Consider the following linear system.

Short answer yes its true

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Answer:

the answer is A

Step-by-step explanation:

Answer:

C. zero

Step-by-step explanation:

a * (-b/b)

-b/b = -1

a* -1

If a = 0 then

0 * -1 = 0

Answer:

0

Step-by-step explanation:

pls give brainliest

d: -5_<x<1

r: -4_<y<7

D: negative five is less than or equal to x is less than one

R: negative four is less than or equal to y is less than seven

Answer:

8

Step-by-step explanation:

→ Use trigonometry to find x, we have no hypotenuse so we utilise the TOA formula

TOA = Tan = Opposite ÷ Adjacent

→ The opposite of the triangle is 8√3 and we want to find the adjacent of this triangle so we rearrange

Opposite ÷ Tan

→ Substitute in the values

8√3 ÷ tan(60) = 8

Answer: (6, -3)

(x^2-4x+4)/16-(y^2+6y+9)/25 = 1

x = 6

y = -3

6^2 = 36

4 * 6 = 24

36 - 24 = 12

12 + 4 = 16

16/16 = 1

-3^2 = 9

6 * -3 = -18

9 - 18 = -9

-9 + 9 = 0

0/25 = 0

1 - 0 = 1

I really hope this helped, at least a little bit.

The coordinates of the center of the hyperbola is  (6,-3).

Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".

According to the question,

[tex]\frac{(x-2)^2}{4^2}[/tex]  -  [tex]\frac{(y+3)^2}{5^2}[/tex] = 1

Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex]  -  [tex]\frac{(y-h)^2}{b^2}[/tex]  = 1.

The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.

From above discussion we get clearly the coordinate of hyperbola is

(6-3).

Learn more about hyperbola here

https://brainly.com/question/10336462

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Answer: -2y -8x = 4

Step-by-step explanation:

y - 6x - 11 - 2x - 3y = -7

y -3y -6x -2x = -7 +11

-2y -8x = 4

Answer:

≈ 93.06 cm²

Step-by-step explanation:

Subtract the area of the rectangle from the area of the circle

area of circle = πr² = π × 8² = 64π cm²

area of rectangle = 12 × 8 = 108 cm²

Thus

shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )

Answer:

The area of the shaded region = area of the circle - area of the rectangle

area of circle = πr² = π × 8² = 201.14 cm²

area of rectangle = 12 × 2 = 24 cm²

shaded area = 201.14 - 24 ≈ 177.14 cm²

Answer:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Step-by-step explanation:

[tex]x+2y=-8 \\\\y=12x-2[/tex]

Substitute:

[tex]x+2(12x-2)=-8[/tex]

Expand:

[tex]x+24x-4=-8[/tex]

Simplify:

[tex]25x=-4[/tex]

Divide both sides by 25:

[tex]x=-\dfrac{4}{25}[/tex]

Plug this back into one of the original equations to find y:

[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]

The ordered pair that represents this solution is therefore:

[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]

Hope this helps!

Answer: The speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Step-by-step explanation:

Since we have given that

Speed of train = 100 miles per hour

Speed of girl = 5 miles per hour

Since the girl is moving towards the back of train.

So,it means train and girl are moving in opposite direction.

So, Relative speed would be

[tex]100+5=105\ miles/hr[/tex]

Hence, the speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Answer:

-22 1/2

Step-by-step explanation:

-2 1/2 *s

Let s = 9

-2 1/2 (9)

Change to an improper fraction

-5/2 *9

-45/2

Change back to a mixed number

-22 1/2

Answer: y<-12

Step-by-step explanation:

[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.

[tex]y>-12[/tex]

You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].

Answer:

a=7

Step-by-step explanation:

7(a – 10) = 13 – 2(2a + 3)

Open the bracket

7a-70=13-4a-6

Collect like terms

7a+4a=13-6+70

11a=77

divide both sides by 11

11a/11=77/11

a=77/11

a=7

Answer:

The second one

Step-by-step explanation:

Answer: YOUR ANSWER IS -3

Step-by-step explanation:

4y + 4 = -8

     -4     -4

___________

4y = -12

Divide -12 by 4

Y = -3

Answer:

The bus will travel 20km within 15 minutes

Step-by-step explanation:

Answer: 20 km

Step-by-step explanation:

Distance = speed / time

Answer:

(a, 0), (0, b), (-a, 0), (0, - b)

Step-by-step explanation:

Since, all vertices of the rhombus lie in the x and y axes.

x - axis is given by a and y - axis is given by b.

Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).

Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

Step-by-step explanation:

The starting amount is the coefficient of the exponent which is 595.

The growth factor is 1.075 and the growth rate would be 7.5%.

There are 2 factors in the equation.

Answer: -4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Square root of 3 is between 1 and 2

1^2 =1

(sqrt(3)) ^2 =3

2^2 = 4

So it must be point B

Answer:

B

Step-by-step explanation:

Answer:

8.75° south of west

26.3 mph

Step-by-step explanation:

Let's say that east is +x and north is +y.

The sailor's horizontal velocity is -26 mph.  The vertical velocity is -4 mph.  So the velocity vector is in the 3rd quadrant.  The direction is:

θ = tan⁻¹(-4 / -26)

θ = 188.75°, or 8.75° south of west.

The magnitude of the speed is:

v = √((-4)² + (-26)²)

v = 26.3 mph

Answer: 6.452cm.

As 1 decimal place it would be 6.5cm.

Answer:

6.9 cm

Step-by-step explanation:

a^2 + b^2 =C^2

a^2 + b^2 = 8^2

6.9^2 +4^2 =64

47.61 + 16 = 64

47.61  about 48

Answer:

a−b=aa=1

Step-by-step explanation:

Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.

Answer:

y+5 = 2x

Step-by-step explanation:

The point slope form of an equation is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -5 = 2(x-0)

y+5 = 2x