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The amount of terms in the algebraic expression is D.4

Question

What is the image of (-5,5) after a dilation by a scale factor of 4 centered at the
origin?

Solution 1

The **image **of (-5,5) is (-20, 20).

Its **image **refers to the new position of a point, line, line segment, or figure following a **transformation**.

for instance, the image of the **triangle **A'B'C following translation is the **triangle **A'B'C. The images of **points **A, B, and C are represented by the letters A, B, and C. The images of the original line segments AB, BC, and AC are represented by the line **segments **A'B', B'C', and A'C', respectively.

Given coordinates (-5,5) **dilation **by a scale factor of 4 centered at the

origin, If a point's **preimage **is P(x, y), then its image after a dilation with a scale factor of k and centered at the **origin **(0, 0) is P′(kx, ky).

Using this **rule **we can find the image of (-5 , 5)

Here P(x , y) = (-5 , 5) and k = 4

So P'(x , y) = 4(-5 , 5) = (-20, 20)

Hence the new **coordinates **are (-20, 20).

Learn more about** image point;**

#SPJ2

Solution 2

**Answer:**

**x**=-5 and y=5

It's too short. Write at least 20 characters to explain it well.

Question

What is the equation of the line with the
slope of 9 and the y-intercept of 13?

Solution 1

**Answer:**

y=9x+13

**Step-by-step explanation:**

Slope Int Formula is y=m(x)+b

M(x) represents the slope

B represents the y intercept

Plug in the information you know.

y=9x+13

Question

8, 6, 4, 2, 0, . . . Whats the value of the next sequence

Solution 1

**Answer:**

-2, -4, -6, -8, -10......

**Step-by-step explanation:**

**The sequence is in a decreasing order of -2 for the next sequence.**

Solution 2

Answer:

-2

step by step explanation

a=t1=8

t2=6

d=t2-t1=6-8=-2

A/c, t6=a+5d=8+5(-2)=8-10=-2

Question

Rewrite the expression in the form y^n
y^-7/y^-11

Solution 1

**Answer:**

**Step-by-step explanation:**

Using the rule of exponents

=

Given

=

= =

Question

Write y=2(x + 6)(x + 3) in standard form

Solution 1

**Answer:**

y = 2x² + 18x + 36

**Step-by-step explanation:**

Given

y = 2(x + 6)(x + 3) ← expand the factors using FOIL

y = 2(x² + 9x + 18) ← distribute parenthesis by 2

= 2x² + 18x + 36 ← in standard form

Question

A pilot flying at an altitude of 3.7 km sights 2 control towers directly in front of him. The angle of depression to the base of one tower is 3
the angle of depression to the base of the other tower is 35.
Part A: Find the distance the plane will travel to fly over the first tower.
Round to the nearest hundredth.
Part B: Find the distance the plane will travel to fly over the second tower.
Round to the nearest hundredth.

Solution 1

**Part A; The plane will have to travel 70.61 km to fly over the first tower**

**Part B; The plane will have to travel 5.28 km to fly over the second tower**

**Step-by-step explanation:**

**Step 1;** Assume the plane is x km away from the control tower. We know it is flying at a height of 3.7 km and an angle of depression of 3°. So a right-angled triangle can be formed using these measurements. **The triangle's opposite side measures 3.7 kilometers while the opposite side measures x kilometers. The angle of the triangle is 3°**

**Step 2;** Since we have the length of the opposite side and the angle of the triangle, we can determine the tan of an unknown angle.

tan 3°= , x = , tan 3° = 0.0524,

**x = 70.6106 kilometers. **

**So the plane must travel 70.61 km to fly over the first tower.**

**Step 3**; Assume the plane is y km away from the control tower. We know it is flying at a height of 3.7 km and an angle of depression of 35°. So a right-angled triangle can be formed using these measurements. **The triangle's opposite side measures 3.7 kilometers while the opposite side measures y kilometers. The angle of the triangle is 35°**

**Step 4;** Since we have the length of the opposite side and the angle of the triangle, we can determine the tan of an unknown angle.

tan 35°= , y = , tan 35° = 0.7002,

**y = 5.2842 kilometers. **

**So the plane must travel 5.28 km to fly over the second tower.**

Question

40.4 Kilograms round to the nearest hundreth

Solution 1

**Answer: 40.4 rounded to the nearest hundredth would be 40.40**

**Step-by-step explanation: There is no oneth in decimals so it goes from tenth, to hundredth, to thousandth. Since there is no number in the hundredth or thousandth's space, you would put a zero in both spots. zero in the thousandths is NOT greater than 5 so the zero in the hundredths space will stay as a zero, making the answer 40.40**

Solution 2

**Step-by-step explanation:**

40.4 kg = 40.40 kg which is rounded to the nearest hundreth.

Question

Evaluate tan-1(tan (15)

Solution 1

**Answer:**

1.33313073483

**Step-by-step explanation:**

Question

Evaluate cos(sin^-1(4/5)

Solution 1

**Step-by-step explanation:**

Question

Which two reactans can be used to make the salt called sodium chloride

Solution 1

**Answer:**

Sodium and Chlorine

**Step-by-step explanation:**

Hence the name sodium chloride or salt

Solution 2

A combination reaction is one in which two or more substances (the reactants) are combined directly to form a single product (the product). An example is the reaction in which sodium (Na) combines with chlorine (Cl 2 ) to form sodium chloride, or table salt (NaCl)

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