Two numbers differ by 5. The sum of their squares is 193. Find the numbers.

Answers

Answer 1

Answer:

Let one number be x and the other be (x-5)

Step-by-step explanation:

x^2+(x-5)^2=193

x^2+x^2-10x+25=193

2x^2-10x+25=193

Subtract 193 from both sides of the equation.

2x^2-10x-168=0

x=12 or x=-7

x-5=7 or x-5=-12


Related Questions

I NEED HELP ASAP AS SOON POSSIBLE TODAY I WILL MARK YOU BRAINLIST Combining like terms before Adding or Subtracting: Answer the following question that combines like terms before simplifying using information that you know
2(2x+4)-3x=12
Answers
x=4

x=8

4

12

Answers

4 373737373737372637

Answer: 4

Step-by-step explanation:

first you remove the parentheses it should look like this (4x+8-3x=12) then you collect the like terms (like terms have the same variable to the same power) it should look like this(x+8=12). then you move the constant to the right then last you calculate it should look like this x=12-8). then you subtract 12 by 8 and 4 is what you get.

Solve for x and find the measure of

Answers

Answer:

C

Step-by-step explanation:

180 - 42 - 38 = 100

someone help me pls

Answers

d bc it equals to a number that is rational

6z-7=2z-2 can't figure it out

Answers

Answer:

[tex]\huge\boxed{z=\dfrac{5}{4}=1\dfrac{1}{4}=1.25}[/tex]

Step-by-step explanation:

[tex]6z-7=2z-2\qquad|\text{add 7 to both sides}\\\\6z-7+7=2z-2+7\\\\6z=2z+5\qquad|\text{subtract}\ 2z\ \text{from both sides}\\\\6z-2z=2z-2z+5\\\\4z=5\qquad|\text{divide both sides by 4}\\\\\dfrac{4z}{4}=\dfrac{5}{4}\\\\\boxed{z=\dfrac{5}{4}}[/tex]

Answer: z = 5/4

Step-by-step explanation: First simplify the equation by subtracting 2z from both sides and adding 7 to both sides to get 4z = 5.

Step by step below

6z -7 = 2z -2

-2z        -2z

4z -7 = -2

+7         +7

4z = 5

Now divide both sides by 4 to get z = 5/4

4z/4 = 5/4

z = 5/4

Hope this helps!

Plzzzzzz help a girl out due in 3 mins iready

Answers

Answer:

14 2/3 is the answer. have a good one

14 and 2/3 I’m pretty sure

One-hour carbon monoxide concentrations in air samples from a large city average 12 ppm (parts per million) with standard deviation 9 ppm.

Required:
a. Do you think that carbon monoxide concentrations in air samples from this city are normally distributed.
b. Find the probability that the average concentration in 100 randomly selected samples will exceed 14 ppm.

Answers

Answer:

0.0132

Step-by-step explanation:

No

Carbon monoxide concentrations sample in air from a large city are not normally distributed. This is often so because of the time of the day and that of the night. There exists different concentrations during the day, with respect to during the night. The companies and factories work during the day, so does most vehicles. This means that there tend to be a higher concentration during the day, than there will be during the night.

b)

Assuming that Y' is approximately normal, we can say that

P(Y' > 14) = P(Z > [√100(14 - 12)/9]) and this is equal to

P(Z > 2.22) = 0.013

A square has sides 5 inches long. what is the approximate length of a diagonal of the square?

Answers

Answer:

20

Step-by-step explanation:

5x4= 20

WILL GIVE BRAINLIEST!!!

Answers

Answer:

x= 5; Segment QR is the mid segment and YW is the base of the triangle. Mid segments are half the length of the base.

Step-by-step explanation:

2x - 3 = (x + 9) ÷ 2 Multiply both sides by 2

(2x - 3) • 2 = x + 9

4x - 6 = x + 9 Add 6 to both sides

4x = x + 9 + 6

4x = x + 15 Subtract x from both sides

4x - x = 15

3x = 15 Divide 3 on both sides

x = 15/3

x = 5

can you help I'm confused​

Answers

Answer:

x ≤ 5

Step-by-step explanation:

Answer:

x <= 5

Step-by-step explanation:

mark me brainliest

How would you describe this pattern's rule? 65, 62, 59, 56, 53,50

Answers

You are subtracting 3 each time. (-3)

The rule of the pattern follows that each successive number is 3 lesser than the preceeding Value.

The first term = 65

Second term = 65 - 3 = 62

Third term = 62 - 3 = 59

Fourth term = 59 - 3 = 56

Fifth term = 56 - 3 = 53

Sixth term = 53 - 3 = 50

Therefore, each successive number is reduced by 3.

Learn more : https://brainly.com/question/18479471

Find each missing measure
Help please

Answers

Angle m and n are 76 P Q and R are 60

Find the perimeter of the square. Be sure to write the correct unit in your answer.
17 mM

Answers

Answer:

P=17×4=68mm

...........

2.
Find x
4x+5
10x-40
6x+5
X=
FIND X?!??

Answers

Oh yeah lol I did it on yesterday and


In the equivalent ratios 4:7 and 48:x, what is the value of x?

Answers

Answer: 84

Step-by-step explanation: 48÷4= 12 so 12 times 7 is 84

Anyone completes all of this gets extra points

Answers

Answer: can you take a closer picture

Step-by-step explanation:

A person takes up 18 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 20 rows of bleachers, how many people can fit into the stands?

Answers

1,333.33 people can fit

The number of people who can fit into the stands in the stadium is 1,333 people

Number of people in the stadium

Space taken by each person = 18 inches

Length of a row of bleachers = 100 feet

Rows of bleachers = 20

Conversion of feet to inches

1 feet = 12 inches

100 feet = 1200 inches

Number of people per row = 1200 inches ÷ 18 inches

= 66.67 people

Number of people that fits the stand = Number of people per row × Rows of bleachers

= 66.67 × 20

= 1,333.4

Approximately,

1,333 people can fit into the stands in the stadium

Learn more about unknown number:

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A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?

Answers

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by distance needed to travel by the speed

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore the final answer is 12.5 hours

I hope this helps :)

A rectangle has a length of x +5 and a width of
X-7. Write an equation that describes the area, A,
of the rectangle in terms of x.
A = 2x + 12
b. A= 2x - 2
A=x2 + 12x - 35
d. A=x? - 2x - 35

Answers

Answer:

A=x2 - 2x -35

Step-by-step explanation:

x+5 x-7

The solution is Option D.

The area of the rectangle is A = x² - 2x - 35

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

The length of the rectangle L = x + 5

The width of the rectangle is W = x - 7

And ,

The area of rectangle = L x W

Substituting the values in the equation , we get

The area of rectangle = Length of rectangle x Width of rectangle

The area of rectangle = ( x + 5 ) ( x - 7 )

On simplifying the equation , we get

The area of rectangle A = x ( x - 7 ) + 5 ( x - 7 )

The area of rectangle A = x² - 7x + 5x - 35

The area of rectangle A = x² - 2x - 35

Therefore , the value of A is x² - 2x - 35

Hence , the area of rectangle is x² - 2x - 35

To learn more about area of rectangle click :

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#SPJ2

I need the answer now. Which of the following values in the set below will make the equation 4x + 2 = 18 true? (Only input the number.) {0, 1, 2, 3, 4} (5 points)

Answers

Answer:

x=4

Step-by-step explanation:

at x=4

[tex]4(4)+2=18\\16+2=18[/tex]

Answer:

4

Step-by-step explanation:

bc 4 times 4 is 16 plus 2 is 18

Jeff divided his 1,200 stamps equally among 7 stamp albums. Were there any stamps left over?
If so, how many?


Yes; there was 1 stamp left over.


Yes; there were 3 stamps left over.


Yes; there were 10 stamps left over.


No; there were no stamps left over.

Answers

Answer:

3 stamps were left over

Step-by-step explanation:

Division

When a number m divides evenly by n the remainder is 0. For example, 120 divides exactly by 30 because 120/30=4 and the remainder is 0.

But 120 does not divide exactly by 50 because 120/50 = 2 and leaves a remainder of 20.

Jeff divided his 1,200 stamps equally among 7 stamp albums. If the division of 1,200 by 7 was exact, there won't be any stamp left over. Let's test it.

1,200/7 is 171.4, obviously is not exact, thus There were stamps left over.

How many?

Multiply the lower integer of division 171 by 7 to get: 171*7 =1,197. This means that 1,200-1,197= 3 stamps were left over

d-4=19 d=15 answer please

Answers

Answer:

I think the answer is 8

Classify the triangle that satisfies the following set of conditions: one right angle and two congruent sides.

Answers

Answer:

A Right angled triangle

Plzzz be serious and be fast to

Answers

Answer:

i think its c

Step-by-step explanation:

Answer:

I believe it's C... I may be wrong though

Step-by-step explanation:

hav a good day :D

Rewrite the exponential expression 25^3/2as a radical expression-
plss helpp

Answers

Answer:

[tex]\huge\boxed{\sqrt{25^{3}}}[/tex]

Step-by-step explanation:

When we have a number to a fraction power, we need to note that

It's the same as taking the denominator root of the base to the numerator power

Basically, for example, [tex]5^{\frac{1}{2}}[/tex] is the same as [tex]\sqrt{5}[/tex] since the numerator is 1 ([tex]5^1 = 5[/tex]) and the denominator is 2 ([tex]\sqrt{5}[/tex]).

Applying this same logic to [tex]25^{\frac{3}{2}}[/tex] -

[tex]25^{3}[/tex]

[tex]\sqrt{25^3}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

25  3/2  If  n  is a positive integer that is greater than  x  and  a  is a real number or a factor, then  a  x  n  =  n

√  a  x

.  a

x  n

=  n

√  a  x  Use the rule to convert  

25  3  2  to a radical, where  a  = 25

,  x  =  3  and,  n  =  2 .

√25  3

The result can be shown in multiple forms.

Exact Form:  √25  3

Decimal Form:

125


Which name describes all of the shapes?
A parallelogram
B. quadrilateral
C. rectangle
D. rhombus
E. trapezoid

Answers

Answer:

B

Step-by-step explanation:

A quadrilateral is a shape that has exactly 4 sides.

All of the other shapes have 4 sides but with restrictions

For example, a rhombus has to have equal sides whe a rectangle doesn't

That's why B is the answer.

I hope this helps!!!


PLEASE HELP !!!!!Factor 16x2 - 6x - 7.
A. (2x + 1)(8x - 7)
B. (4x + 7)(4x - 1)
C. (2x - 1)(8x + 7)
OD. (4x - 7)(4x + 1)

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

16x^2-6x-7  Question

Step 2

16x^2-6x-7   Factor

answer

(2x+1)(8x-7)

5TH GRADE LEVEL QUESTION: LOOK AT PHOTO AND ANSWER (GIVING BRAINLIEST )

Answers

It’s definitely C, you’re dividing 4 by 1/2 because that’s how many cups of juice you want.

Brody is going to invest in an account paying an interest rate of 3.7% compounded monthly. How much would Brody need to invest, to the nearest hundred dollars, for the value of the account to reach $34,000 in 13 years?​

Answers

Answer:

21000

this is the answer

The value of the account is to reach $34,000 in 13 years with a rate of 3.7 compounded monthly is $ 21,000.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Brody is going to invest in an account paying an interest rate of 3.7% compounded monthly.

The rate of interest yearly will be

[tex]\rm Yearly \ rate = \dfrac{3.7}{12}\\\\Yearly \ rate = 0.308 \%[/tex]

The value of the account is to reach $34,000 in 13 years.

Amount (A) = $ 34,000

Time (t) = 13 years

Rate (r) = 0.308 %

Then the principal amount will be

[tex]\begin{aligned} A &= P (1 + \dfrac{r}{100})^{12*t}\\\\34000 &= P (1 + \dfrac{0.308}{100}) ^{13 * 12}\\\\34000 &= P (1.00308)^{156}\\\\P &= 21,044 \approx 21,000 \end{aligned}[/tex]

The principal amount is $21,000.

More about the compound interest link is given below.

https://brainly.com/question/25857212

Find the surface area of the square pyramid

Answers

Answer:

341 m²

Step-by-step explanation:

surface area of a square base pyramid = base area + 4 ( triangular sides area)

where:

base = 11 m

side height length = 10 m

Surface area = 11² + 2(11)10

                     = 121 + 220

                     = 341 m²

HELP HELP HELP NOW!!!

Answers

Answer:

The 3rd one

Step-by-step explanation:

I think

Answer:

it's the last one

'the slope of ab is different than the slope of BC

Step-by-step explanation:

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