Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool. If he had ridden directly to the pool, how much distance would be have saved? Round to the nearest tenths of a mile.

Put 2 where x is:

h(2) = g(2+2) -1 = g(4) -1

_____

Put -2 where x is:

h(-2) = g(-2+2) -1 = g(0) -1

63 = 0.63×10² = 126/2 = 3×21 = √3969 = 77₈

The last is as a base-8 number.

63=60+3=31.5*2=63/100

the answer to the question is a.) 5rr cm because 5rr is right on brainly i've had it

(7)

if r perpendicular to s then angles 1,2,3,4=90 deg.

if t perpendicular to s then angles 5,6,7,8=90 deg.

If two different lines intersect a third line at the same angle then they must be parallel.

r and t intersect s at the angle 2=90 deg  and 6 = 90 deg, therefore r and t are parallel.

(6) use sum of angles in a triange =180 deg property.

first, the complement to 105 is an angle of 75 deg. then x=180-(24+75)=81 deg

x=81 deg

(5)

[tex]\angle STU=180-\angle STR=180- \angle SRT   \\\\\4x = 180-20=160\\\\x=40[/tex]

(4) sum of angles = 180 deg

62 +45 + k = 180

k = 180 -107  = 73

k = 73

(2k, k) and (3k, 4k)

Slope = (4k  - k )/(3k - 2k)

= 3k / k

= 3

Answer :

3

slope = 3

to calculate the slope (m ) use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2k, k) and (x₂, y₂ ) = (3k, 4k )

m = [tex]\frac{4k-k}{3k-2k}[/tex] = [tex]\frac{3k}{k}[/tex] = 3

K=0

brainiest plz eeeeeeeeeeeeeeeeeee

a) x=4 is 5 units to the right of x=-1.

y=12 is 4 units up from y=8.

Your point (-1, 8) is translated to (4, 12).

___

b) If the parent function f(x) = x is translated so it goes through (4, 12), the translated function can be written ...

... g(x) = f(x-4) +12 = (x -4) +12

... g(x) = x +8

Answer:

  x = 44

Step-by-step explanation:

This is a 2-step linear equation. Add the opposite of the constant (the one on the side with the variable term), then multiply by the inverse of the coefficient of the variable.

Add 5, then multiply by 4.

  x/4 -5 = 6 . . . . . given

  x/4 = 11 . . . . . . . add 5

  x = 44 . . . . . . . . multiply by 4

Answer:

x=44

Step-by-step explanation:

Answer:

B. 0.075 in

Evan apparently divided by time. He might do that if he were not paying attention to units.

Step-by-step explanation:

The given rainfall rate is ...

... (1.5 in)/(60 s) = (1/40) in/s = 0.025 in/s

To find the rainfall in 3 s, you need to multiply rate by time:

... (0.025 in/s)×(3 s) = 0.075 in

If you keep the rate and time in terms of minutes, then you have:

... (1.5 in/min)×(0.05 min) = 0.075 in

_____

Evan apparently divided, instead. His number is not inches.

... (1.5 in/min)/(0.05 min) = 30 in/min² . . . . not the appropriate units for the problem

The correct amount of rain that fell in 3 seconds at Brasse Terre, Guadalupe, is 0.075 inches, as calculated by multiplying the rate of 1.5 inches per minute by 0.05 minutes. Evan made an error leading to answer D, which is incorrect.

In 1970, a record 1.5 inches of rain fell in one minute. To find out how much rain fell in 3 seconds, which is 0.05 of a minute, we need to multiply the rate of rainfall by the fraction of the minute we are interested in. The calculation is as follows:

1.5 inches/minute x 0.05 minute = 0.075 inches

Evan seems to have misunderstood the calculation, leading to answer D, but the correct amount of rain that fell in 3 seconds is 0.075 inches, which corresponds to option B.

When you want a parallel line through a given point (h, k), you can start with the equation you have and do the following:

Here, that looks like

... (y-(-100)) = -2(x-(-100))

... y = -2x -200 -100 . . . . . eliminate parentheses, add -100

... y = -2x -300 . . . . the equation you want.

Answer:

y = - 2x - 100

Step-by-step explanation:

Remark

The line we want is a line parallel to y = - 2x + 3

That means it has the same slope as the given line.  The given line has a slope of  -2

y = -2x + b is what you have so far. Now you have to use the point to get b

y = - 100

x = - 100

Solve for b

-100 = -2(-100) + b

-100 = 200 + b       Notice the sign change. Two minus's make a plus. Subtract 200 from both sides.

- 100 - 200 = b

- 300 = b

Answer

y = - 2x - 100

There are two pairs of digits such that one is 8 more than the other: 0, 8 and 1, 9.

Since 0 is not one of the digits of the number in question, that number must be ...

... 91

Find the slope first, use the formula (y₁-y₂)/(x₁-x₂)

[6-(-2)]/(-1-7) = 8/-8 -> -1              Therefore your slope (mx) is -x.

To find the y-intercept, you use one of the points and substitute it in the slope intercept formula: y=mx+b, using the slope you just found.

-2=-1(7)+b

-2=-7+b -> -2+7=b

b=5

In conclusion, your equation will be y=-x+5. I hope this helped ;)

The two numbers that should replace the question marks on the given sequence are; 22 and 24

We are given the series;

19,20,21,?,?,26,28,32,33,40

From the given sequence, we see that there are two interwoven sequences.

Between 21 and second question mark, the difference is +3

Between second question mark and 28, the difference is +4

Between 28 and 33, the difference is +5

Between 20 and first question mark the difference will be +2

Between the first question mark and 26, the difference is +4

Between 26 and 32 the difference is +6.

Thus our missing numbers are 22 and 24

Read more about sequences at;https://brainly.com/question/7882626

A

this is a geometric sequence since there exists a common ratio r between the terms

r = [tex]\frac{21}{7}[/tex] = [tex]\frac{63}{21}[/tex] = [tex]\frac{189}{63}[/tex] = 3

B

to obtain the next term in the sequence multiply the previous term by 3

[tex]a_{n+1}[/tex] = 3 [tex]a_{n}[/tex] ← recursive rule

C

the n th term of a geometric sequence is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]

where [tex]a_{1}[/tex] is the first term in the sequence

[tex]a_{n}[/tex] = 7 × [tex]3^{n-1}[/tex] ← explicit rule

Hello there,

So you have two fractions 2/5 and 1/4, but none of them have the same denominator... However a LCD that you can get from both of these is 20, so if you multiplied 4 on the top and the bottom for 2/5, you would get 8/20, and for 1/4, multiply 5 on the top and the bottom, and soon you end up with 5/20. If you added these two fractions together, now knowing that they have the same denominator... you would end up with 13/20 which is the answer to your problem.

Hope this was helpful for you :)

Answer:

The correct answer is option A.

Step-by-step explanation:

For the given triangles to be similar the segment AD must be an altitude of ΔABC.

We can provide a theorem for the same:

If we draw an altitude from the right angle of any right triangle, then the two triangles formed are similar to the original triangle.

Also all the three triangles are similar to each other.

Like here, in the triangle ABC, we draw an altitude from A to the side BC, thus forming 2 triangles; ΔDBA and ΔDAC. These both will be similar to ΔABC.

So, by the theorem it is proven that  ΔABC is similar to ΔDBA.

Therefore, option A is correct.

The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...

... A = P(1 +r/n)^(nt)

Putting your given numbers into the formula, we have

... 876.34 = 300(1 +.06/4)^(4t)

Taking logarithms, this becomes the linear equation

... log(876.34) = log(300) + 4t·log(1.015)

Solving for t in the usual way, we get

... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right

... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t

It will take 18 years for the $300 CD to reach a value of $876.34.

9g = 3(5g - 4)

3g = 5g - 4

3g - 5g = -4

-2g = -4

g = -4/-2 = 4/2

Answer: g = 2

Let's solve your equation step-by-step.

9g=3(−4+5g)

Step 1: Simplify both sides of the equation.

9g=3(−4+5g)

9g=(3)(−4)+(3)(5g)(Distribute)

9g=−12+15g

9g=15g−12

Step 2: Subtract 15g from both sides.

9g−15g=15g−12−15g

−6g=−12

Step 3: Divide both sides by -6.

−6g /-6=-12/-6

g=2

Answer:

g=2

The number when the quotient of 5 times a number and 7 is equal to 10 will be 15. The correct option is D.

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

It is given that the quotient of 5 times a number and 7 is equal to 10. The number will be calculated as below:-

15 divided by 5 is 3 and 3+7 is equal to 10.

Therefore, the number when the quotient of 5 times a number and 7 is equal to 10 will be 15. The correct option is D.

To know more about quotient follow

https://brainly.com/question/673545

#SPJ2

Answer:

3.8 feet

Step-by-step explanation:

Given that the person is standing in a pool.  That means he is keeping his feet at the bottom level of the pool.  His height is 6.2 ft.  

Top of the person head above the surface of water= 2.8 feet.

Hence height of the person= Top of the person head above the surface of water+depth of the pool

6.2 = 2.8+depth of pool

Depth of pool = 6.2-2.8 = 3.4 feet.

the pool is four feet deep

Bobby built 12 forts

Answer:

12 forts

Step-by-step explanation:

6x2=12

B, D and F

to test for a solution, substitute the coordinates of the given point and if the inequality is true then the point is a solution

A(- 9, 8 ) : 18 - 24 = - 6 < 8 not a solution

B(- 4, 0 ) : 8 - 0 = 8 = 8 hence a solution

C(- 2, 5) : 8- 15 = - 7 not a solution

D(0, - 3 ) : 0 + 9 = 9 hence a solution

E(7, - 1 ) : - 14 + 3 = - 11 not a solution

F(- 3, - 2 ) : 6 + 6 = 12 hence a solution

Answer:

B, D and F

Explanation:

A(- 9, 8 ) : 18 - 24 = - 6 < 8 not a solution

B(- 4, 0 ) : 8 - 0 = 8 = 8 is a solution

C(- 2, 5) : 8- 15 = - 7 not a solution

D(0, - 3 ) : 0 + 9 = 9  is a solution

E(7, - 1 ) : - 14 + 3 = - 11 not a solution

F(- 3, - 2 ) : 6 + 6 = 12  is a solution

Answer:

28 minutes.

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

[tex]40-12=28[/tex]

Therefore, Lynn ran at a greater speed than Kael for 28 minutes.

Answer:

28 minutes

Step-by-step explanation:

Graph this compound inequality 2.5 is equal to or less than x is equal to or less than 4.5

2.5 <= x < = 4.5

We graph this inequality using number line.

Here x lies between 2.5  and 4.5

While graphing, we start with closed circle at 2.5 because we have equal symbol .

Then shade till 4.5. Use closed circle at 4.5.

The graph is attached below.

Answer:

its c

Step-by-step explanation:

for the rest of the question when it asks "which scenario fits the compound inequality?"

The prime factorization is ...

... 2²×3×7×11

Single-digit prime factors are ... 2, 3, 7

Single-digit divisors are ... 1, 2, 3, 4, 6, 7

The "intercept form" of the equation for a line is ...

... x/a + y/b = 1

where a and b are the x- and y-intercepts, respectively.

Dividing by -15 will put your equation into this form:

... 3x/-15 + 5y/-15 = 1

... x/(-5) + y/(-3) = 1

Your graph will go through the points (-5, 0) and (0, -3).

The function f(x) describes a parabola that opens downward. The only graph with that shape is the 2nd one.

_____

The degree of 2 on the x² term means there will be only 1 turning point (1 less than the degree). The bottom two choices have more turning points than that.

The minus sign on the coefficient of x² means the graph opens downward—that it tends toward -∞ when x gets very large in magnitude, either positive or negative.

The most accurate way to estimate 33% of 52 is explained as follows:

To find a percentage, we calculate it as follows:

a% of b [tex]=\frac{a}{100} \times b[/tex]

Now, lets convert 33% into fraction first:

33% [tex]=\frac{33}{100} =0.33[/tex]

Now,

[tex]0.33 \times 52=17.16 \approx 17[/tex]

We have two ways to calculate the same so we will compare the values of them and figure out which gives a value nearer to our actual value:

So, [tex]\frac{1}{3} \times51=17[/tex] and [tex]\frac{1}{3} \times 53=17.66[/tex]

We can see that the first method gives us a value which is far closer to the actual value.

Therefore, [tex]\frac{1}{3} \times 51[/tex] is the most accurate way to estimate 33% of 52.