8 + 4(5 + 9s) = ???

Answer:

x=-3 y=-6

Step-by-step explanation:

solve for y on the first equation then plug the answer into the second

That's a Congruent Triangle question.

The first thing that we should to analize is it: What figure is EFGH? The question say for us that [tex]\overline{EF} \cong \overline{GH}[/tex] and [tex]\overline{EH} \cong \overline{GF}[/tex], therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).

Now, we should to proof that [tex]\triangle EFH \cong \triangle GHF[/tex]. The simbol "≅" means congruence, that is, [tex]\triangle EFH \cong \triangle GHF[/tex] means that the triangles EFH and GHF are equals.

Let's proof:

[tex]\overline{HF}[/tex] is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore, [tex]E\hat{F}H \cong F\hat{H}G[/tex] and [tex]E\hat{H}F \cong H\hat{F}G[/tex].

Both triangle has a comum side: the diagonal [tex]\overline{HF}[/tex]. The diagonal [tex]\overline{HF}[/tex] is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that [tex]\triangle EFH \cong \triangle GHF[/tex].

Answer:

D

Step-by-step explanation:

If the percent change is 30 to 36 you can already see that it is an increase

here is the work

36 - 30

30

x 100% = 20%

Answer:

20% increase, which corresponds to the light

Step-by-step explanation:

(y - x)/x * 100

(36 - 30)/30 * 100

(6 * 100)/30

600/30

20% increase

Answer:

193102

Step-by-step explanation:

245771-52669=193102

Answer:

A.

Step-by-step explanation:

Answer:

First one

Step-by-step explanation:

Y=1/2x+4

Answer:

NOT a single ordered pair satisfies the equation.

Step-by-step explanation:

Given the equation

[tex]x^2+y^2=100[/tex]

Let us substitute all the given ordered pairs to find which ordered pair satisfies the equation.

For (0, -100)

[tex]x^2+y^2=100[/tex]

substitute x=0 and y=-100

[tex]0^2+\left(-100\right)^2=100[/tex]

[tex]10000=100[/tex]

FALSE

Thus, the ordered pair (0, -100) does NOT satisfy the equation.

For (10, -10)

[tex]x^2+y^2=100[/tex]

substitute x=10 and y=-10

[tex]10^2+\left(-10\right)^2=100[/tex]

[tex]200=100[/tex]

FALSE

Thus, the ordered pair (10, -10) does NOT satisfy the equation.

For (25, 75)

[tex]x^2+y^2=100[/tex]

substitute x=25 and y=75

[tex]25^2+\left(75\right)^2=100[/tex]

[tex]6250=100[/tex]

FALSE

Thus, the ordered pair (25, 75) does NOT satisfy the equation.

Therefore, NOT a single ordered pair satisfies the equation.

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

Work Shown:

Compute the function value at the endpoints

[tex]f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\[/tex]

With a = -5 and b = 4, we have

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\[/tex]

So,

[tex]f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\[/tex]

Use algebra to solve for c

[tex]-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\[/tex]

a) f(4) = 3*4 - 4

          = 8

b) h(-3) = 5 - ( - 3)

             = 5 + 3 = 8

c) h(4) - f(-5) = 1 + ( -19)

                     = -18

have a nice day <3

Answer:

use desmos graphing and put (3,8) and y=5x-4 it help me

Answer:

7%

Step-by-step explanation:

Step one:

given data

The original cost of Sam’s investment is $10,000

Sam calculated his real return to be $10,700

Required:

the interest made from the investment is

10700-10000= $700

Step two:

The ROI is a percentage that tells us the interest made

interest/investment*100

=700/10000*100

=0.07*100

= 7%

The ROI is 7%

Answer:

0.6, 3/5

Step-by-step explanation:

60%=

100% * 60/100=

1*60/100=

60/100=6/10=0.6

6/10=3/5

Soo, since it's 25% off, I multiplied 27x0.75, and I got 20.25

Soo, the answer is $20.25

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

B

Step-by-step explanation:

We start by finding a solution to the linear inequality

6x-12 > -6

6x > -6 + 12

6x > 6

x > 6/6

x > 1

The correct number line is one with value at 1, facing the right and unshaded

Answer:

3052.08

Step-by-step explanation:

We use the volume formula for spheres

[tex]\frac{4}{3}[/tex]πr³

Plug in 9cm for radius and evaluate

[tex]\frac{4}{3}[/tex]π(9)³

[tex]\frac{4}{3}[/tex]π*729

3052.08

Given:

Focus of a parabola = (0,2)

Directrix: y=0.

To find:

The equation of parabola.

Solution:

The equation of parabola is

[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]       ...(i)

where, (h,k) is vertex, (h,k+p) is focus, y=k-p is directrix.

Focus : [tex](h,k+p)=(0,2)[/tex]

On comparing both sides, we get

[tex]h=0[/tex]

[tex]k+p=2[/tex]          ...(ii)

On comparing y=k-p and y=0, we get

[tex]k-p=0[/tex]          ...(iii)

Adding (ii) and (iii), we get

[tex]2k=2[/tex]

[tex]k=1[/tex]

Putting k=1 in (ii).

[tex]1+p=2[/tex]

[tex]p=2-1[/tex]

[tex]p=1[/tex]

Putting h=0, k=1 and p=1 in (i).

[tex]y=\dfrac{1}{4(1)}(x-(0))^2+(1)[/tex]

[tex]y=\dfrac{1}{4}x^2+1[/tex]

Therefore, the equation of required parabola is [tex]y=\dfrac{1}{4}x^2+(1)[/tex].

Answer:

48

Step-by-step explanation:

The area is multiplying.

12 x 4 = 48

Hope It Helps

Sorry If I'm Wrong

Answer:

4

Step-by-step explanation:

5-1=4

Answer:

B)

Step-by-step explanation:

Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.

Answer:

Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.

Step-by-step explanation:

Given that:

M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.

Here,

n means the number of drive.

The statement is given

M(10) = K

10 represents the nth drive of Jayce's.

Therefore,

The given statement represents Jayce's fee for his 10th drive is equal to K dollars.

Hence,

Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.

Answer:

Step-by-step explanation:

[tex] \ slope\: = \frac{different \: \: in \: y}{different \: in \: x}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{(4 - w)}{(9 - 7)} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{4 - w}{2} [/tex]

Answer:

Step-by-step explanation:

3x + 4 = - 11

3x = - 11 - 4

3x = - 15

x = - 15/3

x = - 5

Answer:

x = -5

Step-by-step explanation:

3x + 4 = -11

Isolate 3x.

3x = -11 - 4

Evaluate.

3x = -15

Find x.

x = -15 ÷ 3

x = -5

Answer:

Dividing

Step-by-step explanation:

Answer:

5x + 8

Step-by-step explanation:

To create an equivalent expression, we are going to simplify the expression as far as we can. To do this, we are going to first distribute what we can.

1. 4(3x+2) -7x

2. Distribute the 4.

3. 12x + 8 - 7x

4. Combine like terms.

5. 12x - 7x = 5x

6. 5x + 8

Answer:

The mass of 10mL of this liquid would be 25g.

Step-by-step explanation:

The formula for mass in relation to density and volume is:

mass=Density*volume

Knowing this, we could plug in the given volumes and solve:

m=Dv

m=(2.5g/mL)*(10mL)

m=25g

I hope this helps!

Answer:

explain please and thank you

Answer:

Jared's doctor recommends he consume 30 grams of fiber each day.

Step-by-step explanation:

Jared's doctor recommends he consume 30 grams of fiber each day. We know this is the answer because, if we divide 12 grams by 40%, we get 30 grams which means, 12 grams is 40% of 30 grams.

Answer:

30 grams

Step-by-step explanation:

Let the doctors recommendation be

12g = 40/100 × x

x = 12g ÷ 40/100

x = 12g × 100/40

x = 12g × 5/

x = 60g/

x = 3g

Answer:

8

Step-by-step explanation:

y=kx where k is a constant.

72=12k

k=72/12=6

y=6x

48=6x

x=48/6=8

Answer:

12 days

3 degrees

Step-by-step explanation:

Let y be the temperature of the cities after x days have passed.

Temperature of New York City

[tex]y=-3+\dfrac{1}{2}x[/tex]

In Juneau the temperature falls by 1 degree per 4 days. So, in 1 day the temperature falls be [tex]\dfrac{1}{4}[/tex] degree.

The minus sign is due to the fact that the temperature is falling

Temperature in Juneau Alaska

[tex]y=6-\dfrac{1}{4}x[/tex]

We need to find the value of x for which y will be equal

[tex]-3+\dfrac{1}{2}x=6-\dfrac{1}{4}x\\\Rightarrow \dfrac{1}{2}x+\dfrac{1}{4}x=6+3\\\Rightarrow \dfrac{3}{4}x=9\\\Rightarrow x=\\\Rightarrow x=9\times \dfrac{4}{3}\\\Rightarrow x=12\ \text{days}[/tex]

[tex]y=-3+\dfrac{1}{2}x=-3+\dfrac{1}{2}\times 12\\\Rightarrow y=3\ \text{degrees}[/tex]

Hence, in 12 days the temperature will be same in both the cities will be 3 degrees.

The minimum number of hours is 5/6 and the inequality is x ≥  5/6 hours.

An inequality is a relationship that compares two numbers and perhaps other mathematical expressions that are not equal. It is most commonly used to compare the sizes of two numbers on a number line.

Let x = the number of hours practicing the drums

we know that Julian needs to spend at least seven hours each week practicing

the drums x ≥ 7  hours

He has already practiced 5*(1/3) hours this week.

Convert mixed number to an improper fraction 5*(1/3)  = 16/3hours.

Subtract 16/3 from 7,

7 - (16/3)

= 5/3

Divide 5/3 by 2,

(5/3)/2

=5/6

Hence,

The inequality that represent the minimum number of hours he needs to practice on each of the two days is x ≥  5/6 hours.

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ4

The given question is not complete.

Julian needs to spend at least seven hours each week practicing the drums. He has already practiced 5 1/3 hours this week. He wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours he needs to practice on each of the two days.