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3 years ago

Your mother asked you turn the oven down to 325 f. This is 75 f less than it was. what was the original temperature.

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

Answer:

400

Step-by-step explanation:

325 + 75

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Find the equation of the line passing through points (-4,2) and (1,-6)

anzhelika [568]

Answer:

y + 6 = (-8/5)(x - 1) in point-slope form

Step-by-step explanation:

Moving from the 1st point to the first, we see that x (the 'run') increases by 5 from -4 to 1, and y (the 'rise') decreases by 8. Thus, the slope of the line through these two points is m = rise / run = -8/5

Now we have two points on the line, plus the slope. Let's write out the point-slope formula for the equation of a straight line:

y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.

Here, using the point (1, -6), we obtain:

y + 6 = (-8/5)(x - 1) in point-slope form

8 0

2 years ago

Given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)

denis-greek [22]

Answer:

The function of g(x) = 5x + 2

Step-by-step explanation:

Let us use the composite function to solve the question

∵ f(x) = 2x - 1

∵ f(g(x)) = 10x + 3

→ f(g(x)) means substitute x in f(x) by g(x)

∴ f(g(x)) = 2[g(x)] - 1

→ Equate the two right sides of f(g(x))

∴ 2[g(x)] - 1 = 10x + 3

→ Add 1 to both sides

∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1

∴ 2[g(x)] = 10x + 4

→ Divide each term into both sides by 2

∵ $\frac{2[g(x)]}{2}$ = $\frac{10x}{2}$ + $\frac{4}{2}$

∴ g(x) = 5x + 2

∴ The function of g(x) = 5x + 2

7 0

2 years ago

2 vertical buildings are 42 metres apart and the shorter building is 135m high. The angle of elevation from the top of the short

ipn [44]

Answer:

Step-by-step explanation:

base=42 m

height=h=?

base angle θ=60°

tan 60=h/42

h=42tan 60=42√3≈72.75 m

height of taller building=135+42√3 m≈135+72.75≈207.75 m≈208 m

6 0

2 years ago

I need 3 questions answered please.

kakasveta [241]

Answer:

$3) \: \: 113 {ft}^{2}$

$4) \: false$

$5) \: 70 {ft}^{2}$

Step-by-step explanation:

3) Area of a circle is

$\pi \times {r}^{2}$

Where r = 6

Thus,

$area = \frac{22}{7} \times {6}^{2}$

$area = \frac{22}{7} \times 36$

$area = 3.143 \times 36$

$area = 113 {ft}^{2} \: (nearest \: whole \: number)$

4) False

Area of a circle is measured by the formula below:

$area = \pi \times {r}^{2}$

5) The formula for calculating the area of a rectangle is given thus:

$area \: of \: a \: rectangle = l \times w$

Where, l = 10ft; w = 7ft

$area = 10ft \times 7ft = 70 {ft}^{2}$

8 0

3 years ago

What is the total area of this composite figure rounded to the nearest hundredth?

weqwewe [10]

Answer:

choice #4, total=31.14 mm^2

Step-by-step explanation:

14x2=28 is area of rectangle

1^2xPi=area of small circle

3.14=area of small circle

total=31.14 mm^2

7 0

3 years ago