The Central Limit Theorem estabilishes that, for a random variable X, with mean  and standard deviation, large sample size can be approximated to a normal distribution with a mean and standard deviation

Helpppppppppppppppppppppppp

Answers

Answer:

[tex]x = 15[/tex]

165+x = 180 (linear pair)

Hence x = 15

Pleeeeaaaaase help me

Answers

Step-by-step explanation:

measure all the sides then multiply you will get the answer

-2
у
5
4.75
4.5
4.25
1
2.

Answers

The answer is 2.456 to be exact

look at pic 10 pts will mark brainilest

Answers

Answer:

B. 160 minutes

Step-by-step explanation:

200/5=40

40*4=160

Answer:

160

Step-by-step explanation:

You would have to divided the recent pages (200) with the previous (5)

and you would get 40 and then you would multiply the divided amount page with the 4 minutes and you would get 160

How it was worked out:

200 / 5 = 40, 40 x 4 = 160

pls tell the answer pls

Answers

Answer:

The correct answer is C

Step-by-step explanation:

It’s C I’m pretty sure

Pls Help! Put a proper answer! If you put a link I will report you!
When clearing the fractions in the equation below, what is the Least Common Denominator?

Answers

Step-by-step explanation:

X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1

what does 7 x 3/4 equal?

Answers

Answer:

21/4

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

21/4 that's it. ..........

help please ! i need this asap

Answers

Answer:

x = 65° + 60° = 125°

What could be added to each expression to make it a perfect square? Then
write the perfect square factor.
Expression 1*
2 poi
x2 + 12x

Answers

Answer:

Step-by-step explanation:

just check this 2x²+3x-5=0

8. What is the value of x? Pls show work thank you

Answers

Answer:

hi

Step-by-step explanation:

[tex]7x - 15 + x= 180 \\ 8x = 180 + 15 \\ 8x = 195\\ x = 24.375 \\ x + 28 + 4x - 3 + 24 = 180 \\ 5x = 180 - 28 + 3 - 24 \\ 5x = 131 \\ x = 26.2[/tex]

i think so

hope it helps

have a nice day

ENTERTAINMENT For Exercises 19 and 20, use the following information.
Fairfield High spent d dollars for refreshments, decorations, and advertising for a dance. In
addition, they hired a band for $550.
19. Write an expression that represents the cost of the band as a
fraction of the total amount spent for the school dance.
20. If d is $1650, what percent of the budget did the band account for?

Answers

Answer:

D + 550 = X

The band accounted for 25% of the budget.

Step-by-step explanation:

Since Fairfield High spent D dollars for refreshments, decorations, and advertising for a dance, and in addition, they hired a band for $ 550, to write an expression that represents the cost of the band as a fraction of the total amount spent for the school dance and determine, if D is $ 1650, what percent of the budget did the band account for, the following calculations must be performed:

D + 550 = X

D = 1650

1650 + 550 = X

2200 = X

2200 = 100

550 = X

550 x 100/2200 = X

55,000 / 2,200 = X

25 = X

Therefore, the band accounted for 25% of the budget.

the equation for this line of best fit is shown below, where d is the distance in miles and f is the fare in dollars.

f = 0.1d + 100



Which of these is a correct interpretation of the slope of this line?



A.
The fare increases $10 for every additional mile

B.
The fare increases $0.10 for every additional 100 miles

C.
The fare increase $0.10 for every additional mile

Answers

Answer:

C

Step-by-step explanation:

the .1 is how much it increases per mile

so .10 a mile increase

What is the volume of this rectangular prism? 1/2cm 4cm 3/2cm
i will mark brainliest thank u​

Answers

Answer:

3

Step-by-step explanation:

i changed 1/2 into 0.5 and 3/2 into 1.5 then 0.5 times 4 times 1.5 and got 3

pls mark me branilest

Plz help, I award brainliest!

Answers

Answer:

15 m E. B. C. D. that's why I will be there

Which functions have a period of 2 pi

Answers

Answer:

yes

Step-by-step explanation:

Jeremiah has a bag with 5 red marbles 8 yellow marbles 4 blue marbles and 3 green marbles what is the probability as a percent that he will not pick a green marble​

Answers

Answer:

85%

Step-by-step explanation:

P(not green) = 17/20 which equals 85%

Can anyone help me with this quickly?

Answers

9514 1404 393

Answer:

N17.91°W0.9 hours

Step-by-step explanation:

The sum of the initial vector and the final vector needs to be equal to the original vector. If we let B represent the vector taken after discovering the mistake, we must have ...

  wrong vector + B = intended vector

  B = (intended vector) -(wrong vector)

Since the speed is presumed constant, we can write the vectors in terms of hours, not miles. For calculation purposes it is convenient to use bearings measured clockwise from north. West of north will be negative bearing angles for the purpose here. Of course, south is a bearing of 180°, so angles west of south are farther clockwise, hence added to 180°.

  B = 4.5∠-22° -0.5∠202° = 4.87207∠-17.91192° . . . using a suitable calculator

__

a) The new bearing must be N17.91°W

__

b) At the time the error was discovered, the 4.5 hour trip was already 0.5 hours old. Hence the expected additional time is 4.5 -0.5 = 4.0 hours. The actual additional time is 4.872 hours, so the trip will take ...

  4.872 -4.0 ≈ 0.9 . . . hours

longer than originally planned.

_____

Comment on coordinates

Bearings are conventionally rendered as a positive angle in the range 0–360°, measured clockwise from north. Alternatively, they are given (as here) as a positive angle in the range 0–90° east or west from north or south.

Occasionally, you will see bearings expressed as an angle in the range 0–45° from the nearest cardinal direction toward the next-nearest cardinal direction. (For example, E19°S instead of 109° or S71°E.)

Compared to angles measured conventionally on a Cartesian plane, CCW from +x, bearing angles are essentially conventional angles subtracted from 90° (and vice versa). As far as angles are concerned, The Cartesian coordinates are the same as map coordinates if you reflect the map across the line y=x.

Calculators that work with vectors work just fine with bearing distances and angles. You just have to remember that the (a, b) rectangular coordinate pair is (N, E) rather than the usual Cartesian plane (E, N). (East being to the right; North being up.)

-4(2x+9)+3x=6-4(x-3)

Answers

Answer x= -54

Hope this helps

The answer x=−54
Hope it helps

I WILL GUVE BRAINERLEST AND A LIKE


Jack needs to replace some flooring in
his house.

Answers

Answer:

B

Step-by-step explanation:

i think

Find the volume..
Pleaseeeee helppp being timed

Answers

Answer:

The right answer is 125.6

Answer:

A. 502.4

Step-by-step explanation

ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer: these are the y intercepts NOT IN LEAST TO GREATEST ORDER JUST IN THE ORDER OF THE QUSTION

0,7

0,0.7

0,-5

0,2

Step-by-step explanation:

Answer:

these are the y intercepts NOT IN LEAST TO GREATEST ORDER JUST IN THE ORDER OF THE QUSTION

0,7

0,0.7

0,-5

0,2

Step-by-step explanation:

Please help me im gonna fail.

Answers

Answer:

see below

Step-by-step explanation:

if the radius is 21, then the height is 24  (21 is 3 less than 24)

[tex]v=\pi r^{2} h\\v=\pi 21^{2} (24)\\v=\pi 441*24\\V=\pi 10.584\\v=3.14(10.584)\\V=33234[/tex]

the closest option would be the 33264

I NEED HELP!!!!

SELECT ALL THAT APPLY

WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?

A=1/2bh

A. Trapezoid
B. Triangle
C. Rectangle
D. Square
E. Cube

Answers

Answer:

B

Step-by-step explanation:

Cand D: A= bh

A: A = (a+b)/2h

E: A= 6a^2

help please i really need this done

Answers

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

above ^^^ is the right answer. the guy above me :)


Clare buys an item that normally costs $36. After using a coupon, the price came down to $27 before taxes. What percent off was this coupon?

Answers

27 is 75 percent of 36! This means the coupon was a 75% off coupon. Have a great day!
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