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3 years ago

‐67.8 ‐ 5.72 show your steps

Mathematics

1 answer:

Lerok [7]3 years ago

8 0

Answer:

−73.52

Step-by-step explanation:

-67.8

- 5.72

_____

-73.52

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What is y=3x-4 on a graph?

jarptica [38.1K]

The point ends up being ( 1, -1) and if you're graphing it you would put a dot on 1 and -1 on your graph and put a line connecting them (hope this helps)

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4 years ago

Apply the product rules to determine the sign of each expression

sammy [17]

Answer:

Step-by-step explanation:

1). $(\frac{-4}{9})\times (\frac{7}{4})=(-1)(\frac{4}{9})(\frac{7}{4} )$

$=-\frac{7}{9}$ [Negative]

2). $(-2\frac{3}{4})(-1\frac{1}{5})=(-1)(2\frac{3}{4})(-1)(1\frac{1}{5})$

$=(-1)^2(2\frac{3}{4})(1\frac{1}{5})$

$=(2\frac{3}{4})(1\frac{1}{5})$ [Positive]

3). (3)(-3)(-3)(-3)(-3) = 3.(-1).3.(-1).3.(-1).3(-1).(3)

= (-1)⁴(3)⁵

= (3)⁵ [Positive]

4). $(-\frac{1}{6})(-2)(-\frac{3}{5})(-9)$ = $(-1)(\frac{1}{6})(-1)(2)(-1)(\frac{3}{5})(-1)(9)$

= $(-1)^4(\frac{1}{6})(2)(\frac{3}{5})(9)$

= $(\frac{1}{6})(2)(\frac{3}{5})(9)$ [Positive]

5). $(-\frac{4}{7})(-\frac{3}{5})(-9)=(-1)(\frac{4}{7})(-1)(\frac{3}{5})(-1)(9)$

$=(-1)^3(\frac{4}{7})(\frac{3}{5})(9)$

$=-(\frac{4}{7})(\frac{3}{5})(9)$ [Negative]

6). $(-\frac{10}{7})(\frac{8}{3})=(-1)(\frac{10}{7})(\frac{8}{3})$

$=-(\frac{10}{7})(\frac{8}{3})$ [Negative]

3 0

3 years ago

Read 2 more answers

Given that B, D and F are midpoints, find the length of segment DA.

TiliK225 [7]

Answer:

The length of segment DA is 15 units

Step-by-step explanation:

The segment which joining a vertex of a triangle and the midpoint of the opposite side to this vertex is called a median

The point of intersection of the median of a triangle divides each median into two parts the ratio between them is 1: 2 from the base, which means the length of the median is 3 times the part from the base

Let us use this rule to solve the question

In Δ AEC

∵ D is the midpoint of EC

∴ AD is a median

∵ B is the midpoint of AC

∴ EB is a median

∵ F is the midpoint of AE

∴ CF is a median

→ The three medians intersected at a point inside the triangle,

let us called it M

∵ AD ∩ EB ∩ CF at M

∴ M is the point of intersection of the medians of Δ AEC

→ By using the rule above

∴ AD = 3 MD

∵ MD = 5

∴ AD = 3(5)

∴ AD = 15 units

6 0

3 years ago

Read 2 more answers

Lettuce is packaged 4 bags to a box. If there are 3.5 boxes of lettuce in the cooler how many bags of lettuce are there

antiseptic1488 [7]

If there are 4 bags of lettuce per whole box, 4 x 3 = 12
Then you must factor in the half of a box that can still contain lettuce, 4 ÷ 2 = 2
Which means that you would have 14 bags of lettuce total.
4 x 3 = 12
4 ÷ 2 = 2
12 + 2 = 14

8 0

3 years ago

Which is the equation of the graph

oksano4ka [1.4K]

I'm guessing the last value you have down there that got cut off was the one we want. We need to set up the general form of the absolute value equation and then solve it for a: $y=a[x-h]+k$ . I have no absolute value symbols so I just used brackets. We have a vertex (h, k) of (0, 0) and I picked a point on the graph to use as my x and y coordinates (4, 3). Let's fill in the equation now: $0=a[0-4]+3$ . We will subtract 3 from both sides leaving -3 = a[-4]. The absolute value of -4 is 4 so now we have -3 = 4a. Divide by 4 to solve for a. $a=- \frac{3}{4}$ . So our equation is $y=- \frac{3}{4}[x]$

8 0

3 years ago