A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?

Polygons EFHG and E′F′H′G′ are shown on the following coordinate grid:

Brums [2.3K]

90 degrees counterclockwise rotation about the origin
(x,y) ....(-y, x)

E(2,2) to E'(-2,2)
F(2,4) to F'(-4, 2)

then translation 1 unit to the right
E'(-2,2) to E'(-1,2)
F'(-4, 2) to F'(-3, 2)

answer is

D.) A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right

3 0

3 years ago

Find three points of the linear equation -x-2y=-10

n200080 [17]

We can find 3 points by plugging them in

x = -12 y = 1
x = 10 y = 0
x = 0 y = 5

6 0

4 years ago

where do you see 14 = 2x + 6 in this hanger diagram? Are there different balanced moves to arrive at the same solution?

gavmur [86]

14=2x +6

14-6=2x+6-6

8=2x

x=2

8

x=4

3 0

3 years ago

Plzzzzz help just tell me a b c d for both of them ill give anyone brainliest too

Hoochie [10]

Question 1 (The wood question)

Answer: 14 7/8

Explanation: (see attached photo!)

Question 2 (The graph question)

Answer: multiply the number of weeks by 3

Explanation: Look at the point where it's between 2 and 4

I hope this helps!

4 0

3 years ago

In this question, i is a unit vector due east and j is a unit vector due north. A cyclist rides at a speed of 4 m/s on a bearing

d1i1m1o1n [39]

Answer:

a) 1.04i + 3.86j

b) magnitude = 8; bearing = 302.7°

Step-by-step explanation:

a)

The first diagram represents the velocity vector of the cyclist.

To express this vector in the form xi + yj, we have to find the components of the vector in the horizontal (i) and vertical (j) directions.

If we consider the horizontal component of the vector to be $x$ , and the vertical component to be $y$ , then:

• horizontal component ⇒ $sin (15^{\circ}) = \frac{x}{4}$

⇒ $x = 4\space\ sin(15^{\circ})$

⇒ $x \approx \bf 1.04$

• vertical component ⇒ $cos(15^{\circ}) = \frac{y}{4}$

⇒ $y = 4 \space\ cos(15^{\circ})$

⇒ $y \approx \bf 3.86$

Now that we have the values of both the horizontal and vertical component, we can write the vector in the form of xi + yj:

vector ⇒ 1.04i + 3.86j

b)

The second diagram shows the first vector (red), the second vector (blue), and the resultant vector v (black). The dashed lines represent the components of the respective vectors.

To add two vectors given their magnitudes and direction, we have to add their components.

In order to find the horizontal and vertical components of the given vectors, we can use a method similar to that used above, so that:

○ For the first vector (magnitude 6):

• horizontal component ⇒ $x = 6 \space\ sin (60^{\circ})$