Find the equation of the line.

Use exact numbers.

Y=___x+ ___

Please help

Answer:

[tex]x=-1;\ y=8\\x=5;\ y=2[/tex]

Step-by-step explanation:

You can make both equations equal and solve for the variable x, as you can see below:

[tex]-x+7=0.5(x-3)^2[/tex]

Keep on mind that:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex]-x+7=0.5(x-3)^2\\-x+7=0.5(x^2-2(x)(3)+3^2)\\-x+7=0.5x^{2}-3x+4.5\\0=0.5x^2-2x-2.5[/tex]

Apply the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-2)+/-\sqrt{(-2)^2-4(0.5)(-2.5)}}{2(0.5)}\\x=-1\\x=5[/tex]

Substitute each value into one of the originl equations to find y, then:

[tex]y=-(-1)+7=8\\y=-5+7=2[/tex]

Answer:

The solutions are (-1,8) and (5,2).

Step-by-step explanation:

Answer:

Step-by-step explanation:

one head is 1/2 tails twice is 1/4

multiply and get 1/8 but thats not the answer yet

a possibility could be htt or tht

so u muiltiply by number of possibilities of one head which 3!/2!

3/8

Answer:

[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.

Step-by-step explanation:

Probability : It is defined as the extent to which an event is likely to occur. That means, it is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

[tex]\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}[/tex]

We have : sample space = S =[HHH,HHT,HTH,HTT,THH,THT,TTH,TTT ]

Favorable outcomes of getting single head (H) = [HTT, THT, TTH]

Probability of getting single heads = P(H)

P(H) = [tex]\frac{3}{8}[/tex]

[tex]\frac{3}{8}[/tex] is the probability of getting exactly one heads.

Answer:

x = 5

Step-by-step explanation:

x/40 = 7/56

Reduce the right fraction.

x/40 = 1/8

Now cross multiply.

8x = 40

Divide both sides by 8.

x = 5

b. alternate angles are equal

hope this helps!!

b.) alternate angles are equal

If a transversal intersects two parallel lines, each pair of alternate angles are equal.

Given: Two parallel lines and a transversal.

Prove: Each pair of alternate angles are equal (same degrees).

Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal

Try using a protractor to measure the angles to prove that they have the same angle degrees.

Answer:

4

Step-by-step explanation:

Answer: k= around -9.33

Step-by-step explanation:

-42-7k=14-k

Move the terms

-7k+k=14+42

collect the like terms

calculate the sum

-6k=56

divide both sides by -6

k=-28/3

alternative form

-9.33

A hundredth is 0.01

A hundred is 100.

You look at the digital to the right of the 1, in the example above. If that digit is 5 or greater, round up, other round down.

In both cases, you will look at the 0, therefore you would round down.

1800 to the nearest hundredth is 1800.00.

1800 to the nearest hundred is 1800.

Answer:

It's the 2nd one.

Step-by-step explanation:

-1 1/8, - 5/8, 0, 1/2, and 6.

Answer:

366 muffins

Step-by-step explanation:

28 x 12 = 336

5 x 6 = 30

336 + 30= 366 muffins

The total number of muffins the store ordered is, 366

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each.

Hence, Number of banana muffins is,

⇒ 28 x 12 = 336

And, Number of blueberry muffins is,

⇒ 5 x 6 = 30

Thus, The total number of muffins the store ordered is,

336 + 30 = 366 muffins

Learn more aboput the multiplication visit:

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reflection is when a shape is flip on the x or y axis and changes the original points to a new point

Answer:

See below  

Step-by-step explanation:

A reflection is a mirror flip of an object across a line (called a mirror line or a line of reflection).

In the diagram, Points A, B, and C in the object are the same distance from the mirror line as Points A', B', and C' in the mirror image.

Answer:

1/4

Step-by-step explanation:

Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6

The probability of getting odd numbers on both is:

3/6 ⋅ 3/6 = 9/36 = 1/4

Answer:

The tree grew 8 and 3/4 inches.

Step-by-step explanation:

To get this answer, first subtract the whole numbers.

21 - 12 = 9

Now do the same with the fractions.

1/8 - 3/8 = -2/8

Now add those two together.

9 - 2/8 = 8 6/8 = 8 3/4

Answer:

256/81

Step-by-step explanation:

The exact form is 256/81.

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex](- \frac {3} {4}) ^ {- 4}[/tex]

We can rewrite it as:

[tex](- \frac {3} {4}) ^ {- 4} = \frac {1} {(- \frac {3} {4}) ^ {4}} = \frac {1} {\frac { 3 ^ 4} {4 ^ 4}} =[/tex]

Applying double c we have:

[tex] \frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}[/tex]

Answer:

Option D

Answer:

50 pairs

With the sum of 99, we will get 50 pairs whole numbers. Why? Therefore, if you're going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99

Answer:

9

Step-by-step explanation:

If original rect was 5 square units and if new rect is 45 square units, then

scale factor  = 45/5 = 9

Answer:

The scale factor is 3

Step-by-step explanation:

The area of rectangle N is 5 units

The area of rectangle P is 45 units

Distance is times the scale factor

Area is times the scale factor squared

Volume is the scale factor cubed

Area of rectangle N * scale factor  squared = Area of rectangle P

5 * SF ^2 = 45

Divide each side by 5

5/5 * SF ^2 = 45/5

SF ^2 = 9

Now we need to take the square root of each side to find the scale factor

sqrt(SF ^2) = sqrt(9)

SF = 3

Answer:    13

Step-by-step explanation:

you subtract 15 and 2 you will get 13

The slower plane is flying at a speed of 380 mph and the faster plane is flying at a speed of 420 mph.

For your question, we can use the rates, times, and distances properties for the two planes.

Scene: Two planes are flying towards each other, so their speeds will add up. Their total combined distance covered will be 1680 miles (they cover this in 2 hours). As stated, the speed difference between the two planes is 40 mph.

Let's denote the slower plane's speed as x (in mph) then the speed of the faster plane will be x + 40 mph.

For each plane, we know that distance = speed * time, so over those 2 hours, the slower plane travels 2x miles and the faster one travels 2*(x + 40) miles. The total distance both planes traveled is 1680 miles, so we can set up the following equation:

2x (slower plane's distance) + 2(x + 40) (faster plane's distance) = 1680

Solving this equation for x, we get x = 380 mph. Therefore the slower plane speed is 380 mph and the faster plane speed is 380 mph + 40 mph = 420 mph.

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Answer:

The answer is D

(x=3, y=8)

Step-by-step explanation:

We want to reduce as many variable as we can so, we can obtain the value for the remaining variables.

Therefore, the first equation y=x+5 multiply it -2., you have -2y=-2x-10 and sum it to the second (2y-x=13), you will obtain the following: -x=13-2x-10.

You have x=3.

If you substitute x=3 in the first equation, you have y=8

Answer:

10+x/6

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

If you look it has 2 rectabgular shaped at the top and bottom of the net allowing it to make the rectangular sides on number 3. Good Luck! Hope this helps.

Answer:

Uhm I very late but I u can give them the crown lol also was that answer correct? I’m on it right now-

Step-by-step explanation:

your answer will be a=1 b=1 c= -4

Answer:

169pi feet^2.

Step-by-step explanation:

The diameter = 26pi / pi = 26 feet and the radius = 13 feet.

The area  = pi r^2 = 13^2 pi

= 169pi feet^2

The area of the circle should be [tex]169\pi feet^2.[/tex]

The circumference is 26 pi feet

Since the circumference is 26 pi feet

We know that

Circumference = [tex]2\pi r[/tex]

So,

[tex]26\pi = 2\pi r[/tex]

So radius be 13

Now the area should be

[tex]= \pi 13^2\\\\= 169\pi feet^2[/tex]

Learn more about the circle here: https://brainly.com/question/11508323

Answer:

40 mph

Step-by-step explanation:

120/3=40

Answer:

A: 1,400

Step-by-step explanation:

$196 * 7 = 1365

rounded up to 1,400

Answer:  AC = 15, BD = 7.2

Step-by-step explanation:

Use Pythagorean Theorem to solve for AC:

AB² + BC² = AC²

12² +  9²  = AC²

144 + 81  = AC²

        225 = AC²

      √225 = √AC²

          15 = AC

To solve for BD, set up a proportion using the the small side and hypotenuse of ΔABC and ΔADB.

[tex]\dfrac{s}{h}:\dfrac{9}{15}=\dfrac{BD}{12}[/tex]

      [tex]\dfrac{9(12)}{15}=BD[/tex]

            7.2 = BD

Answer:

m<A = 133

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

That means that m<A + m<C = 180.

m<A + m<C = 180

4x + 5 + x + 15 = 180

5x + 20 = 180

5x = 160

x = 32

m<A = 4x + 5

m<A = 4(32) + 5

m<A = 128 + 5

m<A = 133

Answer:

Yes

Step-by-step explanation:

Multiply 4/5 so that they have a common denominator.

14/15 > 12/15 (4/5)

yes, 14/5 is larger than 4/5

Answer:

Its x/2 = -25 because if you transpose 2 to the other side, it'll become -25*2 which is equal to -50

Answer:

x/2 = -25

Step-by-step explanation: