Help me with this questions 5

Answer:

B) Slope = 2.5, y-intercept = –5

Step-by-step explanation:

Given the following points on the grid, (-1.5, -8.75) and (3.5, 3.75), the slope can be calculated as follows using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-1.5, -8.75) = (x_1, y_1) [/tex]

[tex] (3.5, 3.75) = (x_2, y_2) [/tex]

[tex] m = \frac{3.75 -(-8.75)}{3.5 -(-1.5)} [/tex]

[tex] m = \frac{3.75 + 8.75}{3.5 + 1.5} [/tex]

[tex] m = \frac{12.5}{5} [/tex]

[tex] m = 2.5 [/tex]

Slope = 2.5.

The y-intercept is the point at which the line intercepts the y-axis. On the graph, the line intercepts the y-axis at y = -5. Therefore, the y-intercept = -5.

Answer:

8

Step-by-step explanation:

Answer:

0 ≤ x ≤ 5

Step-by-step explanation:

I used the Desmos calculator

Answer:

1000 grams of fish= 1500 calories

1334 grams of fish= 2001 calories

1 gram of fish= 1.5 calories

Answer:

Deal A is best

Step-by-step explanation:

Given

Deal A:

3/4 lb for $2.50

Deal B:

2/10 lb for $5.25

Required

Which deal is the better

To do this, we simply calculate the lb/dollar ratio

i.e.

[tex]Ratio = \frac{Amount}{Size}[/tex]

For Deal A:

[tex]Ratio = \$2.50/\frac{3}{4}lb[/tex]

[tex]Ratio = \$2.50 * \frac{4}{3}lb[/tex]

[tex]Ratio = \frac{\$10}{3}lb[/tex]

[tex]Ratio = \$3.33/lb[/tex]

For Deal B:

[tex]Ratio = \$5.25/\frac{2}{10}lb[/tex]

[tex]Ratio = \$5.25 * \frac{10}{2}lb[/tex]

[tex]Ratio = \frac{52.5}{2}lb[/tex]

[tex]Ratio = \$26.25/lb[/tex]

The better deal is the least expensive:

Hence: Deal A is better

Answer:

Step-by-step explanation:

From the picture attached,

Given:

GH║KL and J is the midpoint of HK.

To Prove:

ΔGHJ ≅ ΔLKJ

       Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

    Statements                              Reasons

1. GH║KL                                  1. Given

2. J is the midpoint of HK       2. Given

3. JH ≅ JK                                3. Definition of the midpoint of a segment

4. ∠JKL ≅ ∠JHG                      4. Alternate interior angles

5. ∠GJH ≅ ∠KJL                      5. Vertically opposite angles

6. ΔGHJ ≅ ΔLKJ                      6. By ASA theorem of congruence

We have to prove the statement, ∠GHJ = ∠LKJ

Given; GH || KL, J is the midpoint of HK.

To prove; ∠GHJ = ∠LKJ

Given; J is the midpoint of HK,

By definition midpoint of a segment,

The midpoint is the middle part of the line segment J, it is equidistant from both endpoints it is the centroid of the segment of the endpoints.

JH ≅ HK

Then, by the property of alternate interior angles,

∠JKL≅ ∠JKH

Therefore, by the property of vertically opposite angles,

When two lines intersect they form four angles. Vertical angles are the angles that are opposite to each other. Any two intersecting lines form two pairs of vertical angles that are opposite to each other.

∠GJH ≅ KJL

By ASA congruence theorem,

When two triangles are congruent to each other - If two angles and the involved side of one triangle is equivalent to the two angles and the included side of the other triangle.

ΔGHJ ≅ ΔLKJ

Hence Proved.

For more details refer to the link.

https://brainly.com/question/1751208

Answer:

90

Step-by-step explanation:

5*-9=-45

-45*-2=90

Answer:

90

Step-by-step explanation:

Let's solve this step by step:

(5) · (-9) · (-2)

First, there are two negatives in this equation. They will cancel each other out, to simply make 9 · 2:

5 · 9 · 2 =

Now, we do the multiplication:

5 · 9 · 2 = 45 · 2 = 90

90 is the answer!

Answer:

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $69512

Step-by-step explanation:

Given that total amount of investment = $150,000

Let the amount invested on 5.6% interest = $[tex]x[/tex]

Now, amount invested on 9.7% interest = $(150000-[tex]x[/tex])

Total interest to be earned = 7.5%

Formula to be used:

[tex]Simple\ Interest = \dfrac{P\times r\times t}{100}[/tex]

Where, [tex]P[/tex] is the amount invested

[tex]r[/tex] is the rate of interest

[tex]t[/tex] is the time for which amount is invested.

As per question statement:

[tex]\dfrac{x\times 5.6}{100}+\dfrac{(150000-x)\times 9.7}{100}=\dfrac{150000\times 7.5}{100}\\\Rightarrow 5.6x-9.7x=150000(7.5-9.7)\\\Rightarrow 4.1x=150000\times 2.2\\\Rightarrow x = \dfrac{330000}{4.1}\\\Rightarrow x \approx \bold{\$80488}[/tex]

The amount invested on 5.6% interest = $80488

The amount invested on 9.7% interest = $150000 - $80488 = $69512

Answer:

10 inches

Step-by-step explanation:

Answer:

point b

Step-by-step explanation:

[tex] \frac{3}{2} = 1.5[/tex]

Answer:

B

Step-by-step explanation:

It is actually pretty simple if you know what to do.

First you simplify 3/2. That will get you 1 1/2

If you look closley you can see that B is in the 1 1/2 place.

Thats it!

Hope this helped! :)

Answer:

13

Step-by-step explanation:

Answer:

10.7 cm

Step-by-step explanation:

A= bh

[tex]\sqrt{115}[/tex] = 10.7 cm

Answer:

1/4 x

Step-by-step explanation:

from 1 to 3 is 2, and from 2 to 6 is 4

2/4 simplifies to 1/2

can i get brainliest please?

f(-2) = 2(-2)+3

f(-2) = -4+3

f(-2) = -1

g(4) = (4) - 7

g(4) = -3

f(-2) + g(4) is -1 + (-3) which is -4

Answer:

4/3

sorry if its wrong. i tried

Answer:

29

Step-by-step explanation:

sum of angles in a triangle=180°

180-(67+84)=29°