Determine the area of the triangle.
67.7 square units
777.2 square units
135.5 square units
5.9 square units

Hi there!

[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]

f(x) = 7x - 4

Rewrite f(x) with y:

y = 7x - 4

Swap the x and y variables:

x = 7y - 4

Solve for y:

x + 4 = 7y

y = (x + 4)/7

Answer: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number

Step-by-step explanation: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number.what is the width

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

Answer: y/y+x

Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x

Answer:

1) a³b⁴/ ab³ = a²b

2)2 (x³ )² = 2x^6

3)3x*2x³ y² = 6x⁴y²

Answer:

y= -1/2x + 3

Step-by-step explanation:

A line that would be perpendicular to y=2x+17, means that the line has a negative reciprocal slope. So because the slope is 2 in the original equation, -1/2 would be the slope of the new line

so now, plug in the point (8, -1) into the point-slope formula

y-y1=m(x-x1)

y1= -1

x1= 8

m= -1/2

So,

y- -1= -1/2(x-8)

y+1=-1/2x + 4

Subtract 1 from both sides

y=-1/2x+3

Answer:

D

Step-by-step explanation:

time = 27 ÷ 3 × 2 = 9 × 2 = 18 minutes → D

Answer:

The answer is below

Step-by-step explanation:

You first divide 27/3

= 9

you divide it cause you know how many times you have done a lap every 2 minutes.

Now to find how long you took you times 9 by 2

= 18

Therefore Jose took 18 minutes to swim 27 laps

I would go with C as a first step

The correct answer is C (that is equating f(x) and g(x))

A quadratic polynomial has highest degree 2 and a linear polynomial has highest degree 1.

In geometric sense, solving them means finding the point of intersection of curves:

In X-Y plane, these polynomials can be written as:

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

Taking the value of y from second equation and substituting it in first equation we get,

[tex]-x^{2} +2x+3=-2x+3[/tex]

Therefore, with the above procedure, we got the first step of solving the equations with the help of substitution.

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Answer:

The formula for the circumference of a circle is  

2

π

r

so all we have to do is plug in 5 for our radius:  

2

π

(

5

)

which can be simplified to  

10

π

.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1) The vector CD is equal to (X-(-14); 13-6)= (x+14; 7)

2) The module of the vector CD is equal to diatance CD=25. It is equal to

 sqrt ((x+14)(x+14)+7*7) from the formula of module (with coordinates).

25= sqrt ((x+14)(x+14)+7*7)

625= (x+14)*(x+14)+49

625= x^2+28x+196+49

X^2+28X-380=0

a=1 b=28 c=-380

D= b*b-4ac= 28*28-4*1*(-380)= 784+1520= 2304

sqrt D= sqrt2304=48

x1= (-28-48)/2= -38

x2= (-28+48)/2= 10

But x1<0 it is negative and it is not suitable, x2>0 it is positive, so answer is 10.

Answer:

x > 5

Step-by-step explanation:

-5-7x < -40

Add 5 to each side

-5+5-7x < -40+5

-7x < -35

Divide by -7, remembering to flip the inequality

-7x/-7 > -35/-7

x > 5

Open circle at 5, going to the right

Answer:

I don't really know sorry

Answer:

Step-by-step explanation:

25*-30= -$750

Second: He sells 22 of those calculators for $35 each, so he is making money.

22*35= $770

Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.

3*-2= -6

Add all the costs and sales together, and you get 770-750-6= $14 profit

However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90

$90+$14= $104 profit

here u go

Answer:

-19 = b

Step-by-step explanation:

76 = -4b

Divide each side by -4

76/-4 = 4-b/-4

-19 = b

Answer:

b = -19

Step-by-step explanation:

76 = -4b

shift -4 to the left hand side and when you shift -4 divides 76

76/-4 = b

-19 = b

Answer:

25%

Step-by-step explanation:

1 dozen = 12

3 out of 12

3/12

Simplify

1/4

Multiply top and bottom by 25 to get a denominator of 100

25/100

25%

Answer:

The function f(x)=3x is an exponential function; the variable is the exponent. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. In fact, for any real number x, 1x = 1, so f(x)=1x is the same function as the constant function f(x) = 1.

Step-by-step explanation:

This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper

From the graph given, we can see that the line touches the x-axis at (9, 0). Hence the x-intercept of the line is at (9, 0).

Since x represents gallons of milk and y represents the packages of toilet paper, therefore from the coordinate x = 9 and y = 0. This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper

Learn more about y-intercept here: https://brainly.com/question/19072676

Answer:

5 < x < 21

Step-by-step explanation:

I did this bfore.

Answer:

I hope this helps!

Answer:

(a square +7a+12) ÷(a+3)

Answer:

12 mathletes is needed to solve 30 problems in 5 minutes

Step-by-step explanation:

8 athletes can solve 20 problems in 10 minutes

30-20=10

now we need 10 more problems to be solved so

20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems

Answer:

O I, II, and III only

Step-by-step explanation:

x-3 < 2

Add 3 to each side

x-3+3< 2+5

x<5

-3 is less than 5

0 is less than 5

2 is less than 5

5 is not less than 5

I , II , II are true

Answer:

jejejjejejr

Step-by-step explanation:

uejejjejejjsjs

Answer:

y = 3x-10

Step-by-step explanation:

When lines are parallel, they have the same slope

y = 3x+2 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

y = 3x+b

We have a point on the line

-1 = 3(3)+b

-1 = 9+b

-10 = b

y = 3x-10

Answer:

3.5 yards

Step-by-step explanation:

The value of c in the triangle ABC is 3.5 yds, Option A is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is ABC.

We have to find the length c in the triangle.

Now let us use sine rule to find the value of c.

c / sin 28° = 4 / sin 32°

The value of  sin 28° is 0.4695 and sin 32° is 0.5299

c / 0.4695 = 4 / 0.5299

Apply cross multiplication

c × 0.5299 = 4 × 0.4695

c × 0.5299 = 1.8636

Divide both sides by 0.5299

c = 1.8636/0.5299

c = 3.516

= 3.5 yds

Hence, the value of c in the triangle ABC is 3.5 yds, Option A is correct.

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