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4 years ago

If x = -2, then x2-7x+10 equals 00 O 20 028

Mathematics

2 answers:

sleet_krkn [62]4 years ago

7 0

20, you just need to substitute the x value in the equation
(-2)2-7(-2)+10=
=20

gizmo_the_mogwai [7]4 years ago

4 0

Answer:

Step-by-step explanation:

x^2-7x+10

Substitute x = -2

(-2)^2 -7(-2) +10

Exponents and multiplication

4 +14+10

Add

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Which one of the following distances is the longest. .1 meter, .001 km, 101 mm or 101 cm

olga nikolaevna [1]

Answer:

101cm

1000m= 1km,

When 1m is converted to km, it gives 0.001km=101mm.

Therefore the longest is 101cm because when we convert, we will get 1.1m.

Hope this answer will help

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4 years ago

What are the perimeter and area of a rectangle with a length of 20in and a with of 15in?

Shtirlitz [24]

Perimeter - 70 square units
Area - 300 cm squared

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3 years ago

Can anyone tell me the standard form of this parabola equation?

irina [24]

Answer:

$x=4y^2-24y+30$

$(x-4.5)^2+(y-2.5)^2=23$

Step-by-step explanation:

Standard form of a sideways parabola: $x=ay^2+by+c$

Given equation:

$4y^2-x-24y+30=0$

Add x to both sides:

$4y^2-24y+30=x$

$\implies x=4y^2-24y+30$

--------------------------------------------------------------------------------------------

<u>Standard form of circle equation</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a,b) is the center and r is the radius)

Given equation:

$2x^2+2y^2-18x-10y+7=0$

Group like terms:

$2x^2-18x+2y^2-10y+7=0$

Divide by 2:

$x^2-9x+y^2-5y+3.5=0$

Factor by completing the square for each variable:

$(x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0$

Rearrange into standard form:

$(x-4.5)^2+(y-2.5)^2=23$

Therefore, the circle has a center at (4.5, 2.5) and a radius of √23

7 0

2 years ago

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

3 years ago

A tube feeding formula contains 6 grams of protein per each 80 ml of the formula. If the patient needs 120 grams of protein per

Anit [1.1K]

Answer:

1600 ml.

Step-by-step explanation:

Let x represent amount of tube-feeding formula.

We have been given that a tube feeding formula contains 6 grams of protein per each 80 ml of the formula.

To solve our given problem, we will use proportions as:

$\frac{x}{\text{120 gram}}=\frac{\text{80 ml}}{\text{ 6 grams}}$

$\frac{x}{\text{120 gram}}*\text{120 gram}=\frac{\text{80 ml}}{\text{ 6 grams}}*\text{120 gram}$

$x=\text{80 ml}*20$

$x=\text{1600 ml}$

Therefore, the patient should get 1600 ml of tube feeding formula every day.

3 0

3 years ago